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1 Package:·libdeal.ii-doc1 Package:·libdeal.ii-doc
2 Source:·deal.ii2 Source:·deal.ii
3 Version:·9.5.1-23 Version:·9.5.1-2
4 Architecture:·all4 Architecture:·all
5 Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org>5 Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org>
6 Installed-Size:·6050606 Installed-Size:·605058
7 Depends:·fonts-mathjax-extras,·libjs-mathjax7 Depends:·fonts-mathjax-extras,·libjs-mathjax
8 Section:·doc8 Section:·doc
9 Priority:·optional9 Priority:·optional
10 Multi-Arch:·foreign10 Multi-Arch:·foreign
11 Homepage:·http://www.dealii.org/11 Homepage:·http://www.dealii.org/
12 Description:·Differential·Equations·Analysis·Library·-·html·doc.·and·examples12 Description:·Differential·Equations·Analysis·Library·-·html·doc.·and·examples
13 ·deal.II·is·a·C++·program·library·targeted·at·the·computational·solution·of13 ·deal.II·is·a·C++·program·library·targeted·at·the·computational·solution·of
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181 </table><table·class="memberdecls">181 </table><table·class="memberdecls">
182 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pri-static-attribs"·name="pri-static-attribs"></a>182 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pri-static-attribs"·name="pri-static-attribs"></a>
183 Static·Private·Attributes</h2></td></tr>183 Static·Private·Attributes</h2></td></tr>
184 <tr·class="memitem:a7e0d86893427a935e46d5bd6dcbc3f78"·id="r_a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memItemLeft"·align="right"·valign="top">static·std::mutex&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classSubscriptor.html#a7e0d86893427a935e46d5bd6dcbc3f78">mutex</a></td></tr>184 <tr·class="memitem:a7e0d86893427a935e46d5bd6dcbc3f78"·id="r_a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memItemLeft"·align="right"·valign="top">static·std::mutex&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classSubscriptor.html#a7e0d86893427a935e46d5bd6dcbc3f78">mutex</a></td></tr>
185 <tr·class="separator:a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>185 <tr·class="separator:a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
186 </table>186 </table>
187 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>187 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
188 <div·class="textblock"><dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000002">Todo:</a></b></dt><dd>Update·this·documentation·and·the·one·of·Operator</dd></dl>188 <div·class="textblock"><dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000001">Todo:</a></b></dt><dd>Update·this·documentation·and·the·one·of·Operator</dd></dl>
189 <p>The·abstract·base·class·of·all·algorithms·in·this·library.·An·operator·is·an·object·with·an·operator(),·which·transforms·a·set·of·named·vectors·into·another·set·of·named·vectors.</p>189 <p>The·abstract·base·class·of·all·algorithms·in·this·library.·An·operator·is·an·object·with·an·operator(),·which·transforms·a·set·of·named·vectors·into·another·set·of·named·vectors.</p>
190 <p>Furthermore,·an·operator·can·be·notified·of·parameter·changes·by·the·calling·routine.·The·outer·iteration·can·<a·class="el"·href="classAlgorithms_1_1OperatorBase.html#a323b3c68dcc97618c29e2b0cc6a2d387">notify()</a>·the·Operator·of·an·<a·class="el"·href="classAlgorithms_1_1Event.html">Event</a>,·which·could·be·for·instance·a·change·of·mesh,·a·different·time·step·size·or·too·slow·convergence·of·<a·class="el"·href="classAlgorithms_1_1Newton.html">Newton</a>'s·method,·which·would·then·trigger·reassembling·of·a·matrix·or·similar·things.</p>190 <p>Furthermore,·an·operator·can·be·notified·of·parameter·changes·by·the·calling·routine.·The·outer·iteration·can·<a·class="el"·href="classAlgorithms_1_1OperatorBase.html#a323b3c68dcc97618c29e2b0cc6a2d387">notify()</a>·the·Operator·of·an·<a·class="el"·href="classAlgorithms_1_1Event.html">Event</a>,·which·could·be·for·instance·a·change·of·mesh,·a·different·time·step·size·or·too·slow·convergence·of·<a·class="el"·href="classAlgorithms_1_1Newton.html">Newton</a>'s·method,·which·would·then·trigger·reassembling·of·a·matrix·or·similar·things.</p>
191 <h3>Usage·for·nested·iterations</h3>191 <h3>Usage·for·nested·iterations</h3>
192 <p>This·is·probably·the·most·prominent·use·for·Operator,·where·an·outer·iterative·method·calls·an·inner·solver·and·so·on.·Typically,·the·innermost·method·in·such·a·nested·system·will·have·to·compute·a·residual·using·values·from·all·outer·iterations.·Since·the·depth·and·order·of·such·a·nesting·is·hardly·predictable·when·designing·a·general·tool,·we·use·<a·class="el"·href="classAnyData.html">AnyData</a>·to·access·these·vectors.·Typically,·the·first·vector·in·<code>out</code>·contains·the·start·vector·when·<a·class="el"·href="classAlgorithms_1_1OperatorBase.html#a819da51c01fd0bca15a30e3c388cd540">operator()()</a>·is·called,·and·the·solution·when·the·function·returns.·The·object·<code>in</code>·is·providing·additional·information·and·forwarded·to·the·inner·Operator·objects·of·the·nested·iteration.·</p>192 <p>This·is·probably·the·most·prominent·use·for·Operator,·where·an·outer·iterative·method·calls·an·inner·solver·and·so·on.·Typically,·the·innermost·method·in·such·a·nested·system·will·have·to·compute·a·residual·using·values·from·all·outer·iterations.·Since·the·depth·and·order·of·such·a·nesting·is·hardly·predictable·when·designing·a·general·tool,·we·use·<a·class="el"·href="classAnyData.html">AnyData</a>·to·access·these·vectors.·Typically,·the·first·vector·in·<code>out</code>·contains·the·start·vector·when·<a·class="el"·href="classAlgorithms_1_1OperatorBase.html#a819da51c01fd0bca15a30e3c388cd540">operator()()</a>·is·called,·and·the·solution·when·the·function·returns.·The·object·<code>in</code>·is·providing·additional·information·and·forwarded·to·the·inner·Operator·objects·of·the·nested·iteration.·</p>
  
193 <p·class="definition">Definition·at·line·<a·class="el"·href="operator_8h_source.html#l00066">66</a>·of·file·<a·class="el"·href="operator_8h_source.html">operator.h</a>.</p>193 <p·class="definition">Definition·at·line·<a·class="el"·href="operator_8h_source.html#l00066">66</a>·of·file·<a·class="el"·href="operator_8h_source.html">operator.h</a>.</p>
194 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>194 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>
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254 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pri-static-attribs"·name="pri-static-attribs"></a>254 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="pri-static-attribs"·name="pri-static-attribs"></a>
255 Static·Private·Attributes</h2></td></tr>255 Static·Private·Attributes</h2></td></tr>
256 <tr·class="memitem:a7e0d86893427a935e46d5bd6dcbc3f78"·id="r_a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memItemLeft"·align="right"·valign="top">static·std::mutex&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classSubscriptor.html#a7e0d86893427a935e46d5bd6dcbc3f78">mutex</a></td></tr>256 <tr·class="memitem:a7e0d86893427a935e46d5bd6dcbc3f78"·id="r_a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memItemLeft"·align="right"·valign="top">static·std::mutex&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classSubscriptor.html#a7e0d86893427a935e46d5bd6dcbc3f78">mutex</a></td></tr>
257 <tr·class="separator:a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>257 <tr·class="separator:a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
258 </table>258 </table>
259 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>259 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
260 <div·class="textblock"><p>Store·any·amount·of·any·type·of·data·accessible·by·an·identifier·string.</p>260 <div·class="textblock"><p>Store·any·amount·of·any·type·of·data·accessible·by·an·identifier·string.</p>
261 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000001">Todo:</a></b></dt><dd>GK:·Deprecate·access·to·<a·class="el"·href="classAnyData.html">AnyData</a>·by·index·and·change·to·a·map.·</dd></dl>261 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000002">Todo:</a></b></dt><dd>GK:·Deprecate·access·to·<a·class="el"·href="classAnyData.html">AnyData</a>·by·index·and·change·to·a·map.·</dd></dl>
  
262 <p·class="definition">Definition·at·line·<a·class="el"·href="any__data_8h_source.html#l00037">37</a>·of·file·<a·class="el"·href="any__data_8h_source.html">any_data.h</a>.</p>262 <p·class="definition">Definition·at·line·<a·class="el"·href="any__data_8h_source.html#l00037">37</a>·of·file·<a·class="el"·href="any__data_8h_source.html">any_data.h</a>.</p>
263 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>263 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>
264 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>264 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>
265 <h2·class="memtitle"><span·class="permalink"><a·href="#aeb9ac67567aa7d837f25debd33cd4ce5">&#9670;&#160;</a></span>map_value_type</h2>265 <h2·class="memtitle"><span·class="permalink"><a·href="#aeb9ac67567aa7d837f25debd33cd4ce5">&#9670;&#160;</a></span>map_value_type</h2>
  
266 <div·class="memitem">266 <div·class="memitem">
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3155 ······</table>3155 ······</table>
3156 ··</td>3156 ··</td>
3157 ··<td·class="mlabels-right">3157 ··<td·class="mlabels-right">
3158 <span·class="mlabels"><span·class="mlabel">inherited</span></span>··</td>3158 <span·class="mlabels"><span·class="mlabel">inherited</span></span>··</td>
3159 ··</tr>3159 ··</tr>
3160 </table>3160 </table>
3161 </div><div·class="memdoc">3161 </div><div·class="memdoc">
3162 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000091">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor.html#a24fb24948b4e177f8e4eb737ec057397">n_active_descendants()</a>·instead.·</dd></dl>3162 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000092">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor.html#a24fb24948b4e177f8e4eb737ec057397">n_active_descendants()</a>·instead.·</dd></dl>
  
3163 </div>3163 </div>
3164 </div>3164 </div>
3165 <a·id="a24fb24948b4e177f8e4eb737ec057397"·name="a24fb24948b4e177f8e4eb737ec057397"></a>3165 <a·id="a24fb24948b4e177f8e4eb737ec057397"·name="a24fb24948b4e177f8e4eb737ec057397"></a>
3166 <h2·class="memtitle"><span·class="permalink"><a·href="#a24fb24948b4e177f8e4eb737ec057397">&#9670;&#160;</a></span>n_active_descendants()</h2>3166 <h2·class="memtitle"><span·class="permalink"><a·href="#a24fb24948b4e177f8e4eb737ec057397">&#9670;&#160;</a></span>n_active_descendants()</h2>
  
3167 <div·class="memitem">3167 <div·class="memitem">
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2627 ······</table>2627 ······</table>
2628 ··</td>2628 ··</td>
2629 ··<td·class="mlabels-right">2629 ··<td·class="mlabels-right">
2630 <span·class="mlabels"><span·class="mlabel">static</span><span·class="mlabel">inherited</span></span>··</td>2630 <span·class="mlabels"><span·class="mlabel">static</span><span·class="mlabel">inherited</span></span>··</td>
2631 ··</tr>2631 ··</tr>
2632 </table>2632 </table>
2633 </div><div·class="memdoc">2633 </div><div·class="memdoc">
2634 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000093">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor_3_010_00_011_00_01spacedim_01_4.html#a6e3dd28811415224c0a677b5c1415d0f">n_active_descendants()</a>·instead.·</dd></dl>2634 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000094">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor_3_010_00_011_00_01spacedim_01_4.html#a6e3dd28811415224c0a677b5c1415d0f">n_active_descendants()</a>·instead.·</dd></dl>
  
2635 </div>2635 </div>
2636 </div>2636 </div>
2637 <a·id="a2d15c61e378b196d74751ccd2a9e755f"·name="a2d15c61e378b196d74751ccd2a9e755f"></a>2637 <a·id="a2d15c61e378b196d74751ccd2a9e755f"·name="a2d15c61e378b196d74751ccd2a9e755f"></a>
2638 <h2·class="memtitle"><span·class="permalink"><a·href="#a2d15c61e378b196d74751ccd2a9e755f">&#9670;&#160;</a></span>max_refinement_depth()</h2>2638 <h2·class="memtitle"><span·class="permalink"><a·href="#a2d15c61e378b196d74751ccd2a9e755f">&#9670;&#160;</a></span>max_refinement_depth()</h2>
  
2639 <div·class="memitem">2639 <div·class="memitem">
7.88 KB
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613 ······<table·class="memname">613 ······<table·class="memname">
614 ········<tr>614 ········<tr>
615 ··········<td·class="memname">using·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>&lt;·dim,·spacedim·&gt;::active_fe_index_type·=··<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a></td>615 ··········<td·class="memname">using·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>&lt;·dim,·spacedim·&gt;::active_fe_index_type·=··<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a></td>
616 ········</tr>616 ········</tr>
617 ······</table>617 ······</table>
618 </div><div·class="memdoc">618 </div><div·class="memdoc">
619 <p>The·type·in·which·we·store·the·active·FE·index.</p>619 <p>The·type·in·which·we·store·the·active·FE·index.</p>
620 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000042">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a>·instead.·</dd></dl>620 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000041">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a>·instead.·</dd></dl>
  
621 <p·class="definition">Definition·at·line·<a·class="el"·href="dof__handler_8h_source.html#l00537">537</a>·of·file·<a·class="el"·href="dof__handler_8h_source.html">dof_handler.h</a>.</p>621 <p·class="definition">Definition·at·line·<a·class="el"·href="dof__handler_8h_source.html#l00537">537</a>·of·file·<a·class="el"·href="dof__handler_8h_source.html">dof_handler.h</a>.</p>
  
622 </div>622 </div>
623 </div>623 </div>
624 <a·id="a607431fe2728befd73f17f28382b89f4"·name="a607431fe2728befd73f17f28382b89f4"></a>624 <a·id="a607431fe2728befd73f17f28382b89f4"·name="a607431fe2728befd73f17f28382b89f4"></a>
625 <h2·class="memtitle"><span·class="permalink"><a·href="#a607431fe2728befd73f17f28382b89f4">&#9670;&#160;</a></span>offset_type</h2>625 <h2·class="memtitle"><span·class="permalink"><a·href="#a607431fe2728befd73f17f28382b89f4">&#9670;&#160;</a></span>offset_type</h2>
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4997 ··</td>4997 ··</td>
4998 ··<td·class="mlabels-right">4998 ··<td·class="mlabels-right">
4999 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>4999 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
5000 ··</tr>5000 ··</tr>
5001 </table>5001 </table>
5002 </div><div·class="memdoc">5002 </div><div·class="memdoc">
5003 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>5003 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
5004 </div>5004 </div>
5005 </div>5005 </div>
5006 <a·id="a1ae4343ec757cd06ca8fb24c8487151e"·name="a1ae4343ec757cd06ca8fb24c8487151e"></a>5006 <a·id="a1ae4343ec757cd06ca8fb24c8487151e"·name="a1ae4343ec757cd06ca8fb24c8487151e"></a>
5007 <h2·class="memtitle"><span·class="permalink"><a·href="#a1ae4343ec757cd06ca8fb24c8487151e">&#9670;&#160;</a></span>fill_fe_values()·<span·class="overload">[2/2]</span></h2>5007 <h2·class="memtitle"><span·class="permalink"><a·href="#a1ae4343ec757cd06ca8fb24c8487151e">&#9670;&#160;</a></span>fill_fe_values()·<span·class="overload">[2/2]</span></h2>
  
5008 <div·class="memitem">5008 <div·class="memitem">
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1951 ······</table>1951 ······</table>
1952 ··</td>1952 ··</td>
1953 ··<td·class="mlabels-right">1953 ··<td·class="mlabels-right">
1954 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1954 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1955 ··</tr>1955 ··</tr>
1956 </table>1956 </table>
1957 </div><div·class="memdoc">1957 </div><div·class="memdoc">
1958 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1958 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1959 </div>1959 </div>
1960 </div>1960 </div>
1961 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>1961 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>
1962 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1962 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
1963 <div·class="memitem">1963 <div·class="memitem">
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584 <tr·class="memitem:a7e0d86893427a935e46d5bd6dcbc3f78"·id="r_a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memItemLeft"·align="right"·valign="top">static·std::mutex&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classSubscriptor.html#a7e0d86893427a935e46d5bd6dcbc3f78">mutex</a></td></tr>584 <tr·class="memitem:a7e0d86893427a935e46d5bd6dcbc3f78"·id="r_a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memItemLeft"·align="right"·valign="top">static·std::mutex&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classSubscriptor.html#a7e0d86893427a935e46d5bd6dcbc3f78">mutex</a></td></tr>
585 <tr·class="separator:a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>585 <tr·class="separator:a7e0d86893427a935e46d5bd6dcbc3f78"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
586 </table>586 </table>
587 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>587 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
588 <div·class="textblock"><div·class="compoundTemplParams">template&lt;<a·class="el"·href="classint.html">int</a>·dim&gt;<br·/>588 <div·class="textblock"><div·class="compoundTemplParams">template&lt;<a·class="el"·href="classint.html">int</a>·dim&gt;<br·/>
589 class·FE_BDM&lt;·dim·&gt;</div><p>The·Brezzi-Douglas-Marini·element.</p>589 class·FE_BDM&lt;·dim·&gt;</div><p>The·Brezzi-Douglas-Marini·element.</p>
590 <h3>Degrees·of·freedom</h3>590 <h3>Degrees·of·freedom</h3>
591 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000010">Todo:</a></b></dt><dd>The·3d·version·exhibits·some·numerical·instabilities,·in·particular·for·higher·order</dd></dl>591 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000008">Todo:</a></b></dt><dd>The·3d·version·exhibits·some·numerical·instabilities,·in·particular·for·higher·order</dd></dl>
592 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000011">Todo:</a></b></dt><dd>Restriction·matrices·are·missing.</dd></dl>592 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000009">Todo:</a></b></dt><dd>Restriction·matrices·are·missing.</dd></dl>
593 <p>The·matching·pressure·space·for·<a·class="el"·href="classFE__BDM.html">FE_BDM</a>·of·order·<em>k</em>·is·the·element·<a·class="el"·href="classFE__DGP.html">FE_DGP</a>·of·order·<em>k-1</em>.</p>593 <p>The·matching·pressure·space·for·<a·class="el"·href="classFE__BDM.html">FE_BDM</a>·of·order·<em>k</em>·is·the·element·<a·class="el"·href="classFE__DGP.html">FE_DGP</a>·of·order·<em>k-1</em>.</p>
594 <p>The·BDM·element·of·order·<code>p</code>·has·<em>p+1</em>·degrees·of·freedom·on·each·face.·These·are·implemented·as·the·function·values·in·the·<em>p+1</em>·Gauss·points·on·each·face.</p>594 <p>The·BDM·element·of·order·<code>p</code>·has·<em>p+1</em>·degrees·of·freedom·on·each·face.·These·are·implemented·as·the·function·values·in·the·<em>p+1</em>·Gauss·points·on·each·face.</p>
595 <p>Additionally,·for·order·greater·or·equal·2,·we·have·additional·<em>p(p-1)</em>,·the·number·of·vector·valued·polynomials·in·<em>P<sub>p</sub></em>,·interior·degrees·of·freedom.·These·are·the·vector·function·values·in·the·first·<em>p(p-1)/2</em>·of·the·<em>p<sup>2</sup></em>·Gauss·points·in·the·cell.·</p>595 <p>Additionally,·for·order·greater·or·equal·2,·we·have·additional·<em>p(p-1)</em>,·the·number·of·vector·valued·polynomials·in·<em>P<sub>p</sub></em>,·interior·degrees·of·freedom.·These·are·the·vector·function·values·in·the·first·<em>p(p-1)/2</em>·of·the·<em>p<sup>2</sup></em>·Gauss·points·in·the·cell.·</p>
  
596 <p·class="definition">Definition·at·line·<a·class="el"·href="fe__bdm_8h_source.html#l00059">59</a>·of·file·<a·class="el"·href="fe__bdm_8h_source.html">fe_bdm.h</a>.</p>596 <p·class="definition">Definition·at·line·<a·class="el"·href="fe__bdm_8h_source.html#l00059">59</a>·of·file·<a·class="el"·href="fe__bdm_8h_source.html">fe_bdm.h</a>.</p>
597 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>597 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>
598 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>598 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>
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1827 ··</td>1827 ··</td>
1828 ··<td·class="mlabels-right">1828 ··<td·class="mlabels-right">
1829 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1829 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1830 ··</tr>1830 ··</tr>
1831 </table>1831 </table>
1832 </div><div·class="memdoc">1832 </div><div·class="memdoc">
1833 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1833 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1834 </div>1834 </div>
1835 </div>1835 </div>
1836 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>1836 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>
1837 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1837 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
1838 <div·class="memitem">1838 <div·class="memitem">
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2648 ··</td>2648 ··</td>
2649 ··<td·class="mlabels-right">2649 ··<td·class="mlabels-right">
2650 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2650 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2651 ··</tr>2651 ··</tr>
2652 </table>2652 </table>
2653 </div><div·class="memdoc">2653 </div><div·class="memdoc">
2654 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2654 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2655 </div>2655 </div>
2656 </div>2656 </div>
2657 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2657 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2658 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2658 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
2659 <div·class="memitem">2659 <div·class="memitem">
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1756 ··</td>1756 ··</td>
1757 ··<td·class="mlabels-right">1757 ··<td·class="mlabels-right">
1758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1759 ··</tr>1759 ··</tr>
1760 </table>1760 </table>
1761 </div><div·class="memdoc">1761 </div><div·class="memdoc">
1762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1763 </div>1763 </div>
1764 </div>1764 </div>
1765 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>1765 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>
1766 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1766 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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1758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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1762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1763 </div>1763 </div>
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1766 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1766 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2558 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2558 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2559 ··</tr>2559 ··</tr>
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2561 </div><div·class="memdoc">2561 </div><div·class="memdoc">
2562 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2562 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2563 </div>2563 </div>
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2566 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2566 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2730 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2730 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2731 ··</tr>2731 ··</tr>
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2733 </div><div·class="memdoc">2733 </div><div·class="memdoc">
2734 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2734 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2735 </div>2735 </div>
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2738 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2738 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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4442 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>4442 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
4443 ··</tr>4443 ··</tr>
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4445 </div><div·class="memdoc">4445 </div><div·class="memdoc">
4446 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>4446 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
4447 </div>4447 </div>
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4449 <a·id="a3d137b5fefbb6f0af12dace8ff8e2d67"·name="a3d137b5fefbb6f0af12dace8ff8e2d67"></a>4449 <a·id="a3d137b5fefbb6f0af12dace8ff8e2d67"·name="a3d137b5fefbb6f0af12dace8ff8e2d67"></a>
4450 <h2·class="memtitle"><span·class="permalink"><a·href="#a3d137b5fefbb6f0af12dace8ff8e2d67">&#9670;&#160;</a></span>get_subface_data()</h2>4450 <h2·class="memtitle"><span·class="permalink"><a·href="#a3d137b5fefbb6f0af12dace8ff8e2d67">&#9670;&#160;</a></span>get_subface_data()</h2>
  
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2558 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2558 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2559 ··</tr>2559 ··</tr>
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2561 </div><div·class="memdoc">2561 </div><div·class="memdoc">
2562 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2562 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2563 </div>2563 </div>
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2566 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2566 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2484 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2484 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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2487 </div><div·class="memdoc">2487 </div><div·class="memdoc">
2488 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2488 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2489 </div>2489 </div>
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2492 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2492 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2487 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2487 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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2490 </div><div·class="memdoc">2490 </div><div·class="memdoc">
2491 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2491 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2492 </div>2492 </div>
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2495 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2495 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2485 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2485 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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2489 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2489 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2490 </div>2490 </div>
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2493 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2493 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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1758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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1761 </div><div·class="memdoc">1761 </div><div·class="memdoc">
1762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1763 </div>1763 </div>
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1766 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1766 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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1772 ··<td·class="mlabels-right">1772 ··<td·class="mlabels-right">
1773 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1773 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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1776 </div><div·class="memdoc">1776 </div><div·class="memdoc">
1777 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1777 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1778 </div>1778 </div>
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1781 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1781 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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4582 ··<td·class="mlabels-right">4582 ··<td·class="mlabels-right">
4583 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>4583 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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4588 </div>4588 </div>
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4591 <h2·class="memtitle"><span·class="permalink"><a·href="#a1ae4343ec757cd06ca8fb24c8487151e">&#9670;&#160;</a></span>fill_fe_values()·<span·class="overload">[2/2]</span></h2>4591 <h2·class="memtitle"><span·class="permalink"><a·href="#a1ae4343ec757cd06ca8fb24c8487151e">&#9670;&#160;</a></span>fill_fe_values()·<span·class="overload">[2/2]</span></h2>
  
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1293 </div>1293 </div>
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1580 <h2·class="memtitle"><span·class="permalink"><a·href="#ab8049b9703ad54bfbc7fa5eb9a0bc218">&#9670;&#160;</a></span>get_subface_data()·<span·class="overload">[1/2]</span></h2>1580 <h2·class="memtitle"><span·class="permalink"><a·href="#ab8049b9703ad54bfbc7fa5eb9a0bc218">&#9670;&#160;</a></span>get_subface_data()·<span·class="overload">[1/2]</span></h2>
  
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1448 </div>1448 </div>
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1451 <h2·class="memtitle"><span·class="permalink"><a·href="#a29cce3796701d9bf64225e89afd9ee96">&#9670;&#160;</a></span>get_subface_data()</h2>1451 <h2·class="memtitle"><span·class="permalink"><a·href="#a29cce3796701d9bf64225e89afd9ee96">&#9670;&#160;</a></span>get_subface_data()</h2>
  
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4495 </div>4495 </div>
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4322 </div>4322 </div>
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4192 </div>4192 </div>
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4429 </div>4429 </div>
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587 <div·class="line">······································<span·class="keyword">const</span>·<a·class="code·hl_class"·href="classPoint.html">Point&lt;dim&gt;</a>·&amp;p)·<span·class="keyword">const</span>;</div>587 <div·class="line">······································<span·class="keyword">const</span>·<a·class="code·hl_class"·href="classPoint.html">Point&lt;dim&gt;</a>·&amp;p)·<span·class="keyword">const</span>;</div>
588 <div·class="ttc"·id="aclassFiniteElementData_html_ae4924afaf7c18cb027b0f5d3c70b5215"><div·class="ttname"><a·href="classFiniteElementData.html#ae4924afaf7c18cb027b0f5d3c70b5215">FiniteElementData::dimension</a></div><div·class="ttdeci">static·constexpr·unsigned·int·dimension</div><div·class="ttdef"><b>Definition</b>·<a·href="fe__data_8h_source.html#l00302">fe_data.h:302</a></div></div>588 <div·class="ttc"·id="aclassFiniteElementData_html_ae4924afaf7c18cb027b0f5d3c70b5215"><div·class="ttname"><a·href="classFiniteElementData.html#ae4924afaf7c18cb027b0f5d3c70b5215">FiniteElementData::dimension</a></div><div·class="ttdeci">static·constexpr·unsigned·int·dimension</div><div·class="ttdef"><b>Definition</b>·<a·href="fe__data_8h_source.html#l00302">fe_data.h:302</a></div></div>
589 <div·class="ttc"·id="aclassPoint_html"><div·class="ttname"><a·href="classPoint.html">Point</a></div><div·class="ttdef"><b>Definition</b>·<a·href="base_2point_8h_source.html#l00111">point.h:112</a></div></div>589 <div·class="ttc"·id="aclassPoint_html"><div·class="ttname"><a·href="classPoint.html">Point</a></div><div·class="ttdef"><b>Definition</b>·<a·href="base_2point_8h_source.html#l00111">point.h:112</a></div></div>
590 <div·class="ttc"·id="aclassTensor_html"><div·class="ttname"><a·href="classTensor.html">Tensor</a></div><div·class="ttdef"><b>Definition</b>·<a·href="tensor_8h_source.html#l00515">tensor.h:516</a></div></div>590 <div·class="ttc"·id="aclassTensor_html"><div·class="ttname"><a·href="classTensor.html">Tensor</a></div><div·class="ttdef"><b>Definition</b>·<a·href="tensor_8h_source.html#l00515">tensor.h:516</a></div></div>
591 </div><!--·fragment·--><p>·Example·classes·are·<a·class="el"·href="classTensorProductPolynomials.html">TensorProductPolynomials</a>,·<a·class="el"·href="classPolynomialSpace.html">PolynomialSpace</a>·or·<a·class="el"·href="classPolynomialsP.html">PolynomialsP</a>.</p>591 </div><!--·fragment·--><p>·Example·classes·are·<a·class="el"·href="classTensorProductPolynomials.html">TensorProductPolynomials</a>,·<a·class="el"·href="classPolynomialSpace.html">PolynomialSpace</a>·or·<a·class="el"·href="classPolynomialsP.html">PolynomialsP</a>.</p>
592 <p>This·class·is·not·a·fully·implemented·<a·class="el"·href="classFiniteElement.html">FiniteElement</a>·class.·Instead·there·are·several·pure·virtual·functions·declared·in·the·<a·class="el"·href="classFiniteElement.html">FiniteElement</a>·and·<a·class="el"·href="classFiniteElement.html">FiniteElement</a>·classes·which·cannot·be·implemented·by·this·class·but·are·left·for·implementation·in·derived·classes.</p>592 <p>This·class·is·not·a·fully·implemented·<a·class="el"·href="classFiniteElement.html">FiniteElement</a>·class.·Instead·there·are·several·pure·virtual·functions·declared·in·the·<a·class="el"·href="classFiniteElement.html">FiniteElement</a>·and·<a·class="el"·href="classFiniteElement.html">FiniteElement</a>·classes·which·cannot·be·implemented·by·this·class·but·are·left·for·implementation·in·derived·classes.</p>
593 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000008">Todo:</a></b></dt><dd>Since·nearly·all·functions·for·spacedim·!=·dim·are·specialized,·this·class·needs·cleaning·up.·</dd></dl>593 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>Since·nearly·all·functions·for·spacedim·!=·dim·are·specialized,·this·class·needs·cleaning·up.·</dd></dl>
  
594 <p·class="definition">Definition·at·line·<a·class="el"·href="fe__poly_8h_source.html#l00076">76</a>·of·file·<a·class="el"·href="fe__poly_8h_source.html">fe_poly.h</a>.</p>594 <p·class="definition">Definition·at·line·<a·class="el"·href="fe__poly_8h_source.html#l00076">76</a>·of·file·<a·class="el"·href="fe__poly_8h_source.html">fe_poly.h</a>.</p>
595 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>595 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>
596 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>596 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>
597 <h2·class="memtitle"><span·class="permalink"><a·href="#aeb9ac67567aa7d837f25debd33cd4ce5">&#9670;&#160;</a></span>map_value_type</h2>597 <h2·class="memtitle"><span·class="permalink"><a·href="#aeb9ac67567aa7d837f25debd33cd4ce5">&#9670;&#160;</a></span>map_value_type</h2>
  
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4168 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>4168 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
4169 ··</tr>4169 ··</tr>
4170 </table>4170 </table>
4171 </div><div·class="memdoc">4171 </div><div·class="memdoc">
4172 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>4172 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
4173 </div>4173 </div>
4174 </div>4174 </div>
4175 <a·id="a1ae4343ec757cd06ca8fb24c8487151e"·name="a1ae4343ec757cd06ca8fb24c8487151e"></a>4175 <a·id="a1ae4343ec757cd06ca8fb24c8487151e"·name="a1ae4343ec757cd06ca8fb24c8487151e"></a>
4176 <h2·class="memtitle"><span·class="permalink"><a·href="#a1ae4343ec757cd06ca8fb24c8487151e">&#9670;&#160;</a></span>fill_fe_values()·<span·class="overload">[2/2]</span></h2>4176 <h2·class="memtitle"><span·class="permalink"><a·href="#a1ae4343ec757cd06ca8fb24c8487151e">&#9670;&#160;</a></span>fill_fe_values()·<span·class="overload">[2/2]</span></h2>
  
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4262 ··<td·class="mlabels-right">4262 ··<td·class="mlabels-right">
4263 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>4263 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
4264 ··</tr>4264 ··</tr>
4265 </table>4265 </table>
4266 </div><div·class="memdoc">4266 </div><div·class="memdoc">
4267 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>4267 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
4268 </div>4268 </div>
4269 </div>4269 </div>
4270 <a·id="a3d137b5fefbb6f0af12dace8ff8e2d67"·name="a3d137b5fefbb6f0af12dace8ff8e2d67"></a>4270 <a·id="a3d137b5fefbb6f0af12dace8ff8e2d67"·name="a3d137b5fefbb6f0af12dace8ff8e2d67"></a>
4271 <h2·class="memtitle"><span·class="permalink"><a·href="#a3d137b5fefbb6f0af12dace8ff8e2d67">&#9670;&#160;</a></span>get_subface_data()</h2>4271 <h2·class="memtitle"><span·class="permalink"><a·href="#a3d137b5fefbb6f0af12dace8ff8e2d67">&#9670;&#160;</a></span>get_subface_data()</h2>
  
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1913 ··<td·class="mlabels-right">1913 ··<td·class="mlabels-right">
1914 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1914 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
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1916 </table>1916 </table>
1917 </div><div·class="memdoc">1917 </div><div·class="memdoc">
1918 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1918 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1919 </div>1919 </div>
1920 </div>1920 </div>
1921 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>1921 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
1922 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1922 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2074 ··<td·class="mlabels-right">2074 ··<td·class="mlabels-right">
2075 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2075 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2076 ··</tr>2076 ··</tr>
2077 </table>2077 </table>
2078 </div><div·class="memdoc">2078 </div><div·class="memdoc">
2079 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2079 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2080 </div>2080 </div>
2081 </div>2081 </div>
2082 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2082 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2083 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2083 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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1863 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1863 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1864 ··</tr>1864 ··</tr>
1865 </table>1865 </table>
1866 </div><div·class="memdoc">1866 </div><div·class="memdoc">
1867 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1867 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1868 </div>1868 </div>
1869 </div>1869 </div>
1870 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>1870 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
1871 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1871 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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3300 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>3300 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
3301 ··</tr>3301 ··</tr>
3302 </table>3302 </table>
3303 </div><div·class="memdoc">3303 </div><div·class="memdoc">
3304 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>3304 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
3305 </div>3305 </div>
3306 </div>3306 </div>
3307 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>3307 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
3308 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>3308 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2533 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2533 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2534 ··</tr>2534 ··</tr>
2535 </table>2535 </table>
2536 </div><div·class="memdoc">2536 </div><div·class="memdoc">
2537 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2537 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2538 </div>2538 </div>
2539 </div>2539 </div>
2540 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2540 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2541 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2541 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2758 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2759 ··</tr>2759 ··</tr>
2760 </table>2760 </table>
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2762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2762 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2763 </div>2763 </div>
2764 </div>2764 </div>
2765 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2765 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2766 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2766 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2925 ··</td>2925 ··</td>
2926 ··<td·class="mlabels-right">2926 ··<td·class="mlabels-right">
2927 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2927 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2928 ··</tr>2928 ··</tr>
2929 </table>2929 </table>
2930 </div><div·class="memdoc">2930 </div><div·class="memdoc">
2931 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2931 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2932 </div>2932 </div>
2933 </div>2933 </div>
2934 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2934 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2935 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2935 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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3506 ··</td>3506 ··</td>
3507 ··<td·class="mlabels-right">3507 ··<td·class="mlabels-right">
3508 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>3508 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
3509 ··</tr>3509 ··</tr>
3510 </table>3510 </table>
3511 </div><div·class="memdoc">3511 </div><div·class="memdoc">
3512 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>3512 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
3513 </div>3513 </div>
3514 </div>3514 </div>
3515 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>3515 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
3516 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>3516 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2702 ··</td>2702 ··</td>
2703 ··<td·class="mlabels-right">2703 ··<td·class="mlabels-right">
2704 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2704 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2705 ··</tr>2705 ··</tr>
2706 </table>2706 </table>
2707 </div><div·class="memdoc">2707 </div><div·class="memdoc">
2708 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2708 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2709 </div>2709 </div>
2710 </div>2710 </div>
2711 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2711 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2712 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2712 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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598 <img·src="rtbubbles.png"·alt=""/>598 <img·src="rtbubbles.png"·alt=""/>
599 </div>599 </div>
600 ·<p·class="endtd"></p>600 ·<p·class="endtd"></p>
601 </td></tr>601 </td></tr>
602 <tr>602 <tr>
603 <td·align="center">Left·-·\(2d,\,k=3\),·right·-·\(3d,\,k=2\).·</td></tr>603 <td·align="center">Left·-·\(2d,\,k=3\),·right·-·\(3d,\,k=2\).·</td></tr>
604 </table>604 </table>
605 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000012">Todo:</a></b></dt><dd>Implement·restriction·matrices·</dd></dl>605 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000016">Todo:</a></b></dt><dd>Implement·restriction·matrices·</dd></dl>
  
606 <p·class="definition">Definition·at·line·<a·class="el"·href="fe__rt__bubbles_8h_source.html#l00088">88</a>·of·file·<a·class="el"·href="fe__rt__bubbles_8h_source.html">fe_rt_bubbles.h</a>.</p>606 <p·class="definition">Definition·at·line·<a·class="el"·href="fe__rt__bubbles_8h_source.html#l00088">88</a>·of·file·<a·class="el"·href="fe__rt__bubbles_8h_source.html">fe_rt_bubbles.h</a>.</p>
607 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>607 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>
608 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>608 <a·id="aeb9ac67567aa7d837f25debd33cd4ce5"·name="aeb9ac67567aa7d837f25debd33cd4ce5"></a>
609 <h2·class="memtitle"><span·class="permalink"><a·href="#aeb9ac67567aa7d837f25debd33cd4ce5">&#9670;&#160;</a></span>map_value_type</h2>609 <h2·class="memtitle"><span·class="permalink"><a·href="#aeb9ac67567aa7d837f25debd33cd4ce5">&#9670;&#160;</a></span>map_value_type</h2>
  
610 <div·class="memitem">610 <div·class="memitem">
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1995 ··</td>1995 ··</td>
1996 ··<td·class="mlabels-right">1996 ··<td·class="mlabels-right">
1997 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1997 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1998 ··</tr>1998 ··</tr>
1999 </table>1999 </table>
2000 </div><div·class="memdoc">2000 </div><div·class="memdoc">
2001 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2001 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2002 </div>2002 </div>
2003 </div>2003 </div>
2004 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2004 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2005 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2005 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2040 ··</td>2040 ··</td>
2041 ··<td·class="mlabels-right">2041 ··<td·class="mlabels-right">
2042 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2042 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2043 ··</tr>2043 ··</tr>
2044 </table>2044 </table>
2045 </div><div·class="memdoc">2045 </div><div·class="memdoc">
2046 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2046 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2047 </div>2047 </div>
2048 </div>2048 </div>
2049 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>2049 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>
2050 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2050 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2245 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2245 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2246 ··</tr>2246 ··</tr>
2247 </table>2247 </table>
2248 </div><div·class="memdoc">2248 </div><div·class="memdoc">
2249 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2249 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2250 </div>2250 </div>
2251 </div>2251 </div>
2252 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>2252 <a·id="abb6fa45bcee5a64d541c9942ca5f68be"·name="abb6fa45bcee5a64d541c9942ca5f68be"></a>
2253 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2253 <h2·class="memtitle"><span·class="permalink"><a·href="#abb6fa45bcee5a64d541c9942ca5f68be">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2301 ··<td·class="mlabels-right">2301 ··<td·class="mlabels-right">
2302 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2302 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2303 ··</tr>2303 ··</tr>
2304 </table>2304 </table>
2305 </div><div·class="memdoc">2305 </div><div·class="memdoc">
2306 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2306 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2307 </div>2307 </div>
2308 </div>2308 </div>
2309 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2309 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2310 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2310 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2300 ··</td>2300 ··</td>
2301 ··<td·class="mlabels-right">2301 ··<td·class="mlabels-right">
2302 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2302 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2303 ··</tr>2303 ··</tr>
2304 </table>2304 </table>
2305 </div><div·class="memdoc">2305 </div><div·class="memdoc">
2306 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2306 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2307 </div>2307 </div>
2308 </div>2308 </div>
2309 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2309 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2310 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2310 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2195 ··<td·class="mlabels-right">2195 ··<td·class="mlabels-right">
2196 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2196 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2197 ··</tr>2197 ··</tr>
2198 </table>2198 </table>
2199 </div><div·class="memdoc">2199 </div><div·class="memdoc">
2200 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2200 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2201 </div>2201 </div>
2202 </div>2202 </div>
2203 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2203 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2204 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2204 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2146 ··</td>2146 ··</td>
2147 ··<td·class="mlabels-right">2147 ··<td·class="mlabels-right">
2148 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2148 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2149 ··</tr>2149 ··</tr>
2150 </table>2150 </table>
2151 </div><div·class="memdoc">2151 </div><div·class="memdoc">
2152 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2152 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2153 </div>2153 </div>
2154 </div>2154 </div>
2155 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2155 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2156 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2156 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
2157 <div·class="memitem">2157 <div·class="memitem">
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1331 ··</td>1331 ··</td>
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1333 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1333 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1334 ··</tr>1334 ··</tr>
1335 </table>1335 </table>
1336 </div><div·class="memdoc">1336 </div><div·class="memdoc">
1337 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1337 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1338 </div>1338 </div>
1339 </div>1339 </div>
1340 <a·id="a29cce3796701d9bf64225e89afd9ee96"·name="a29cce3796701d9bf64225e89afd9ee96"></a>1340 <a·id="a29cce3796701d9bf64225e89afd9ee96"·name="a29cce3796701d9bf64225e89afd9ee96"></a>
1341 <h2·class="memtitle"><span·class="permalink"><a·href="#a29cce3796701d9bf64225e89afd9ee96">&#9670;&#160;</a></span>get_subface_data()</h2>1341 <h2·class="memtitle"><span·class="permalink"><a·href="#a29cce3796701d9bf64225e89afd9ee96">&#9670;&#160;</a></span>get_subface_data()</h2>
  
1342 <div·class="memitem">1342 <div·class="memitem">
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1569 ······</table>1569 ······</table>
1570 ··</td>1570 ··</td>
1571 ··<td·class="mlabels-right">1571 ··<td·class="mlabels-right">
1572 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1572 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1573 ··</tr>1573 ··</tr>
1574 </table>1574 </table>
1575 </div><div·class="memdoc">1575 </div><div·class="memdoc">
1576 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1576 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1577 </div>1577 </div>
1578 </div>1578 </div>
1579 <a·id="ab8049b9703ad54bfbc7fa5eb9a0bc218"·name="ab8049b9703ad54bfbc7fa5eb9a0bc218"></a>1579 <a·id="ab8049b9703ad54bfbc7fa5eb9a0bc218"·name="ab8049b9703ad54bfbc7fa5eb9a0bc218"></a>
1580 <h2·class="memtitle"><span·class="permalink"><a·href="#ab8049b9703ad54bfbc7fa5eb9a0bc218">&#9670;&#160;</a></span>get_subface_data()·<span·class="overload">[1/2]</span></h2>1580 <h2·class="memtitle"><span·class="permalink"><a·href="#ab8049b9703ad54bfbc7fa5eb9a0bc218">&#9670;&#160;</a></span>get_subface_data()·<span·class="overload">[1/2]</span></h2>
  
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1912 ··</td>1912 ··</td>
1913 ··<td·class="mlabels-right">1913 ··<td·class="mlabels-right">
1914 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1914 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1915 ··</tr>1915 ··</tr>
1916 </table>1916 </table>
1917 </div><div·class="memdoc">1917 </div><div·class="memdoc">
1918 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1918 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1919 </div>1919 </div>
1920 </div>1920 </div>
1921 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>1921 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
1922 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1922 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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2073 ··</td>2073 ··</td>
2074 ··<td·class="mlabels-right">2074 ··<td·class="mlabels-right">
2075 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>2075 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
2076 ··</tr>2076 ··</tr>
2077 </table>2077 </table>
2078 </div><div·class="memdoc">2078 </div><div·class="memdoc">
2079 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>2079 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
2080 </div>2080 </div>
2081 </div>2081 </div>
2082 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>2082 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
2083 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>2083 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
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1860 ······</table>1860 ······</table>
1861 ··</td>1861 ··</td>
1862 ··<td·class="mlabels-right">1862 ··<td·class="mlabels-right">
1863 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>1863 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span><span·class="mlabel">inherited</span></span>··</td>
1864 ··</tr>1864 ··</tr>
1865 </table>1865 </table>
1866 </div><div·class="memdoc">1866 </div><div·class="memdoc">
1867 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>1867 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
1868 </div>1868 </div>
1869 </div>1869 </div>
1870 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>1870 <a·id="aef37107da2f6beaecc46ac4a4f4b219f"·name="aef37107da2f6beaecc46ac4a4f4b219f"></a>
1871 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>1871 <h2·class="memtitle"><span·class="permalink"><a·href="#aef37107da2f6beaecc46ac4a4f4b219f">&#9670;&#160;</a></span>fill_fe_subface_values()·<span·class="overload">[1/2]</span></h2>
  
1872 <div·class="memitem">1872 <div·class="memitem">
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3805 ······</table>3805 ······</table>
3806 ··</td>3806 ··</td>
3807 ··<td·class="mlabels-right">3807 ··<td·class="mlabels-right">
3808 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span></span>··</td>3808 <span·class="mlabels"><span·class="mlabel">protected</span><span·class="mlabel">virtual</span></span>··</td>
3809 ··</tr>3809 ··</tr>
3810 </table>3810 </table>
3811 </div><div·class="memdoc">3811 </div><div·class="memdoc">
3812 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000046">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>3812 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000045">Deprecated:</a></b></dt><dd>Use·the·version·taking·a·<a·class="el"·href="classhp_1_1QCollection.html">hp::QCollection</a>·argument.·</dd></dl>
  
3813 </div>3813 </div>
3814 </div>3814 </div>
3815 <a·id="a3d137b5fefbb6f0af12dace8ff8e2d67"·name="a3d137b5fefbb6f0af12dace8ff8e2d67"></a>3815 <a·id="a3d137b5fefbb6f0af12dace8ff8e2d67"·name="a3d137b5fefbb6f0af12dace8ff8e2d67"></a>
3816 <h2·class="memtitle"><span·class="permalink"><a·href="#a3d137b5fefbb6f0af12dace8ff8e2d67">&#9670;&#160;</a></span>get_subface_data()</h2>3816 <h2·class="memtitle"><span·class="permalink"><a·href="#a3d137b5fefbb6f0af12dace8ff8e2d67">&#9670;&#160;</a></span>get_subface_data()</h2>
  
3817 <div·class="memitem">3817 <div·class="memitem">
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687 ······</table>687 ······</table>
688 ··</td>688 ··</td>
689 ··<td·class="mlabels-right">689 ··<td·class="mlabels-right">
690 <span·class="mlabels"><span·class="mlabel">inline</span><span·class="mlabel">override</span><span·class="mlabel">virtual</span></span>··</td>690 <span·class="mlabels"><span·class="mlabel">inline</span><span·class="mlabel">override</span><span·class="mlabel">virtual</span></span>··</td>
691 ··</tr>691 ··</tr>
692 </table>692 </table>
693 </div><div·class="memdoc">693 </div><div·class="memdoc">
694 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000136">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1EpetraWrappers_1_1Vector.html#a8c46244bedae7d8e28e7c8f35038d487">import_elements()</a>·instead.·</dd></dl>694 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000135">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1EpetraWrappers_1_1Vector.html#a8c46244bedae7d8e28e7c8f35038d487">import_elements()</a>·instead.·</dd></dl>
  
695 <p>Implements·<a·class="el"·href="classLinearAlgebra_1_1VectorSpaceVector.html#a0c05d3725740bda0feab10c660582669">LinearAlgebra::VectorSpaceVector&lt;·double·&gt;</a>.</p>695 <p>Implements·<a·class="el"·href="classLinearAlgebra_1_1VectorSpaceVector.html#a0c05d3725740bda0feab10c660582669">LinearAlgebra::VectorSpaceVector&lt;·double·&gt;</a>.</p>
  
696 <p·class="definition">Definition·at·line·<a·class="el"·href="trilinos__epetra__vector_8h_source.html#l00141">141</a>·of·file·<a·class="el"·href="trilinos__epetra__vector_8h_source.html">trilinos_epetra_vector.h</a>.</p>696 <p·class="definition">Definition·at·line·<a·class="el"·href="trilinos__epetra__vector_8h_source.html#l00141">141</a>·of·file·<a·class="el"·href="trilinos__epetra__vector_8h_source.html">trilinos_epetra_vector.h</a>.</p>
  
697 </div>697 </div>
698 </div>698 </div>
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1036 ··</td>1036 ··</td>
1037 ··<td·class="mlabels-right">1037 ··<td·class="mlabels-right">
1038 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>1038 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>
1039 ··</tr>1039 ··</tr>
1040 </table>1040 </table>
1041 </div><div·class="memdoc">1041 </div><div·class="memdoc">
1042 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000107">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1ReadWriteVector.html#a006444015cb03a68a9301fe97184d2f9">import_elements()</a>·instead.·</dd></dl>1042 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000124">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1ReadWriteVector.html#a006444015cb03a68a9301fe97184d2f9">import_elements()</a>·instead.·</dd></dl>
  
1043 <p·class="definition">Definition·at·line·<a·class="el"·href="read__write__vector_8h_source.html#l00312">312</a>·of·file·<a·class="el"·href="read__write__vector_8h_source.html">read_write_vector.h</a>.</p>1043 <p·class="definition">Definition·at·line·<a·class="el"·href="read__write__vector_8h_source.html#l00312">312</a>·of·file·<a·class="el"·href="read__write__vector_8h_source.html">read_write_vector.h</a>.</p>
  
1044 </div>1044 </div>
1045 </div>1045 </div>
1046 <a·id="ac87ebdc162e1024b127a32ea3ff219c5"·name="ac87ebdc162e1024b127a32ea3ff219c5"></a>1046 <a·id="ac87ebdc162e1024b127a32ea3ff219c5"·name="ac87ebdc162e1024b127a32ea3ff219c5"></a>
1047 <h2·class="memtitle"><span·class="permalink"><a·href="#ac87ebdc162e1024b127a32ea3ff219c5">&#9670;&#160;</a></span>import_elements()·<span·class="overload">[2/10]</span></h2>1047 <h2·class="memtitle"><span·class="permalink"><a·href="#ac87ebdc162e1024b127a32ea3ff219c5">&#9670;&#160;</a></span>import_elements()·<span·class="overload">[2/10]</span></h2>
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687 ··</td>687 ··</td>
688 ··<td·class="mlabels-right">688 ··<td·class="mlabels-right">
689 <span·class="mlabels"><span·class="mlabel">inline</span><span·class="mlabel">override</span><span·class="mlabel">virtual</span></span>··</td>689 <span·class="mlabels"><span·class="mlabel">inline</span><span·class="mlabel">override</span><span·class="mlabel">virtual</span></span>··</td>
690 ··</tr>690 ··</tr>
691 </table>691 </table>
692 </div><div·class="memdoc">692 </div><div·class="memdoc">
693 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000135">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1TpetraWrappers_1_1Vector.html#ae3f2e04cf6c3962136e40173f49663fc">import_elements()</a>·instead.·</dd></dl>693 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000138">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1TpetraWrappers_1_1Vector.html#ae3f2e04cf6c3962136e40173f49663fc">import_elements()</a>·instead.·</dd></dl>
  
694 <p>Implements·<a·class="el"·href="classLinearAlgebra_1_1VectorSpaceVector.html#a0c05d3725740bda0feab10c660582669">LinearAlgebra::VectorSpaceVector&lt;·Number·&gt;</a>.</p>694 <p>Implements·<a·class="el"·href="classLinearAlgebra_1_1VectorSpaceVector.html#a0c05d3725740bda0feab10c660582669">LinearAlgebra::VectorSpaceVector&lt;·Number·&gt;</a>.</p>
  
695 <p·class="definition">Definition·at·line·<a·class="el"·href="trilinos__tpetra__vector_8h_source.html#l00197">197</a>·of·file·<a·class="el"·href="trilinos__tpetra__vector_8h_source.html">trilinos_tpetra_vector.h</a>.</p>695 <p·class="definition">Definition·at·line·<a·class="el"·href="trilinos__tpetra__vector_8h_source.html#l00197">197</a>·of·file·<a·class="el"·href="trilinos__tpetra__vector_8h_source.html">trilinos_tpetra_vector.h</a>.</p>
  
696 </div>696 </div>
697 </div>697 </div>
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1334 ······</table>1334 ······</table>
1335 ··</td>1335 ··</td>
1336 ··<td·class="mlabels-right">1336 ··<td·class="mlabels-right">
1337 <span·class="mlabels"><span·class="mlabel">inline</span><span·class="mlabel">override</span><span·class="mlabel">virtual</span></span>··</td>1337 <span·class="mlabels"><span·class="mlabel">inline</span><span·class="mlabel">override</span><span·class="mlabel">virtual</span></span>··</td>
1338 ··</tr>1338 ··</tr>
1339 </table>1339 </table>
1340 </div><div·class="memdoc">1340 </div><div·class="memdoc">
1341 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000099">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1Vector.html#ab7ea24f90a0e516a5e8edb1420423452">import_elements()</a>·instead.·</dd></dl>1341 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000105">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1Vector.html#ab7ea24f90a0e516a5e8edb1420423452">import_elements()</a>·instead.·</dd></dl>
  
1342 <p>Implements·<a·class="el"·href="classLinearAlgebra_1_1VectorSpaceVector.html#a0c05d3725740bda0feab10c660582669">LinearAlgebra::VectorSpaceVector&lt;·Number·&gt;</a>.</p>1342 <p>Implements·<a·class="el"·href="classLinearAlgebra_1_1VectorSpaceVector.html#a0c05d3725740bda0feab10c660582669">LinearAlgebra::VectorSpaceVector&lt;·Number·&gt;</a>.</p>
  
1343 <p·class="definition">Definition·at·line·<a·class="el"·href="la__vector_8h_source.html#l00236">236</a>·of·file·<a·class="el"·href="la__vector_8h_source.html">la_vector.h</a>.</p>1343 <p·class="definition">Definition·at·line·<a·class="el"·href="la__vector_8h_source.html#l00236">236</a>·of·file·<a·class="el"·href="la__vector_8h_source.html">la_vector.h</a>.</p>
  
1344 </div>1344 </div>
1345 </div>1345 </div>
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1373 ··········<td·class="paramname"></td><td>)</td>1373 ··········<td·class="paramname"></td><td>)</td>
1374 ··········<td>·const</td>1374 ··········<td>·const</td>
1375 ········</tr>1375 ········</tr>
1376 ······</table>1376 ······</table>
1377 </div><div·class="memdoc">1377 </div><div·class="memdoc">
1378 <p>This·method·zeros·the·entries·on·ghost·dofs,·but·does·not·touch·locally·owned·DoFs.</p>1378 <p>This·method·zeros·the·entries·on·ghost·dofs,·but·does·not·touch·locally·owned·DoFs.</p>
1379 <p>After·calling·this·method,·read·access·to·ghost·elements·of·the·vector·is·forbidden·and·an·exception·is·thrown.·Only·write·access·to·ghost·elements·is·allowed·in·this·state.</p>1379 <p>After·calling·this·method,·read·access·to·ghost·elements·of·the·vector·is·forbidden·and·an·exception·is·thrown.·Only·write·access·to·ghost·elements·is·allowed·in·this·state.</p>
1380 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000100">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1distributed_1_1BlockVector.html#aa205bf18350c2095d459c75edfa622db">zero_out_ghost_values()</a>·instead.·</dd></dl>1380 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000099">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1distributed_1_1BlockVector.html#aa205bf18350c2095d459c75edfa622db">zero_out_ghost_values()</a>·instead.·</dd></dl>
  
1381 </div>1381 </div>
1382 </div>1382 </div>
1383 <a·id="aa205bf18350c2095d459c75edfa622db"·name="aa205bf18350c2095d459c75edfa622db"></a>1383 <a·id="aa205bf18350c2095d459c75edfa622db"·name="aa205bf18350c2095d459c75edfa622db"></a>
1384 <h2·class="memtitle"><span·class="permalink"><a·href="#aa205bf18350c2095d459c75edfa622db">&#9670;&#160;</a></span>zero_out_ghost_values()</h2>1384 <h2·class="memtitle"><span·class="permalink"><a·href="#aa205bf18350c2095d459c75edfa622db">&#9670;&#160;</a></span>zero_out_ghost_values()</h2>
  
1385 <div·class="memitem">1385 <div·class="memitem">
4.82 KB
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1444 ··········<td·class="paramname"></td><td>)</td>1444 ··········<td·class="paramname"></td><td>)</td>
1445 ··········<td>·const</td>1445 ··········<td>·const</td>
1446 ········</tr>1446 ········</tr>
1447 ······</table>1447 ······</table>
1448 </div><div·class="memdoc">1448 </div><div·class="memdoc">
1449 <p>This·method·zeros·the·entries·on·ghost·dofs,·but·does·not·touch·locally·owned·DoFs.</p>1449 <p>This·method·zeros·the·entries·on·ghost·dofs,·but·does·not·touch·locally·owned·DoFs.</p>
1450 <p>After·calling·this·method,·read·access·to·ghost·elements·of·the·vector·is·forbidden·and·an·exception·is·thrown.·Only·write·access·to·ghost·elements·is·allowed·in·this·state.</p>1450 <p>After·calling·this·method,·read·access·to·ghost·elements·of·the·vector·is·forbidden·and·an·exception·is·thrown.·Only·write·access·to·ghost·elements·is·allowed·in·this·state.</p>
1451 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000102">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1distributed_1_1Vector.html#a0242ed0c3e3664e6b4204d28a726a0b7">zero_out_ghost_values()</a>·instead.·</dd></dl>1451 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000101">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classLinearAlgebra_1_1distributed_1_1Vector.html#a0242ed0c3e3664e6b4204d28a726a0b7">zero_out_ghost_values()</a>·instead.·</dd></dl>
  
1452 </div>1452 </div>
1453 </div>1453 </div>
1454 <a·id="a0242ed0c3e3664e6b4204d28a726a0b7"·name="a0242ed0c3e3664e6b4204d28a726a0b7"></a>1454 <a·id="a0242ed0c3e3664e6b4204d28a726a0b7"·name="a0242ed0c3e3664e6b4204d28a726a0b7"></a>
1455 <h2·class="memtitle"><span·class="permalink"><a·href="#a0242ed0c3e3664e6b4204d28a726a0b7">&#9670;&#160;</a></span>zero_out_ghost_values()</h2>1455 <h2·class="memtitle"><span·class="permalink"><a·href="#a0242ed0c3e3664e6b4204d28a726a0b7">&#9670;&#160;</a></span>zero_out_ghost_values()</h2>
  
1456 <div·class="memitem">1456 <div·class="memitem">
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295 ·\sum_{q}295 ·\sum_{q}
296 ·\hat·u(\hat{\mathbf··x}_q)296 ·\hat·u(\hat{\mathbf··x}_q)
297 ·\underbrace{\left|\text{det}J(\hat{\mathbf··x}_q)\right|·w_q}_{=:297 ·\underbrace{\left|\text{det}J(\hat{\mathbf··x}_q)\right|·w_q}_{=:
298 \text{JxW}_q}.298 \text{JxW}_q}.
299 \]299 \]
300 </p>300 </p>
301 <p>·Here,·the·weights·\(\text{JxW}_q\)·of·each·quadrature·point·(where·<em>JxW</em>·mnemonically·stands·for·<em>Jacobian·times·<a·class="el"·href="classQuadrature.html">Quadrature</a>·Weights</em>)·take·the·role·of·the·\(dx\)·in·the·original·integral.·Consequently,·they·appear·in·all·code·that·computes·integrals·approximated·by·quadrature,·and·are·accessed·by·<a·class="el"·href="classFEValuesBase.html#aeb33b877f81e2143752dda2c14a0029d">FEValues::JxW()</a>.</p>301 <p>·Here,·the·weights·\(\text{JxW}_q\)·of·each·quadrature·point·(where·<em>JxW</em>·mnemonically·stands·for·<em>Jacobian·times·<a·class="el"·href="classQuadrature.html">Quadrature</a>·Weights</em>)·take·the·role·of·the·\(dx\)·in·the·original·integral.·Consequently,·they·appear·in·all·code·that·computes·integrals·approximated·by·quadrature,·and·are·accessed·by·<a·class="el"·href="classFEValuesBase.html#aeb33b877f81e2143752dda2c14a0029d">FEValues::JxW()</a>.</p>
302 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>Document·what·happens·in·the·codimension-1·case.</dd></dl>302 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000017">Todo:</a></b></dt><dd>Document·what·happens·in·the·codimension-1·case.</dd></dl>
303 <h4>Mapping·of·vector·fields,·differential·forms·and·gradients·of·vector·fields</h4>303 <h4>Mapping·of·vector·fields,·differential·forms·and·gradients·of·vector·fields</h4>
304 <p>The·transformation·of·vector·fields·or·differential·forms·(gradients·of·scalar·functions)·\(\mathbf·v\),·and·gradients·of·vector·fields·\(\mathbf·T\)·follows·the·general·form</p>304 <p>The·transformation·of·vector·fields·or·differential·forms·(gradients·of·scalar·functions)·\(\mathbf·v\),·and·gradients·of·vector·fields·\(\mathbf·T\)·follows·the·general·form</p>
305 <p·class="formulaDsp">305 <p·class="formulaDsp">
306 \[306 \[
307 \mathbf·v(\mathbf·x)·=·\mathbf·A(\hat{\mathbf··x})307 \mathbf·v(\mathbf·x)·=·\mathbf·A(\hat{\mathbf··x})
308 \hat{\mathbf··v}(\hat{\mathbf··x}),308 \hat{\mathbf··v}(\hat{\mathbf··x}),
309 \qquad309 \qquad
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1162 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}1162 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
1163 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})1163 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
1164 J(\hat{\mathbf··x})^{-1}.1164 J(\hat{\mathbf··x})^{-1}.
1165 \]1165 \]
1166 </p>1166 </p>
1167 ·</li>1167 ·</li>
1168 </ul>1168 </ul>
1169 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>1169 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
1170 <dl·class="params"><dt>Parameters</dt><dd>1170 <dl·class="params"><dt>Parameters</dt><dd>
1171 ··<table·class="params">1171 ··<table·class="params">
1172 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>1172 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
1173 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>1173 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
1174 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>1174 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
1175 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>1175 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
1176 ··</table>1176 ··</table>
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810 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}810 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
811 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})811 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
812 J(\hat{\mathbf··x})^{-1}.812 J(\hat{\mathbf··x})^{-1}.
813 \]813 \]
814 </p>814 </p>
815 ·</li>815 ·</li>
816 </ul>816 </ul>
817 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>817 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
818 <dl·class="params"><dt>Parameters</dt><dd>818 <dl·class="params"><dt>Parameters</dt><dd>
819 ··<table·class="params">819 ··<table·class="params">
820 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>820 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
821 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>821 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
822 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingCartesian.html#afa8128571ede910b4dc27d0ee00cf384">get_data()</a>,·<a·class="el"·href="classMappingCartesian.html#a2e7c350976357adcdda6b622dfeeea75">get_face_data()</a>,·or·<a·class="el"·href="classMappingCartesian.html#a43146477038d5fab2469c01e5001092b">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingCartesian.html#a7c94f22344900afef287806ca24924e1">fill_fe_values()</a>,·<a·class="el"·href="classMappingCartesian.html#a13f640c37d5138ec35911c398be6478d">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingCartesian.html#afe29b9ec9d8ad367c2b96d80cbdb854d">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>822 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingCartesian.html#afa8128571ede910b4dc27d0ee00cf384">get_data()</a>,·<a·class="el"·href="classMappingCartesian.html#a2e7c350976357adcdda6b622dfeeea75">get_face_data()</a>,·or·<a·class="el"·href="classMappingCartesian.html#a43146477038d5fab2469c01e5001092b">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingCartesian.html#a7c94f22344900afef287806ca24924e1">fill_fe_values()</a>,·<a·class="el"·href="classMappingCartesian.html#a13f640c37d5138ec35911c398be6478d">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingCartesian.html#afe29b9ec9d8ad367c2b96d80cbdb854d">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
823 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>823 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
824 ··</table>824 ··</table>
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Offset 899, 15 lines modifiedOffset 899, 15 lines modified
899 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}899 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
900 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})900 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
901 J(\hat{\mathbf··x})^{-1}.901 J(\hat{\mathbf··x})^{-1}.
902 \]902 \]
903 </p>903 </p>
904 ·</li>904 ·</li>
905 </ul>905 </ul>
906 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>906 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
907 <dl·class="params"><dt>Parameters</dt><dd>907 <dl·class="params"><dt>Parameters</dt><dd>
908 ··<table·class="params">908 ··<table·class="params">
909 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>909 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
910 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>910 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
911 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingFE.html#a6dbe4effa0d042a74bd10c2531001000">get_data()</a>,·<a·class="el"·href="classMappingFE.html#a194be68c6a768ee607c8fcbd972acdba">get_face_data()</a>,·or·<a·class="el"·href="classMappingFE.html#a8cef4f3e024bb1f0a68fb330f6656cf0">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingFE.html#a037a579a2bf2c280bf92deff6175484b">fill_fe_values()</a>,·<a·class="el"·href="classMappingFE.html#a4a5b64e15d99854eead25f92b8a1cf4e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingFE.html#aa6abacffbe6a35d7606fea80aaf1918a">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>911 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingFE.html#a6dbe4effa0d042a74bd10c2531001000">get_data()</a>,·<a·class="el"·href="classMappingFE.html#a194be68c6a768ee607c8fcbd972acdba">get_face_data()</a>,·or·<a·class="el"·href="classMappingFE.html#a8cef4f3e024bb1f0a68fb330f6656cf0">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingFE.html#a037a579a2bf2c280bf92deff6175484b">fill_fe_values()</a>,·<a·class="el"·href="classMappingFE.html#a4a5b64e15d99854eead25f92b8a1cf4e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingFE.html#aa6abacffbe6a35d7606fea80aaf1918a">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
912 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>912 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
913 ··</table>913 ··</table>
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1012 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}1012 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
1013 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})1013 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
1014 J(\hat{\mathbf··x})^{-1}.1014 J(\hat{\mathbf··x})^{-1}.
1015 \]1015 \]
1016 </p>1016 </p>
1017 ·</li>1017 ·</li>
1018 </ul>1018 </ul>
1019 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>1019 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
1020 <dl·class="params"><dt>Parameters</dt><dd>1020 <dl·class="params"><dt>Parameters</dt><dd>
1021 ··<table·class="params">1021 ··<table·class="params">
1022 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>1022 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
1023 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>1023 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
1024 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingFEField.html#a733e1da5d809f0b1ae04dddf925fc119">get_data()</a>,·<a·class="el"·href="classMappingFEField.html#a4e5865ca2088131e2362fbb3bc1192b0">get_face_data()</a>,·or·<a·class="el"·href="classMappingFEField.html#a0d5819b47ed0440e9490719f32630f3f">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingFEField.html#a7e9bac346ae5c5a75a90db89a440779c">fill_fe_values()</a>,·<a·class="el"·href="classMappingFEField.html#ae4126a5f6efb9dbb5f26b2713a15936c">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingFEField.html#afb269cc5495e60edccebf5938156fd2b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>1024 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingFEField.html#a733e1da5d809f0b1ae04dddf925fc119">get_data()</a>,·<a·class="el"·href="classMappingFEField.html#a4e5865ca2088131e2362fbb3bc1192b0">get_face_data()</a>,·or·<a·class="el"·href="classMappingFEField.html#a0d5819b47ed0440e9490719f32630f3f">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingFEField.html#a7e9bac346ae5c5a75a90db89a440779c">fill_fe_values()</a>,·<a·class="el"·href="classMappingFEField.html#ae4126a5f6efb9dbb5f26b2713a15936c">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingFEField.html#afb269cc5495e60edccebf5938156fd2b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
1025 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>1025 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
1026 ··</table>1026 ··</table>
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814 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}814 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
815 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})815 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
816 J(\hat{\mathbf··x})^{-1}.816 J(\hat{\mathbf··x})^{-1}.
817 \]817 \]
818 </p>818 </p>
819 ·</li>819 ·</li>
820 </ul>820 </ul>
821 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>821 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
822 <dl·class="params"><dt>Parameters</dt><dd>822 <dl·class="params"><dt>Parameters</dt><dd>
823 ··<table·class="params">823 ··<table·class="params">
824 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>824 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
825 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>825 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
826 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingManifold.html#ab41ec1aa795379b6831971f6a1eaa711">get_data()</a>,·<a·class="el"·href="classMappingManifold.html#ab9182174944f7d13f86d0a27dc37a3fc">get_face_data()</a>,·or·<a·class="el"·href="classMappingManifold.html#af6dcd94f41c1b4fe96d9779744e33268">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingManifold.html#af7c81a2033a13bb15b6907169fc806c0">fill_fe_values()</a>,·<a·class="el"·href="classMappingManifold.html#a66ba9941d1754ba2c9daf2d486fb0db3">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingManifold.html#a4ccfa0a5d8f88d7667dc6cda2ab05997">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>826 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingManifold.html#ab41ec1aa795379b6831971f6a1eaa711">get_data()</a>,·<a·class="el"·href="classMappingManifold.html#ab9182174944f7d13f86d0a27dc37a3fc">get_face_data()</a>,·or·<a·class="el"·href="classMappingManifold.html#af6dcd94f41c1b4fe96d9779744e33268">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingManifold.html#af7c81a2033a13bb15b6907169fc806c0">fill_fe_values()</a>,·<a·class="el"·href="classMappingManifold.html#a66ba9941d1754ba2c9daf2d486fb0db3">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingManifold.html#a4ccfa0a5d8f88d7667dc6cda2ab05997">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
827 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>827 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
828 ··</table>828 ··</table>
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1020 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}1020 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
1021 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})1021 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
1022 J(\hat{\mathbf··x})^{-1}.1022 J(\hat{\mathbf··x})^{-1}.
1023 \]1023 \]
1024 </p>1024 </p>
1025 ·</li>1025 ·</li>
1026 </ul>1026 </ul>
1027 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>1027 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
1028 <dl·class="params"><dt>Parameters</dt><dd>1028 <dl·class="params"><dt>Parameters</dt><dd>
1029 ··<table·class="params">1029 ··<table·class="params">
1030 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>1030 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
1031 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>1031 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
1032 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>1032 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
1033 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>1033 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
1034 ··</table>1034 ··</table>
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951 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}951 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
952 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})952 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
953 J(\hat{\mathbf··x})^{-1}.953 J(\hat{\mathbf··x})^{-1}.
954 \]954 \]
955 </p>955 </p>
956 ·</li>956 ·</li>
957 </ul>957 </ul>
958 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>958 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
959 <dl·class="params"><dt>Parameters</dt><dd>959 <dl·class="params"><dt>Parameters</dt><dd>
960 ··<table·class="params">960 ··<table·class="params">
961 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>961 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
962 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>962 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
963 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>963 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
964 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>964 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
965 ··</table>965 ··</table>
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1114 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}1114 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
1115 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})1115 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
1116 J(\hat{\mathbf··x})^{-1}.1116 J(\hat{\mathbf··x})^{-1}.
1117 \]1117 \]
1118 </p>1118 </p>
1119 ·</li>1119 ·</li>
1120 </ul>1120 </ul>
1121 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>1121 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
1122 <dl·class="params"><dt>Parameters</dt><dd>1122 <dl·class="params"><dt>Parameters</dt><dd>
1123 ··<table·class="params">1123 ··<table·class="params">
1124 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>1124 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
1125 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>1125 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
1126 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ1Eulerian.html#ad8a5b7a83ed0166250d477518f55d5b5">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>1126 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ1Eulerian.html#ad8a5b7a83ed0166250d477518f55d5b5">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
1127 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>1127 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
1128 ··</table>1128 ··</table>
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1420 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}1420 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
1421 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})1421 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
1422 J(\hat{\mathbf··x})^{-1}.1422 J(\hat{\mathbf··x})^{-1}.
1423 \]1423 \]
1424 </p>1424 </p>
1425 ·</li>1425 ·</li>
1426 </ul>1426 </ul>
1427 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>1427 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
1428 <dl·class="params"><dt>Parameters</dt><dd>1428 <dl·class="params"><dt>Parameters</dt><dd>
1429 ··<table·class="params">1429 ··<table·class="params">
1430 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>1430 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
1431 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>1431 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
1432 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>1432 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQ.html#a80c28ad911ada620b00f6f17c823ae38">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
1433 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>1433 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
1434 ··</table>1434 ··</table>
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1144 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}1144 \frac{1}{\text{det}\;J(\hat{\mathbf·x})}
1145 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})1145 J(\hat{\mathbf··x})·\hat{\mathbf··T}(\hat{\mathbf··x})
1146 J(\hat{\mathbf··x})^{-1}.1146 J(\hat{\mathbf··x})^{-1}.
1147 \]1147 \]
1148 </p>1148 </p>
1149 ·</li>1149 ·</li>
1150 </ul>1150 </ul>
1151 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000019">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>1151 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000018">Todo:</a></b></dt><dd>The·formulas·for·mapping_covariant_gradient,·mapping_contravariant_gradient·and·mapping_piola_gradient·are·only·true·as·stated·for·linear·mappings.·If,·for·example,·the·mapping·is·bilinear·(or·has·a·higher·order·polynomial·degree)·then·there·is·a·missing·term·associated·with·the·derivative·of·\(J\).</dd></dl>
1152 <dl·class="params"><dt>Parameters</dt><dd>1152 <dl·class="params"><dt>Parameters</dt><dd>
1153 ··<table·class="params">1153 ··<table·class="params">
1154 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>1154 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">input</td><td>An·array·(or·part·of·an·array)·of·input·objects·that·should·be·mapped.·</td></tr>
1155 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>1155 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">kind</td><td>The·kind·of·mapping·to·be·applied.·</td></tr>
1156 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQEulerian.html#a144001ee2a1e1f0933e6a4d748830688">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>1156 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">internal</td><td>A·pointer·to·an·object·of·type·<a·class="el"·href="classMapping_1_1InternalDataBase.html">Mapping::InternalDataBase</a>·that·contains·information·previously·stored·by·the·mapping.·The·object·pointed·to·was·created·by·the·<a·class="el"·href="classMappingQ.html#a2a91247a05bb8b0830dac3feead8c857">get_data()</a>,·<a·class="el"·href="classMappingQ.html#a97d541cb896cd92874e299d0e30a71e1">get_face_data()</a>,·or·<a·class="el"·href="classMappingQ.html#a4df30dc89b42435d39d5547cc6f398cb">get_subface_data()</a>·function,·and·will·have·been·updated·as·part·of·a·call·to·<a·class="el"·href="classMappingQEulerian.html#a144001ee2a1e1f0933e6a4d748830688">fill_fe_values()</a>,·<a·class="el"·href="classMappingQ.html#af4629cea9642d14655abbba2e6a5113e">fill_fe_face_values()</a>,·or·<a·class="el"·href="classMappingQ.html#a55d26263547a910cae5c31026a4d1a3b">fill_fe_subface_values()</a>·for·the·current·cell,·before·calling·the·current·function.·In·other·words,·this·object·also·represents·with·respect·to·which·cell·the·transformation·should·be·applied·to.·</td></tr>
1157 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>1157 ····<tr><td·class="paramdir">[out]</td><td·class="paramname">output</td><td>An·array·(or·part·of·an·array)·into·which·the·transformed·objects·should·be·placed.·(Note·that·the·array·view·is·<code>const</code>,·but·the·tensors·it·points·to·are·not.)·</td></tr>
1158 ··</table>1158 ··</table>
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1445 ··<td·class="mlabels-right">1445 ··<td·class="mlabels-right">
1446 <span·class="mlabels"><span·class="mlabel">inherited</span></span>··</td>1446 <span·class="mlabels"><span·class="mlabel">inherited</span></span>··</td>
1447 ··</tr>1447 ··</tr>
1448 </table>1448 </table>
1449 </div><div·class="memdoc">1449 </div><div·class="memdoc">
1450 <p>Return·the·local·dimension·of·the·vector,·i.e.·the·number·of·elements·stored·on·the·present·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·process.·For·sequential·vectors,·this·number·is·the·same·as·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a3875621a4c149265ca738d48614f053c">size()</a>,·but·for·parallel·vectors·it·may·be·smaller.</p>1450 <p>Return·the·local·dimension·of·the·vector,·i.e.·the·number·of·elements·stored·on·the·present·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·process.·For·sequential·vectors,·this·number·is·the·same·as·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a3875621a4c149265ca738d48614f053c">size()</a>,·but·for·parallel·vectors·it·may·be·smaller.</p>
1451 <p>To·figure·out·which·elements·exactly·are·stored·locally,·use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a59f8ac50f0d9950973f2a9ba11fdb31d">local_range()</a>·or·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a409d3a360896b211e459b9a44ec9b77a">locally_owned_elements()</a>.</p>1451 <p>To·figure·out·which·elements·exactly·are·stored·locally,·use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a59f8ac50f0d9950973f2a9ba11fdb31d">local_range()</a>·or·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a409d3a360896b211e459b9a44ec9b77a">locally_owned_elements()</a>.</p>
1452 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000116">Deprecated:</a></b></dt><dd>use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#acff4e7a74af91a2ab885cf10d0feb961">locally_owned_size()</a>·instead.·</dd></dl>1452 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000120">Deprecated:</a></b></dt><dd>use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#acff4e7a74af91a2ab885cf10d0feb961">locally_owned_size()</a>·instead.·</dd></dl>
  
1453 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__vector__base_8cc_source.html#l00452">452</a>·of·file·<a·class="el"·href="petsc__vector__base_8cc_source.html">petsc_vector_base.cc</a>.</p>1453 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__vector__base_8cc_source.html#l00452">452</a>·of·file·<a·class="el"·href="petsc__vector__base_8cc_source.html">petsc_vector_base.cc</a>.</p>
  
1454 </div>1454 </div>
1455 </div>1455 </div>
1456 <a·id="acff4e7a74af91a2ab885cf10d0feb961"·name="acff4e7a74af91a2ab885cf10d0feb961"></a>1456 <a·id="acff4e7a74af91a2ab885cf10d0feb961"·name="acff4e7a74af91a2ab885cf10d0feb961"></a>
1457 <h2·class="memtitle"><span·class="permalink"><a·href="#acff4e7a74af91a2ab885cf10d0feb961">&#9670;&#160;</a></span>locally_owned_size()</h2>1457 <h2·class="memtitle"><span·class="permalink"><a·href="#acff4e7a74af91a2ab885cf10d0feb961">&#9670;&#160;</a></span>locally_owned_size()</h2>
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231 ··········<td>)</td>231 ··········<td>)</td>
232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000123">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000109">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00369">369</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00369">369</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a462c9fc09e84dc40e64b0c44f4bc22c1"·name="a462c9fc09e84dc40e64b0c44f4bc22c1"></a>242 <a·id="a462c9fc09e84dc40e64b0c44f4bc22c1"·name="a462c9fc09e84dc40e64b0c44f4bc22c1"></a>
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233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000125">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000111">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00440">440</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00440">440</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a8e3b0b24309b6477b5a68f99292221eb"·name="a8e3b0b24309b6477b5a68f99292221eb"></a>242 <a·id="a8e3b0b24309b6477b5a68f99292221eb"·name="a8e3b0b24309b6477b5a68f99292221eb"></a>
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233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000122">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000108">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00342">342</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00342">342</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="ad121c05be905cfef7aa562fac1af0cfd"·name="ad121c05be905cfef7aa562fac1af0cfd"></a>242 <a·id="ad121c05be905cfef7aa562fac1af0cfd"·name="ad121c05be905cfef7aa562fac1af0cfd"></a>
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233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000126">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000112">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00467">467</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00467">467</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a868cb10d96fc427b89679b9a4c369558"·name="a868cb10d96fc427b89679b9a4c369558"></a>242 <a·id="a868cb10d96fc427b89679b9a4c369558"·name="a868cb10d96fc427b89679b9a4c369558"></a>
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233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
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236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000129">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000115">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00548">548</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00548">548</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a24dbd85ed98ac21a0391c54663cf9deb"·name="a24dbd85ed98ac21a0391c54663cf9deb"></a>242 <a·id="a24dbd85ed98ac21a0391c54663cf9deb"·name="a24dbd85ed98ac21a0391c54663cf9deb"></a>
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232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
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236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000121">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000107">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00315">315</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00315">315</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a1db7856395fc62644b0564fb6c86e212"·name="a1db7856395fc62644b0564fb6c86e212"></a>242 <a·id="a1db7856395fc62644b0564fb6c86e212"·name="a1db7856395fc62644b0564fb6c86e212"></a>
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232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000124">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000110">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00405">405</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00405">405</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="abf64e01b6a4c50a5702ab31911aa2e7b"·name="abf64e01b6a4c50a5702ab31911aa2e7b"></a>242 <a·id="abf64e01b6a4c50a5702ab31911aa2e7b"·name="abf64e01b6a4c50a5702ab31911aa2e7b"></a>
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232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000130">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000116">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00576">576</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00576">576</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a14a9909be0b71d5047cd9569136a915e"·name="a14a9909be0b71d5047cd9569136a915e"></a>242 <a·id="a14a9909be0b71d5047cd9569136a915e"·name="a14a9909be0b71d5047cd9569136a915e"></a>
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231 ··········<td>)</td>231 ··········<td>)</td>
232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000131">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000117">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00611">611</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00611">611</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="acb09d6c22c20e52b65ec87caae8cbace"·name="acb09d6c22c20e52b65ec87caae8cbace"></a>242 <a·id="acb09d6c22c20e52b65ec87caae8cbace"·name="acb09d6c22c20e52b65ec87caae8cbace"></a>
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231 ··········<td>)</td>231 ··········<td>)</td>
232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000120">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000106">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00265">265</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00265">265</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a81d743e8bb544846339b1757711d4add"·name="a81d743e8bb544846339b1757711d4add"></a>242 <a·id="a81d743e8bb544846339b1757711d4add"·name="a81d743e8bb544846339b1757711d4add"></a>
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230 ··········<td></td>230 ··········<td></td>
231 ··········<td>)</td>231 ··········<td>)</td>
232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000128">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000114">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00521">521</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00521">521</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a897b6471eb71a5e758723de0d2e9f07b"·name="a897b6471eb71a5e758723de0d2e9f07b"></a>242 <a·id="a897b6471eb71a5e758723de0d2e9f07b"·name="a897b6471eb71a5e758723de0d2e9f07b"></a>
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230 ··········<td></td>230 ··········<td></td>
231 ··········<td>)</td>231 ··········<td>)</td>
232 ··········<td></td><td></td>232 ··········<td></td><td></td>
233 ········</tr>233 ········</tr>
234 ······</table>234 ······</table>
235 </div><div·class="memdoc">235 </div><div·class="memdoc">
236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>236 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000127">Deprecated:</a></b></dt><dd></dd></dl>237 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000113">Deprecated:</a></b></dt><dd></dd></dl>
  
238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00494">494</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>238 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00494">494</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
239 </div>239 </div>
240 </div>240 </div>
241 <h2·class="groupheader">Member·Function·Documentation</h2>241 <h2·class="groupheader">Member·Function·Documentation</h2>
242 <a·id="a46f7615be6a43c00dc69df74061d3e5f"·name="a46f7615be6a43c00dc69df74061d3e5f"></a>242 <a·id="a46f7615be6a43c00dc69df74061d3e5f"·name="a46f7615be6a43c00dc69df74061d3e5f"></a>
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242 ··········<td></td>242 ··········<td></td>
243 ··········<td>)</td>243 ··········<td>)</td>
244 ··········<td></td><td></td>244 ··········<td></td><td></td>
245 ········</tr>245 ········</tr>
246 ······</table>246 ······</table>
247 </div><div·class="memdoc">247 </div><div·class="memdoc">
248 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>248 <p>Constructor.·This·constructor·is·deprecated·and·ignores·the·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·communicator·argument.·Use·the·other·constructor·instead.</p>
249 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000132">Deprecated:</a></b></dt><dd></dd></dl>249 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000118">Deprecated:</a></b></dt><dd></dd></dl>
  
250 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00651">651</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>250 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__solver_8cc_source.html#l00651">651</a>·of·file·<a·class="el"·href="petsc__solver_8cc_source.html">petsc_solver.cc</a>.</p>
  
251 </div>251 </div>
252 </div>252 </div>
253 <h2·class="groupheader">Member·Function·Documentation</h2>253 <h2·class="groupheader">Member·Function·Documentation</h2>
254 <a·id="a08d73453888955bd5a9863be32f3b347"·name="a08d73453888955bd5a9863be32f3b347"></a>254 <a·id="a08d73453888955bd5a9863be32f3b347"·name="a08d73453888955bd5a9863be32f3b347"></a>
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767 ··········<td·class="paramname"></td><td>)</td>767 ··········<td·class="paramname"></td><td>)</td>
768 ··········<td>·const</td>768 ··········<td>·const</td>
769 ········</tr>769 ········</tr>
770 ······</table>770 ······</table>
771 </div><div·class="memdoc">771 </div><div·class="memdoc">
772 <p>Return·the·local·dimension·of·the·vector,·i.e.·the·number·of·elements·stored·on·the·present·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·process.·For·sequential·vectors,·this·number·is·the·same·as·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a3875621a4c149265ca738d48614f053c">size()</a>,·but·for·parallel·vectors·it·may·be·smaller.</p>772 <p>Return·the·local·dimension·of·the·vector,·i.e.·the·number·of·elements·stored·on·the·present·<a·class="el"·href="namespacePETScWrappers_1_1MPI.html">MPI</a>·process.·For·sequential·vectors,·this·number·is·the·same·as·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a3875621a4c149265ca738d48614f053c">size()</a>,·but·for·parallel·vectors·it·may·be·smaller.</p>
773 <p>To·figure·out·which·elements·exactly·are·stored·locally,·use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a59f8ac50f0d9950973f2a9ba11fdb31d">local_range()</a>·or·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a409d3a360896b211e459b9a44ec9b77a">locally_owned_elements()</a>.</p>773 <p>To·figure·out·which·elements·exactly·are·stored·locally,·use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a59f8ac50f0d9950973f2a9ba11fdb31d">local_range()</a>·or·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#a409d3a360896b211e459b9a44ec9b77a">locally_owned_elements()</a>.</p>
774 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000116">Deprecated:</a></b></dt><dd>use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#acff4e7a74af91a2ab885cf10d0feb961">locally_owned_size()</a>·instead.·</dd></dl>774 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000120">Deprecated:</a></b></dt><dd>use·<a·class="el"·href="classPETScWrappers_1_1VectorBase.html#acff4e7a74af91a2ab885cf10d0feb961">locally_owned_size()</a>·instead.·</dd></dl>
  
775 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__vector__base_8cc_source.html#l00452">452</a>·of·file·<a·class="el"·href="petsc__vector__base_8cc_source.html">petsc_vector_base.cc</a>.</p>775 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__vector__base_8cc_source.html#l00452">452</a>·of·file·<a·class="el"·href="petsc__vector__base_8cc_source.html">petsc_vector_base.cc</a>.</p>
  
776 </div>776 </div>
777 </div>777 </div>
778 <a·id="acff4e7a74af91a2ab885cf10d0feb961"·name="acff4e7a74af91a2ab885cf10d0feb961"></a>778 <a·id="acff4e7a74af91a2ab885cf10d0feb961"·name="acff4e7a74af91a2ab885cf10d0feb961"></a>
779 <h2·class="memtitle"><span·class="permalink"><a·href="#acff4e7a74af91a2ab885cf10d0feb961">&#9670;&#160;</a></span>locally_owned_size()</h2>779 <h2·class="memtitle"><span·class="permalink"><a·href="#acff4e7a74af91a2ab885cf10d0feb961">&#9670;&#160;</a></span>locally_owned_size()</h2>
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1968 ··········<td·class="paramname"></td><td>)</td>1968 ··········<td·class="paramname"></td><td>)</td>
1969 ··········<td></td>1969 ··········<td></td>
1970 ········</tr>1970 ········</tr>
1971 ······</table>1971 ······</table>
1972 </div><div·class="memdoc">1972 </div><div·class="memdoc">
1973 <p>Callback·function·that·should·be·called·before·every·refinement·and·when·writing·checkpoints.·This·function·is·used·to·register·<a·class="el"·href="classParticles_1_1ParticleHandler.html#af7479ad00d2d94dcc302a45157dcc330">pack_callback()</a>·with·the·triangulation.·This·function·is·used·in·<a·class="el"·href="step_70.html">step-70</a>.</p>1973 <p>Callback·function·that·should·be·called·before·every·refinement·and·when·writing·checkpoints.·This·function·is·used·to·register·<a·class="el"·href="classParticles_1_1ParticleHandler.html#af7479ad00d2d94dcc302a45157dcc330">pack_callback()</a>·with·the·triangulation.·This·function·is·used·in·<a·class="el"·href="step_70.html">step-70</a>.</p>
1974 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000156">Deprecated:</a></b></dt><dd>Please·use·<a·class="el"·href="classParticles_1_1ParticleHandler.html#a57f132c97c49f31a3b4392a80e58f808">prepare_for_coarsening_and_refinement()</a>·or·<a·class="el"·href="classParticles_1_1ParticleHandler.html#a296b16801f3d611bcf646ea76421b59a">prepare_for_serialization()</a>·instead.·See·there·for·further·information·about·the·purpose·of·this·function.·</dd></dl>1974 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000154">Deprecated:</a></b></dt><dd>Please·use·<a·class="el"·href="classParticles_1_1ParticleHandler.html#a57f132c97c49f31a3b4392a80e58f808">prepare_for_coarsening_and_refinement()</a>·or·<a·class="el"·href="classParticles_1_1ParticleHandler.html#a296b16801f3d611bcf646ea76421b59a">prepare_for_serialization()</a>·instead.·See·there·for·further·information·about·the·purpose·of·this·function.·</dd></dl>
  
1975 <p·class="definition">Definition·at·line·<a·class="el"·href="particle__handler_8cc_source.html#l02171">2171</a>·of·file·<a·class="el"·href="particle__handler_8cc_source.html">particle_handler.cc</a>.</p>1975 <p·class="definition">Definition·at·line·<a·class="el"·href="particle__handler_8cc_source.html#l02171">2171</a>·of·file·<a·class="el"·href="particle__handler_8cc_source.html">particle_handler.cc</a>.</p>
  
1976 </div>1976 </div>
1977 </div>1977 </div>
1978 <a·id="a9a79889c1ad3b569a405488d4bab8263"·name="a9a79889c1ad3b569a405488d4bab8263"></a>1978 <a·id="a9a79889c1ad3b569a405488d4bab8263"·name="a9a79889c1ad3b569a405488d4bab8263"></a>
1979 <h2·class="memtitle"><span·class="permalink"><a·href="#a9a79889c1ad3b569a405488d4bab8263">&#9670;&#160;</a></span>register_load_callback_function()</h2>1979 <h2·class="memtitle"><span·class="permalink"><a·href="#a9a79889c1ad3b569a405488d4bab8263">&#9670;&#160;</a></span>register_load_callback_function()</h2>
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Offset 1494, 15 lines modifiedOffset 1494, 15 lines modified
1494 ··<td·class="mlabels-right">1494 ··<td·class="mlabels-right">
1495 <span·class="mlabels"><span·class="mlabel">inherited</span></span>··</td>1495 <span·class="mlabels"><span·class="mlabel">inherited</span></span>··</td>
1496 ··</tr>1496 ··</tr>
1497 </table>1497 </table>
1498 </div><div·class="memdoc">1498 </div><div·class="memdoc">
1499 <p>Fill·a·vector·with·all·tensor·elements.</p>1499 <p>Fill·a·vector·with·all·tensor·elements.</p>
1500 <p>This·function·unrolls·all·tensor·entries·into·a·single,·linearly·numbered·vector.·As·usual·in·C++,·the·rightmost·index·of·the·tensor·marches·fastest.</p>1500 <p>This·function·unrolls·all·tensor·entries·into·a·single,·linearly·numbered·vector.·As·usual·in·C++,·the·rightmost·index·of·the·tensor·marches·fastest.</p>
1501 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000030">Deprecated:</a></b></dt><dd>Use·the·more·general·function·that·takes·a·pair·of·iterators·instead.·</dd></dl>1501 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000037">Deprecated:</a></b></dt><dd>Use·the·more·general·function·that·takes·a·pair·of·iterators·instead.·</dd></dl>
  
1502 </div>1502 </div>
1503 </div>1503 </div>
1504 <a·id="a5227508480598cc2adf237d1327b779a"·name="a5227508480598cc2adf237d1327b779a"></a>1504 <a·id="a5227508480598cc2adf237d1327b779a"·name="a5227508480598cc2adf237d1327b779a"></a>
1505 <h2·class="memtitle"><span·class="permalink"><a·href="#a5227508480598cc2adf237d1327b779a">&#9670;&#160;</a></span>unroll()·<span·class="overload">[2/2]</span></h2>1505 <h2·class="memtitle"><span·class="permalink"><a·href="#a5227508480598cc2adf237d1327b779a">&#9670;&#160;</a></span>unroll()·<span·class="overload">[2/2]</span></h2>
  
1506 <div·class="memitem">1506 <div·class="memitem">
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1732 ··<td·class="mlabels-right">1732 ··<td·class="mlabels-right">
1733 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>1733 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>
1734 ··</tr>1734 ··</tr>
1735 </table>1735 </table>
1736 </div><div·class="memdoc">1736 </div><div·class="memdoc">
1737 <p>Determine·the·orientation·of·the·current·entity·described·by·its·vertices·<code>vertices_1</code>·relative·to·an·entity·described·by·<code>vertices_0</code>.·The·two·arrays·given·as·arguments·can·be·arrays·of·global·vertex·indices·or·local·vertex·indices,·arrays·of·vertex·locations,·or·arrays·of·any·other·objects·identifying·the·vertices·and·the·order·in·which·they·are·encountered·in·a·cell.</p>1737 <p>Determine·the·orientation·of·the·current·entity·described·by·its·vertices·<code>vertices_1</code>·relative·to·an·entity·described·by·<code>vertices_0</code>.·The·two·arrays·given·as·arguments·can·be·arrays·of·global·vertex·indices·or·local·vertex·indices,·arrays·of·vertex·locations,·or·arrays·of·any·other·objects·identifying·the·vertices·and·the·order·in·which·they·are·encountered·in·a·cell.</p>
1738 <p>The·size·of·the·arrays,·i.e.,·the·template·argument·<code>N</code>,·must·be·equal·to·or·larger·than·the·number·of·vertices·of·the·current·entity.·If·it·is·larger,·only·those·elements·of·the·input·and·output·arrays·are·read·from·or·written·to·that·correspond·to·valid·vertex·indices.</p>1738 <p>The·size·of·the·arrays,·i.e.,·the·template·argument·<code>N</code>,·must·be·equal·to·or·larger·than·the·number·of·vertices·of·the·current·entity.·If·it·is·larger,·only·those·elements·of·the·input·and·output·arrays·are·read·from·or·written·to·that·correspond·to·valid·vertex·indices.</p>
1739 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000089">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classReferenceCell.html#ae1ae88c2c1c91f4229e8de9f503fca4e">get_combined_orientation()</a>·instead.·</dd></dl>1739 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000090">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classReferenceCell.html#ae1ae88c2c1c91f4229e8de9f503fca4e">get_combined_orientation()</a>·instead.·</dd></dl>
  
1740 <p·class="definition">Definition·at·line·<a·class="el"·href="reference__cell_8h_source.html#l02894">2894</a>·of·file·<a·class="el"·href="reference__cell_8h_source.html">reference_cell.h</a>.</p>1740 <p·class="definition">Definition·at·line·<a·class="el"·href="reference__cell_8h_source.html#l02894">2894</a>·of·file·<a·class="el"·href="reference__cell_8h_source.html">reference_cell.h</a>.</p>
  
1741 </div>1741 </div>
1742 </div>1742 </div>
1743 <a·id="ae1ae88c2c1c91f4229e8de9f503fca4e"·name="ae1ae88c2c1c91f4229e8de9f503fca4e"></a>1743 <a·id="ae1ae88c2c1c91f4229e8de9f503fca4e"·name="ae1ae88c2c1c91f4229e8de9f503fca4e"></a>
1744 <h2·class="memtitle"><span·class="permalink"><a·href="#ae1ae88c2c1c91f4229e8de9f503fca4e">&#9670;&#160;</a></span>get_combined_orientation()</h2>1744 <h2·class="memtitle"><span·class="permalink"><a·href="#ae1ae88c2c1c91f4229e8de9f503fca4e">&#9670;&#160;</a></span>get_combined_orientation()</h2>
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Offset 636, 15 lines modifiedOffset 636, 15 lines modified
636 \[636 \[
637 ··J=\dfrac{\partial·G}{\partial·y}·=·\dfrac{\partial·F}{\partial·y}·+637 ··J=\dfrac{\partial·G}{\partial·y}·=·\dfrac{\partial·F}{\partial·y}·+
638 ·\alpha·\dfrac{\partial·F}{\partial·\dot·y}.638 ·\alpha·\dfrac{\partial·F}{\partial·\dot·y}.
639 \]639 \]
640 </p>640 </p>
641 <p>A·call·to·this·function·should·store·in·<code>dst</code>·the·result·of·\(J^{-1}\)·applied·to·<code>src</code>,·i.e.,·<code>J*dst·=·src</code>.·It·is·the·users·responsibility·to·set·up·proper·solvers·and·preconditioners·inside·this·function.</p>641 <p>A·call·to·this·function·should·store·in·<code>dst</code>·the·result·of·\(J^{-1}\)·applied·to·<code>src</code>,·i.e.,·<code>J*dst·=·src</code>.·It·is·the·users·responsibility·to·set·up·proper·solvers·and·preconditioners·inside·this·function.</p>
642 <dl·class="section·note"><dt>Note</dt><dd>This·variable·represents·a·<a·class="el"·href="DEALGlossary.html#GlossUserProvidedCallBack">user·provided·callback</a>.·See·there·for·a·description·of·how·to·deal·with·errors·and·other·requirements·and·conventions.·In·particular,·<a·class="el"·href="classSUNDIALS_1_1IDA.html">IDA</a>·can·deal·with·"recoverable"·errors·in·some·circumstances,·so·callbacks·can·throw·exceptions·of·type·RecoverableUserCallbackError.</dd></dl>642 <dl·class="section·note"><dt>Note</dt><dd>This·variable·represents·a·<a·class="el"·href="DEALGlossary.html#GlossUserProvidedCallBack">user·provided·callback</a>.·See·there·for·a·description·of·how·to·deal·with·errors·and·other·requirements·and·conventions.·In·particular,·<a·class="el"·href="classSUNDIALS_1_1IDA.html">IDA</a>·can·deal·with·"recoverable"·errors·in·some·circumstances,·so·callbacks·can·throw·exceptions·of·type·RecoverableUserCallbackError.</dd></dl>
643 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000158">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classSUNDIALS_1_1IDA.html#a0ac21469a7e64c659c0c38eb3fc1ecc5">solve_with_jacobian()</a>·instead·which·also·uses·a·numerical·tolerance.·</dd></dl>643 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000156">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classSUNDIALS_1_1IDA.html#a0ac21469a7e64c659c0c38eb3fc1ecc5">solve_with_jacobian()</a>·instead·which·also·uses·a·numerical·tolerance.·</dd></dl>
  
644 <p·class="definition">Definition·at·line·<a·class="el"·href="ida_8h_source.html#l00736">736</a>·of·file·<a·class="el"·href="ida_8h_source.html">ida.h</a>.</p>644 <p·class="definition">Definition·at·line·<a·class="el"·href="ida_8h_source.html#l00736">736</a>·of·file·<a·class="el"·href="ida_8h_source.html">ida.h</a>.</p>
  
645 </div>645 </div>
646 </div>646 </div>
647 <a·id="a0ac21469a7e64c659c0c38eb3fc1ecc5"·name="a0ac21469a7e64c659c0c38eb3fc1ecc5"></a>647 <a·id="a0ac21469a7e64c659c0c38eb3fc1ecc5"·name="a0ac21469a7e64c659c0c38eb3fc1ecc5"></a>
648 <h2·class="memtitle"><span·class="permalink"><a·href="#a0ac21469a7e64c659c0c38eb3fc1ecc5">&#9670;&#160;</a></span>solve_with_jacobian</h2>648 <h2·class="memtitle"><span·class="permalink"><a·href="#a0ac21469a7e64c659c0c38eb3fc1ecc5">&#9670;&#160;</a></span>solve_with_jacobian</h2>
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Offset 486, 15 lines modifiedOffset 486, 15 lines modified
486 template&lt;typename·VectorType··=·Vector&lt;double&gt;&gt;·</div>486 template&lt;typename·VectorType··=·Vector&lt;double&gt;&gt;·</div>
487 ······<table·class="memname">487 ······<table·class="memname">
488 ········<tr>488 ········<tr>
489 ··········<td·class="memname">std::function&lt;void(const·VectorType·&amp;ycur,·const·VectorType·&amp;fcur,·const·VectorType·&amp;rhs,·VectorType·&amp;·dst)&gt;·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">SUNDIALS::KINSOL</a>&lt;·VectorType·&gt;::solve_jacobian_system</td>489 ··········<td·class="memname">std::function&lt;void(const·VectorType·&amp;ycur,·const·VectorType·&amp;fcur,·const·VectorType·&amp;rhs,·VectorType·&amp;·dst)&gt;·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">SUNDIALS::KINSOL</a>&lt;·VectorType·&gt;::solve_jacobian_system</td>
490 ········</tr>490 ········</tr>
491 ······</table>491 ······</table>
492 </div><div·class="memdoc">492 </div><div·class="memdoc">
493 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000155">Deprecated:</a></b></dt><dd>Versions·of·<a·class="el"·href="namespaceSUNDIALS.html">SUNDIALS</a>·after·4.0·no·longer·provide·all·of·the·information·necessary·for·this·callback·(see·below).·Use·the·<code>solve_with_jacobian</code>·callback·described·below.</dd></dl>493 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000158">Deprecated:</a></b></dt><dd>Versions·of·<a·class="el"·href="namespaceSUNDIALS.html">SUNDIALS</a>·after·4.0·no·longer·provide·all·of·the·information·necessary·for·this·callback·(see·below).·Use·the·<code>solve_with_jacobian</code>·callback·described·below.</dd></dl>
494 <p>A·function·object·that·users·may·supply·and·that·is·intended·to·solve·a·linear·system·with·the·Jacobian·matrix.·This·function·will·be·called·by·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·(possibly·several·times)·after·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·has·been·called·at·least·once.·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·tries·to·do·its·best·to·call·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·the·minimum·number·of·times.·If·convergence·can·be·achieved·without·updating·the·Jacobian,·then·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·does·not·call·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·again.·If,·on·the·contrary,·internal·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·convergence·tests·fail,·then·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·calls·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·again·with·updated·vectors·and·coefficients·so·that·successive·calls·to·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#accd7a4ad85484eb72369ad875f928f6f">solve_jacobian_system()</a>·lead·to·better·convergence·in·the·Newton·process.</p>494 <p>A·function·object·that·users·may·supply·and·that·is·intended·to·solve·a·linear·system·with·the·Jacobian·matrix.·This·function·will·be·called·by·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·(possibly·several·times)·after·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·has·been·called·at·least·once.·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·tries·to·do·its·best·to·call·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·the·minimum·number·of·times.·If·convergence·can·be·achieved·without·updating·the·Jacobian,·then·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·does·not·call·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·again.·If,·on·the·contrary,·internal·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·convergence·tests·fail,·then·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·calls·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#a1d3610ca7572f9e73f99a07c8c0a31da">setup_jacobian()</a>·again·with·updated·vectors·and·coefficients·so·that·successive·calls·to·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html#accd7a4ad85484eb72369ad875f928f6f">solve_jacobian_system()</a>·lead·to·better·convergence·in·the·Newton·process.</p>
495 <p>If·you·do·not·specify·a·<code>solve_jacobian_system</code>·or·<code>solve_with_jacobian</code>·function,·then·only·a·fixed·point·iteration·strategy·can·be·used.·Notice·that·this·may·not·converge,·or·may·converge·very·slowly.</p>495 <p>If·you·do·not·specify·a·<code>solve_jacobian_system</code>·or·<code>solve_with_jacobian</code>·function,·then·only·a·fixed·point·iteration·strategy·can·be·used.·Notice·that·this·may·not·converge,·or·may·converge·very·slowly.</p>
496 <p>A·call·to·this·function·should·store·in·<code>dst</code>·the·result·of·\(J^{-1}\)·applied·to·<code>rhs</code>,·i.e.,·\(J·\cdot·dst·=·rhs\).·It·is·the·user's·responsibility·to·set·up·proper·solvers·and·preconditioners·inside·this·function·(or·in·the·<code>setup_jacobian</code>·callback·above).</p>496 <p>A·call·to·this·function·should·store·in·<code>dst</code>·the·result·of·\(J^{-1}\)·applied·to·<code>rhs</code>,·i.e.,·\(J·\cdot·dst·=·rhs\).·It·is·the·user's·responsibility·to·set·up·proper·solvers·and·preconditioners·inside·this·function·(or·in·the·<code>setup_jacobian</code>·callback·above).</p>
497 <p>Arguments·to·the·function·are:</p>497 <p>Arguments·to·the·function·are:</p>
498 <dl·class="params"><dt>Parameters</dt><dd>498 <dl·class="params"><dt>Parameters</dt><dd>
499 ··<table·class="params">499 ··<table·class="params">
500 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">ycur</td><td>The·current·\(y\)·vector·for·the·current·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·internal·step.·In·the·documentation·above,·this·\(y\)·vector·is·generally·denoted·by·\(u\).·</td></tr>500 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">ycur</td><td>The·current·\(y\)·vector·for·the·current·<a·class="el"·href="classSUNDIALS_1_1KINSOL.html">KINSOL</a>·internal·step.·In·the·documentation·above,·this·\(y\)·vector·is·generally·denoted·by·\(u\).·</td></tr>
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1212 ··········<td·class="paramname"><em>result</em></td><td>)</td>1212 ··········<td·class="paramname"><em>result</em></td><td>)</td>
1213 ··········<td>·const</td>1213 ··········<td>·const</td>
1214 ········</tr>1214 ········</tr>
1215 ······</table>1215 ······</table>
1216 </div><div·class="memdoc">1216 </div><div·class="memdoc">
1217 <p>Fill·a·vector·with·all·tensor·elements.</p>1217 <p>Fill·a·vector·with·all·tensor·elements.</p>
1218 <p>This·function·unrolls·all·tensor·entries·into·a·single,·linearly·numbered·vector.·As·usual·in·C++,·the·rightmost·index·of·the·tensor·marches·fastest.</p>1218 <p>This·function·unrolls·all·tensor·entries·into·a·single,·linearly·numbered·vector.·As·usual·in·C++,·the·rightmost·index·of·the·tensor·marches·fastest.</p>
1219 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000030">Deprecated:</a></b></dt><dd>Use·the·more·general·function·that·takes·a·pair·of·iterators·instead.·</dd></dl>1219 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000037">Deprecated:</a></b></dt><dd>Use·the·more·general·function·that·takes·a·pair·of·iterators·instead.·</dd></dl>
  
1220 </div>1220 </div>
1221 </div>1221 </div>
1222 <a·id="a5227508480598cc2adf237d1327b779a"·name="a5227508480598cc2adf237d1327b779a"></a>1222 <a·id="a5227508480598cc2adf237d1327b779a"·name="a5227508480598cc2adf237d1327b779a"></a>
1223 <h2·class="memtitle"><span·class="permalink"><a·href="#a5227508480598cc2adf237d1327b779a">&#9670;&#160;</a></span>unroll()·<span·class="overload">[2/2]</span></h2>1223 <h2·class="memtitle"><span·class="permalink"><a·href="#a5227508480598cc2adf237d1327b779a">&#9670;&#160;</a></span>unroll()·<span·class="overload">[2/2]</span></h2>
  
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406 ··········<td>(</td>406 ··········<td>(</td>
407 ··········<td·class="paramname"></td><td>)</td>407 ··········<td·class="paramname"></td><td>)</td>
408 ··········<td></td>408 ··········<td></td>
409 ········</tr>409 ········</tr>
410 ······</table>410 ······</table>
411 </div><div·class="memdoc">411 </div><div·class="memdoc">
412 <p>Return·a·pointer·to·the·first·element·of·the·underlying·storage.</p>412 <p>Return·a·pointer·to·the·first·element·of·the·underlying·storage.</p>
413 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000026">Deprecated:</a></b></dt><dd>This·function·suggests·that·the·elements·of·a·<a·class="el"·href="classTensor.html">Tensor</a>·object·are·stored·as·a·contiguous·array,·but·this·is·not·in·fact·true·and·one·should·not·pretend·that·this·so.·As·a·consequence,·this·function·is·deprecated.·</dd></dl>413 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000028">Deprecated:</a></b></dt><dd>This·function·suggests·that·the·elements·of·a·<a·class="el"·href="classTensor.html">Tensor</a>·object·are·stored·as·a·contiguous·array,·but·this·is·not·in·fact·true·and·one·should·not·pretend·that·this·so.·As·a·consequence,·this·function·is·deprecated.·</dd></dl>
  
414 </div>414 </div>
415 </div>415 </div>
416 <a·id="aab736ff37675ae022f045044112e1b39"·name="aab736ff37675ae022f045044112e1b39"></a>416 <a·id="aab736ff37675ae022f045044112e1b39"·name="aab736ff37675ae022f045044112e1b39"></a>
417 <h2·class="memtitle"><span·class="permalink"><a·href="#aab736ff37675ae022f045044112e1b39">&#9670;&#160;</a></span>begin_raw()·<span·class="overload">[2/2]</span></h2>417 <h2·class="memtitle"><span·class="permalink"><a·href="#aab736ff37675ae022f045044112e1b39">&#9670;&#160;</a></span>begin_raw()·<span·class="overload">[2/2]</span></h2>
  
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134 <tr·class="separator:a857c565ad2f304651eaced61d6c58afa"><td·class="memSeparator"·colspan="2">&#160;</td></tr>134 <tr·class="separator:a857c565ad2f304651eaced61d6c58afa"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
135 </table>135 </table>
136 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>136 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
137 <div·class="textblock"><div·class="compoundTemplParams">template&lt;typename·RT·=·void&gt;<br·/>137 <div·class="textblock"><div·class="compoundTemplParams">template&lt;typename·RT·=·void&gt;<br·/>
138 class·Threads::Thread&lt;·RT·&gt;</div><p>An·object·that·represents·a·spawned·thread.·This·object·can·be·freely·copied·around·in·user·space,·and·all·instances·will·represent·the·same·thread·and·can·require·to·wait·for·its·termination·and·access·its·return·value.</p>138 class·Threads::Thread&lt;·RT·&gt;</div><p>An·object·that·represents·a·spawned·thread.·This·object·can·be·freely·copied·around·in·user·space,·and·all·instances·will·represent·the·same·thread·and·can·require·to·wait·for·its·termination·and·access·its·return·value.</p>
139 <p><a·class="el"·href="namespaceThreads.html">Threads</a>·can·be·abandoned,·i.e.·if·you·just·call·<a·class="el"·href="group__threads.html#ga6193c8d71bc5ea4094d5d706f8a76219">Threads::new_thread</a>·but·don't·care·about·the·returned·object,·or·if·you·assign·the·return·<a·class="el"·href="classThreads_1_1Thread.html">Threads::Thread</a>·object·to·an·object·that·subsequently·goes·out·of·scope,·then·the·thread·previously·created·will·still·continue·to·do·work.·You·will·simply·not·be·able·to·access·its·return·value·any·more,·and·it·may·also·happen·that·your·program·terminates·before·the·thread·has·finished·its·work.</p>139 <p><a·class="el"·href="namespaceThreads.html">Threads</a>·can·be·abandoned,·i.e.·if·you·just·call·<a·class="el"·href="group__threads.html#ga6193c8d71bc5ea4094d5d706f8a76219">Threads::new_thread</a>·but·don't·care·about·the·returned·object,·or·if·you·assign·the·return·<a·class="el"·href="classThreads_1_1Thread.html">Threads::Thread</a>·object·to·an·object·that·subsequently·goes·out·of·scope,·then·the·thread·previously·created·will·still·continue·to·do·work.·You·will·simply·not·be·able·to·access·its·return·value·any·more,·and·it·may·also·happen·that·your·program·terminates·before·the·thread·has·finished·its·work.</p>
140 <p>The·default·value·of·the·template·argument·is·<code>void</code>,·so·if·the·function·you·are·calling·on·a·new·thread·has·no·return·value,·you·can·omit·the·template·argument.</p>140 <p>The·default·value·of·the·template·argument·is·<code>void</code>,·so·if·the·function·you·are·calling·on·a·new·thread·has·no·return·value,·you·can·omit·the·template·argument.</p>
141 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000031">Deprecated:</a></b></dt><dd>Use·std::thread·or·std::jthread·instead.</dd></dl>141 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000026">Deprecated:</a></b></dt><dd>Use·std::thread·or·std::jthread·instead.</dd></dl>
142 <dl·class="section·note"><dt>Note</dt><dd>Since·this·class·is·used·in·<a·class="el"·href="classThreads_1_1ThreadGroup.html">ThreadGroup</a>,·its·constructors,·rather·than·the·class·itself,·are·deprecated·to·allow·compilation·with·-Werror=deprecated-declarations.·</dd></dl>142 <dl·class="section·note"><dt>Note</dt><dd>Since·this·class·is·used·in·<a·class="el"·href="classThreads_1_1ThreadGroup.html">ThreadGroup</a>,·its·constructors,·rather·than·the·class·itself,·are·deprecated·to·allow·compilation·with·-Werror=deprecated-declarations.·</dd></dl>
  
143 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00552">552</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>143 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00552">552</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>
144 </div><h2·class="groupheader">Constructor·&amp;·Destructor·Documentation</h2>144 </div><h2·class="groupheader">Constructor·&amp;·Destructor·Documentation</h2>
145 <a·id="a429b480f047103466ee483efb9a89b9b"·name="a429b480f047103466ee483efb9a89b9b"></a>145 <a·id="a429b480f047103466ee483efb9a89b9b"·name="a429b480f047103466ee483efb9a89b9b"></a>
146 <h2·class="memtitle"><span·class="permalink"><a·href="#a429b480f047103466ee483efb9a89b9b">&#9670;&#160;</a></span>Thread()·<span·class="overload">[1/3]</span></h2>146 <h2·class="memtitle"><span·class="permalink"><a·href="#a429b480f047103466ee483efb9a89b9b">&#9670;&#160;</a></span>Thread()·<span·class="overload">[1/3]</span></h2>
  
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117 Private·Attributes</h2></td></tr>117 Private·Attributes</h2></td></tr>
118 <tr·class="memitem:a0505bcbad5a95171673ccd07c28c2e23"·id="r_a0505bcbad5a95171673ccd07c28c2e23"><td·class="memItemLeft"·align="right"·valign="top">std::list&lt;·<a·class="el"·href="classThreads_1_1Thread.html">Thread</a>&lt;·RT·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classThreads_1_1ThreadGroup.html#a0505bcbad5a95171673ccd07c28c2e23">threads</a></td></tr>118 <tr·class="memitem:a0505bcbad5a95171673ccd07c28c2e23"·id="r_a0505bcbad5a95171673ccd07c28c2e23"><td·class="memItemLeft"·align="right"·valign="top">std::list&lt;·<a·class="el"·href="classThreads_1_1Thread.html">Thread</a>&lt;·RT·&gt;·&gt;&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="classThreads_1_1ThreadGroup.html#a0505bcbad5a95171673ccd07c28c2e23">threads</a></td></tr>
119 <tr·class="separator:a0505bcbad5a95171673ccd07c28c2e23"><td·class="memSeparator"·colspan="2">&#160;</td></tr>119 <tr·class="separator:a0505bcbad5a95171673ccd07c28c2e23"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
120 </table>120 </table>
121 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>121 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
122 <div·class="textblock"><div·class="compoundTemplParams">template&lt;typename·RT·=·void&gt;<br·/>122 <div·class="textblock"><div·class="compoundTemplParams">template&lt;typename·RT·=·void&gt;<br·/>
123 class·Threads::ThreadGroup&lt;·RT·&gt;</div><p>A·container·for·thread·objects.·Allows·to·add·new·thread·objects·and·wait·for·them·all·together.·The·thread·objects·need·to·have·the·same·return·value·for·the·called·function.</p>123 class·Threads::ThreadGroup&lt;·RT·&gt;</div><p>A·container·for·thread·objects.·Allows·to·add·new·thread·objects·and·wait·for·them·all·together.·The·thread·objects·need·to·have·the·same·return·value·for·the·called·function.</p>
124 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000037">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classThreads_1_1TaskGroup.html">TaskGroup</a>·instead.·</dd></dl>124 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000036">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classThreads_1_1TaskGroup.html">TaskGroup</a>·instead.·</dd></dl>
  
125 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00899">899</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>125 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00899">899</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>
126 </div><h2·class="groupheader">Member·Function·Documentation</h2>126 </div><h2·class="groupheader">Member·Function·Documentation</h2>
127 <a·id="ad7fac2f457e24dabf28429ddbb110fca"·name="ad7fac2f457e24dabf28429ddbb110fca"></a>127 <a·id="ad7fac2f457e24dabf28429ddbb110fca"·name="ad7fac2f457e24dabf28429ddbb110fca"></a>
128 <h2·class="memtitle"><span·class="permalink"><a·href="#ad7fac2f457e24dabf28429ddbb110fca">&#9670;&#160;</a></span>operator+=()</h2>128 <h2·class="memtitle"><span·class="permalink"><a·href="#ad7fac2f457e24dabf28429ddbb110fca">&#9670;&#160;</a></span>operator+=()</h2>
  
129 <div·class="memitem">129 <div·class="memitem">
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998 ··········<td·class="memname">unsigned·<a·class="el"·href="classint.html">int</a>·<a·class="el"·href="classTriaAccessor.html">TriaAccessor</a>&lt;·structdim,·dim,·spacedim·&gt;::number_of_children·</td>998 ··········<td·class="memname">unsigned·<a·class="el"·href="classint.html">int</a>·<a·class="el"·href="classTriaAccessor.html">TriaAccessor</a>&lt;·structdim,·dim,·spacedim·&gt;::number_of_children·</td>
999 ··········<td>(</td>999 ··········<td>(</td>
1000 ··········<td·class="paramname"></td><td>)</td>1000 ··········<td·class="paramname"></td><td>)</td>
1001 ··········<td>·const</td>1001 ··········<td>·const</td>
1002 ········</tr>1002 ········</tr>
1003 ······</table>1003 ······</table>
1004 </div><div·class="memdoc">1004 </div><div·class="memdoc">
1005 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000091">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor.html#a24fb24948b4e177f8e4eb737ec057397">n_active_descendants()</a>·instead.·</dd></dl>1005 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000092">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor.html#a24fb24948b4e177f8e4eb737ec057397">n_active_descendants()</a>·instead.·</dd></dl>
  
1006 </div>1006 </div>
1007 </div>1007 </div>
1008 <a·id="a24fb24948b4e177f8e4eb737ec057397"·name="a24fb24948b4e177f8e4eb737ec057397"></a>1008 <a·id="a24fb24948b4e177f8e4eb737ec057397"·name="a24fb24948b4e177f8e4eb737ec057397"></a>
1009 <h2·class="memtitle"><span·class="permalink"><a·href="#a24fb24948b4e177f8e4eb737ec057397">&#9670;&#160;</a></span>n_active_descendants()</h2>1009 <h2·class="memtitle"><span·class="permalink"><a·href="#a24fb24948b4e177f8e4eb737ec057397">&#9670;&#160;</a></span>n_active_descendants()</h2>
  
1010 <div·class="memitem">1010 <div·class="memitem">
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1614 ······</table>1614 ······</table>
1615 ··</td>1615 ··</td>
1616 ··<td·class="mlabels-right">1616 ··<td·class="mlabels-right">
1617 <span·class="mlabels"><span·class="mlabel">static</span></span>··</td>1617 <span·class="mlabels"><span·class="mlabel">static</span></span>··</td>
1618 ··</tr>1618 ··</tr>
1619 </table>1619 </table>
1620 </div><div·class="memdoc">1620 </div><div·class="memdoc">
1621 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000093">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor_3_010_00_011_00_01spacedim_01_4.html#a6e3dd28811415224c0a677b5c1415d0f">n_active_descendants()</a>·instead.·</dd></dl>1621 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000094">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor_3_010_00_011_00_01spacedim_01_4.html#a6e3dd28811415224c0a677b5c1415d0f">n_active_descendants()</a>·instead.·</dd></dl>
  
1622 </div>1622 </div>
1623 </div>1623 </div>
1624 <a·id="a2d15c61e378b196d74751ccd2a9e755f"·name="a2d15c61e378b196d74751ccd2a9e755f"></a>1624 <a·id="a2d15c61e378b196d74751ccd2a9e755f"·name="a2d15c61e378b196d74751ccd2a9e755f"></a>
1625 <h2·class="memtitle"><span·class="permalink"><a·href="#a2d15c61e378b196d74751ccd2a9e755f">&#9670;&#160;</a></span>max_refinement_depth()</h2>1625 <h2·class="memtitle"><span·class="permalink"><a·href="#a2d15c61e378b196d74751ccd2a9e755f">&#9670;&#160;</a></span>max_refinement_depth()</h2>
  
1626 <div·class="memitem">1626 <div·class="memitem">
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1074 ······</table>1074 ······</table>
1075 ··</td>1075 ··</td>
1076 ··<td·class="mlabels-right">1076 ··<td·class="mlabels-right">
1077 <span·class="mlabels"><span·class="mlabel">static</span></span>··</td>1077 <span·class="mlabels"><span·class="mlabel">static</span></span>··</td>
1078 ··</tr>1078 ··</tr>
1079 </table>1079 </table>
1080 </div><div·class="memdoc">1080 </div><div·class="memdoc">
1081 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000092">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor_3_010_00_01dim_00_01spacedim_01_4.html#acbc5503a0e7ed58c7eda8084e26cc5ba">n_active_descendants()</a>·instead.·</dd></dl>1081 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000093">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTriaAccessor_3_010_00_01dim_00_01spacedim_01_4.html#acbc5503a0e7ed58c7eda8084e26cc5ba">n_active_descendants()</a>·instead.·</dd></dl>
  
1082 </div>1082 </div>
1083 </div>1083 </div>
1084 <a·id="ab0671aaa701d7a6a1e933776200e39ed"·name="ab0671aaa701d7a6a1e933776200e39ed"></a>1084 <a·id="ab0671aaa701d7a6a1e933776200e39ed"·name="ab0671aaa701d7a6a1e933776200e39ed"></a>
1085 <h2·class="memtitle"><span·class="permalink"><a·href="#ab0671aaa701d7a6a1e933776200e39ed">&#9670;&#160;</a></span>max_refinement_depth()</h2>1085 <h2·class="memtitle"><span·class="permalink"><a·href="#ab0671aaa701d7a6a1e933776200e39ed">&#9670;&#160;</a></span>max_refinement_depth()</h2>
  
1086 <div·class="memitem">1086 <div·class="memitem">
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1257 ······</table>1257 ······</table>
1258 ··</td>1258 ··</td>
1259 ··<td·class="mlabels-right">1259 ··<td·class="mlabels-right">
1260 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>1260 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>
1261 ··</tr>1261 ··</tr>
1262 </table>1262 </table>
1263 </div><div·class="memdoc">1263 </div><div·class="memdoc">
1264 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000137">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTrilinosWrappers_1_1MPI_1_1Vector.html#a309d32da4417196dedbb626feb9c0bf0">import_elements()</a>·instead.·</dd></dl>1264 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000136">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classTrilinosWrappers_1_1MPI_1_1Vector.html#a309d32da4417196dedbb626feb9c0bf0">import_elements()</a>·instead.·</dd></dl>
  
1265 <p·class="definition">Definition·at·line·<a·class="el"·href="trilinos__vector_8h_source.html#l00736">736</a>·of·file·<a·class="el"·href="trilinos__vector_8h_source.html">trilinos_vector.h</a>.</p>1265 <p·class="definition">Definition·at·line·<a·class="el"·href="trilinos__vector_8h_source.html#l00736">736</a>·of·file·<a·class="el"·href="trilinos__vector_8h_source.html">trilinos_vector.h</a>.</p>
  
1266 </div>1266 </div>
1267 </div>1267 </div>
1268 <a·id="aa363aa1eab397fc873db21871d653564"·name="aa363aa1eab397fc873db21871d653564"></a>1268 <a·id="aa363aa1eab397fc873db21871d653564"·name="aa363aa1eab397fc873db21871d653564"></a>
1269 <h2·class="memtitle"><span·class="permalink"><a·href="#aa363aa1eab397fc873db21871d653564">&#9670;&#160;</a></span>operator==()</h2>1269 <h2·class="memtitle"><span·class="permalink"><a·href="#aa363aa1eab397fc873db21871d653564">&#9670;&#160;</a></span>operator==()</h2>
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1397 <span·class="mlabels"><span·class="mlabel">pure·virtual</span></span>··</td>1397 <span·class="mlabels"><span·class="mlabel">pure·virtual</span></span>··</td>
1398 ··</tr>1398 ··</tr>
1399 </table>1399 </table>
1400 </div><div·class="memdoc">1400 </div><div·class="memdoc">
  
1401 <p></p>1401 <p></p>
1402 <p>Load·the·triangulation·saved·with·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#ac958319402a5301d2dde94f1c6e8c78a">save()</a>·back·in.·Cell-based·data·that·was·saved·with·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#acb1a95528832932bf2fad380f8098367">register_data_attach()</a>·can·be·read·in·with·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#a6fbdf11dcfacd414a8936e6d26fecb76">notify_ready_to_unpack()</a>·after·calling·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#a3381de2070bead9981aa9c1460235459">load()</a>.··</p>1402 <p>Load·the·triangulation·saved·with·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#ac958319402a5301d2dde94f1c6e8c78a">save()</a>·back·in.·Cell-based·data·that·was·saved·with·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#acb1a95528832932bf2fad380f8098367">register_data_attach()</a>·can·be·read·in·with·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#a6fbdf11dcfacd414a8936e6d26fecb76">notify_ready_to_unpack()</a>·after·calling·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#a3381de2070bead9981aa9c1460235459">load()</a>.··</p>
1403 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000040">Deprecated:</a></b></dt><dd>The·autopartition·parameter·has·been·removed.·</dd></dl>1403 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000039">Deprecated:</a></b></dt><dd>The·autopartition·parameter·has·been·removed.·</dd></dl>
  
1404 <p>Implemented·in·<a·class="el"·href="classparallel_1_1fullydistributed_1_1Triangulation.html#abf3aff3661edbd992400f5a893067d14">parallel::fullydistributed::Triangulation&lt;·dim,·spacedim·&gt;</a>,·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#abf3aff3661edbd992400f5a893067d14">parallel::distributed::Triangulation&lt;·dim,·spacedim·&gt;</a>,·and·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation_3_011_00_01spacedim_01_4.html#a7e17e6dc32b9a5ceb0661d62d53f242a">parallel::distributed::Triangulation&lt;·1,·spacedim·&gt;</a>.</p>1404 <p>Implemented·in·<a·class="el"·href="classparallel_1_1fullydistributed_1_1Triangulation.html#abf3aff3661edbd992400f5a893067d14">parallel::fullydistributed::Triangulation&lt;·dim,·spacedim·&gt;</a>,·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#abf3aff3661edbd992400f5a893067d14">parallel::distributed::Triangulation&lt;·dim,·spacedim·&gt;</a>,·and·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation_3_011_00_01spacedim_01_4.html#a7e17e6dc32b9a5ceb0661d62d53f242a">parallel::distributed::Triangulation&lt;·1,·spacedim·&gt;</a>.</p>
  
1405 </div>1405 </div>
1406 </div>1406 </div>
1407 <a·id="acb1a95528832932bf2fad380f8098367"·name="acb1a95528832932bf2fad380f8098367"></a>1407 <a·id="acb1a95528832932bf2fad380f8098367"·name="acb1a95528832932bf2fad380f8098367"></a>
1408 <h2·class="memtitle"><span·class="permalink"><a·href="#acb1a95528832932bf2fad380f8098367">&#9670;&#160;</a></span>register_data_attach()</h2>1408 <h2·class="memtitle"><span·class="permalink"><a·href="#acb1a95528832932bf2fad380f8098367">&#9670;&#160;</a></span>register_data_attach()</h2>
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2008 </table>2008 </table>
2009 </div><div·class="memdoc">2009 </div><div·class="memdoc">
  
2010 <p></p>2010 <p></p>
2011 <p>Load·the·refinement·information·saved·with·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#ac954bc1132f894e7deadb42325d526ae">save()</a>·back·in.·The·mesh·must·contain·the·same·coarse·mesh·that·was·used·in·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#ac954bc1132f894e7deadb42325d526ae">save()</a>·before·calling·this·function.</p>2011 <p>Load·the·refinement·information·saved·with·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#ac954bc1132f894e7deadb42325d526ae">save()</a>·back·in.·The·mesh·must·contain·the·same·coarse·mesh·that·was·used·in·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#ac954bc1132f894e7deadb42325d526ae">save()</a>·before·calling·this·function.</p>
2012 <p>You·do·not·need·to·load·with·the·same·number·of·MPI·processes·that·you·saved·with.·Rather,·if·a·mesh·is·loaded·with·a·different·number·of·MPI·processes·than·used·at·the·time·of·saving,·the·mesh·is·repartitioned·that·the·number·of·cells·is·balanced·among·all·processes.·Individual·repartitioning,·e.g.,·based·on·the·number·of·dofs·or·particles·per·cell,·needs·to·be·invoked·manually·by·calling·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#aa60aa44855cf983709833271e7d7304a">repartition()</a>·afterwards.</p>2012 <p>You·do·not·need·to·load·with·the·same·number·of·MPI·processes·that·you·saved·with.·Rather,·if·a·mesh·is·loaded·with·a·different·number·of·MPI·processes·than·used·at·the·time·of·saving,·the·mesh·is·repartitioned·that·the·number·of·cells·is·balanced·among·all·processes.·Individual·repartitioning,·e.g.,·based·on·the·number·of·dofs·or·particles·per·cell,·needs·to·be·invoked·manually·by·calling·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#aa60aa44855cf983709833271e7d7304a">repartition()</a>·afterwards.</p>
2013 <p>Cell-based·data·that·was·saved·with·DistributedTriangulationBase::DataTransfer::register_data_attach()·can·be·read·in·with·DistributedTriangulationBase::DataTransfer::notify_ready_to_unpack()·after·calling·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#af2a75dce4f9a49707c510dc2eaf5fcf6">load()</a>.··</p>2013 <p>Cell-based·data·that·was·saved·with·DistributedTriangulationBase::DataTransfer::register_data_attach()·can·be·read·in·with·DistributedTriangulationBase::DataTransfer::notify_ready_to_unpack()·after·calling·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html#af2a75dce4f9a49707c510dc2eaf5fcf6">load()</a>.··</p>
2014 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000039">Deprecated:</a></b></dt><dd>The·autopartition·parameter·has·been·removed.·</dd></dl>2014 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000047">Deprecated:</a></b></dt><dd>The·autopartition·parameter·has·been·removed.·</dd></dl>
  
2015 <p>Implements·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#a43a3638eebf6eb15506ca836b23c2026">parallel::DistributedTriangulationBase&lt;·dim,·spacedim·&gt;</a>.</p>2015 <p>Implements·<a·class="el"·href="classparallel_1_1DistributedTriangulationBase.html#a43a3638eebf6eb15506ca836b23c2026">parallel::DistributedTriangulationBase&lt;·dim,·spacedim·&gt;</a>.</p>
  
2016 <p·class="definition">Definition·at·line·<a·class="el"·href="distributed_2tria_8cc_source.html#l02161">2161</a>·of·file·<a·class="el"·href="distributed_2tria_8cc_source.html">tria.cc</a>.</p>2016 <p·class="definition">Definition·at·line·<a·class="el"·href="distributed_2tria_8cc_source.html#l02161">2161</a>·of·file·<a·class="el"·href="distributed_2tria_8cc_source.html">tria.cc</a>.</p>
  
2017 </div>2017 </div>
2018 </div>2018 </div>
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97 <div·class="contents">97 <div·class="contents">
98 <div·class="textblock"><dl·class="reflist">98 <div·class="textblock"><dl·class="reflist">
99 <dt>Member·<a·class="el"·href="namespaceDataOutBase.html#aed25a6ddf928a6904fd1ac942125ec86">DataOutBase::default_suffix</a>··(const·OutputFormat·output_format)</dt>99 <dt>Member·<a·class="el"·href="namespaceDataOutBase.html#aed25a6ddf928a6904fd1ac942125ec86">DataOutBase::default_suffix</a>··(const·OutputFormat·output_format)</dt>
100 <dd><a·class="anchor"·id="_deprecated000005"></a>Using·Tecplot·binary·output·is·deprecated.··</dd>100 <dd><a·class="anchor"·id="_deprecated000005"></a>Using·Tecplot·binary·output·is·deprecated.··</dd>
101 <dt>Member·<a·class="el"·href="structDataOutBase_1_1VtkFlags.html#a2f2177c507c4aa03ca319f306a5a9e89">DataOutBase::VtkFlags::ZlibCompressionLevel</a>··</dt>101 <dt>Member·<a·class="el"·href="structDataOutBase_1_1VtkFlags.html#a2f2177c507c4aa03ca319f306a5a9e89">DataOutBase::VtkFlags::ZlibCompressionLevel</a>··</dt>
102 <dd><a·class="anchor"·id="_deprecated000006"></a>Use·<a·class="el"·href="namespaceDataOutBase.html#af036f347f3e7f48a0e602577905fb3c9">DataOutBase::CompressionLevel</a>·instead.··</dd>102 <dd><a·class="anchor"·id="_deprecated000006"></a>Use·<a·class="el"·href="namespaceDataOutBase.html#af036f347f3e7f48a0e602577905fb3c9">DataOutBase::CompressionLevel</a>·instead.··</dd>
103 <dt>Member·<a·class="el"·href="classDoFHandler.html#a8e546939eca059c99572e1d22fe7df42">DoFHandler&lt;·dim,·spacedim·&gt;::active_fe_index_type</a>··</dt>103 <dt>Member·<a·class="el"·href="classDoFHandler.html#a8e546939eca059c99572e1d22fe7df42">DoFHandler&lt;·dim,·spacedim·&gt;::active_fe_index_type</a>··</dt>
104 <dd><a·class="anchor"·id="_deprecated000042"></a>Use·<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a>·instead.··</dd>104 <dd><a·class="anchor"·id="_deprecated000041"></a>Use·<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a>·instead.··</dd>
105 <dt>Member·<a·class="el"·href="classDoFHandler.html#ad6aa6afe657729ade39a45b567aae969">DoFHandler&lt;·dim,·spacedim·&gt;::get_active_fe_indices</a>··(std::vector&lt;·unsigned·int·&gt;·&amp;active_fe_indices)·const</dt>105 <dt>Member·<a·class="el"·href="classDoFHandler.html#ad6aa6afe657729ade39a45b567aae969">DoFHandler&lt;·dim,·spacedim·&gt;::get_active_fe_indices</a>··(std::vector&lt;·unsigned·int·&gt;·&amp;active_fe_indices)·const</dt>
106 <dd><a·class="anchor"·id="_deprecated000045"></a>Use·<a·class="el"·href="classDoFHandler.html#a9a43188bb51fa83d1d881e912e37d907">get_active_fe_indices()</a>·that·returns·the·result·vector.··</dd>106 <dd><a·class="anchor"·id="_deprecated000044"></a>Use·<a·class="el"·href="classDoFHandler.html#a9a43188bb51fa83d1d881e912e37d907">get_active_fe_indices()</a>·that·returns·the·result·vector.··</dd>
107 <dt>Member·<a·class="el"·href="classDoFHandler.html#acd3446bec6df16554f7a4fe152dc3b12">DoFHandler&lt;·dim,·spacedim·&gt;::invalid_active_fe_index</a>··</dt>107 <dt>Member·<a·class="el"·href="classDoFHandler.html#acd3446bec6df16554f7a4fe152dc3b12">DoFHandler&lt;·dim,·spacedim·&gt;::invalid_active_fe_index</a>··</dt>
108 <dd><a·class="anchor"·id="_deprecated000043"></a>Use·<a·class="el"·href="namespacenumbers.html#a68833f614e75335310483b7aada89f80">numbers::invalid_fe_index</a>·instead.··</dd>108 <dd><a·class="anchor"·id="_deprecated000042"></a>Use·<a·class="el"·href="namespacenumbers.html#a68833f614e75335310483b7aada89f80">numbers::invalid_fe_index</a>·instead.··</dd>
109 <dt>Member·<a·class="el"·href="classDoFHandler.html#ace4661e523ce36db7d0abac804ed64c8">DoFHandler&lt;·dim,·spacedim·&gt;::invalid_fe_index</a>··</dt>109 <dt>Member·<a·class="el"·href="classDoFHandler.html#ace4661e523ce36db7d0abac804ed64c8">DoFHandler&lt;·dim,·spacedim·&gt;::invalid_fe_index</a>··</dt>
110 <dd><a·class="anchor"·id="_deprecated000041"></a>Use·<a·class="el"·href="namespacenumbers.html#a68833f614e75335310483b7aada89f80">numbers::invalid_fe_index</a>·instead.··</dd>110 <dd><a·class="anchor"·id="_deprecated000040"></a>Use·<a·class="el"·href="namespacenumbers.html#a68833f614e75335310483b7aada89f80">numbers::invalid_fe_index</a>·instead.··</dd>
111 <dt>Member·<a·class="el"·href="classDoFHandler.html#a2faab5ec1bed5694623c75ec9e64cae7">DoFHandler&lt;·dim,·spacedim·&gt;::set_active_fe_indices</a>··(const·std::vector&lt;·unsigned·int·&gt;·&amp;active_fe_indices)</dt>111 <dt>Member·<a·class="el"·href="classDoFHandler.html#a2faab5ec1bed5694623c75ec9e64cae7">DoFHandler&lt;·dim,·spacedim·&gt;::set_active_fe_indices</a>··(const·std::vector&lt;·unsigned·int·&gt;·&amp;active_fe_indices)</dt>
112 <dd><a·class="anchor"·id="_deprecated000044"></a>Use·<a·class="el"·href="classDoFHandler.html#ae3ede66acb7552b57ff5aac4e0263853">set_active_fe_indices()</a>·with·the·<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a>·datatype.··</dd>112 <dd><a·class="anchor"·id="_deprecated000043"></a>Use·<a·class="el"·href="classDoFHandler.html#ae3ede66acb7552b57ff5aac4e0263853">set_active_fe_indices()</a>·with·the·<a·class="el"·href="namespacetypes.html#a6349a42041132a6bc7e1e9ffb7e119b3">types::fe_index</a>·datatype.··</dd>
113 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a06b3c33925c1a1f15de20deda20b4d21">DoFTools::extract_boundary_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·const·<a·class="el"·href="classComponentMask.html">ComponentMask</a>·&amp;component_mask,·std::vector&lt;·bool·&gt;·&amp;selected_dofs,·const·std::set&lt;·types::boundary_id·&gt;·&amp;boundary_ids={})</dt>113 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a06b3c33925c1a1f15de20deda20b4d21">DoFTools::extract_boundary_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·const·<a·class="el"·href="classComponentMask.html">ComponentMask</a>·&amp;component_mask,·std::vector&lt;·bool·&gt;·&amp;selected_dofs,·const·std::set&lt;·types::boundary_id·&gt;·&amp;boundary_ids={})</dt>
114 <dd><a·class="anchor"·id="_deprecated000048"></a>This·function·will·not·work·for·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>·objects·that·are·built·on·a·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html">parallel::distributed::Triangulation</a>·object.·The·reasons·is·that·the·output·argument·<code>selected_dofs</code>·has·to·have·a·length·equal·to·<em>all</em>·global·degrees·of·freedom.·Consequently,·this·does·not·scale·to·very·large·problems,·and·this·is·also·why·the·function·is·deprecated.·If·you·need·the·functionality·of·this·function·for·parallel·triangulations,·then·you·need·to·use·the·other·<a·class="el"·href="namespaceDoFTools.html#a06b3c33925c1a1f15de20deda20b4d21">DoFTools::extract_boundary_dofs()</a>·function·that·returns·its·information·via·an·<a·class="el"·href="classIndexSet.html">IndexSet</a>·object.·</dd>114 <dd><a·class="anchor"·id="_deprecated000048"></a>This·function·will·not·work·for·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>·objects·that·are·built·on·a·<a·class="el"·href="classparallel_1_1distributed_1_1Triangulation.html">parallel::distributed::Triangulation</a>·object.·The·reasons·is·that·the·output·argument·<code>selected_dofs</code>·has·to·have·a·length·equal·to·<em>all</em>·global·degrees·of·freedom.·Consequently,·this·does·not·scale·to·very·large·problems,·and·this·is·also·why·the·function·is·deprecated.·If·you·need·the·functionality·of·this·function·for·parallel·triangulations,·then·you·need·to·use·the·other·<a·class="el"·href="namespaceDoFTools.html#a06b3c33925c1a1f15de20deda20b4d21">DoFTools::extract_boundary_dofs()</a>·function·that·returns·its·information·via·an·<a·class="el"·href="classIndexSet.html">IndexSet</a>·object.·</dd>
115 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a905daad9c1cf1db522610811cd555b56">DoFTools::extract_boundary_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·const·<a·class="el"·href="classComponentMask.html">ComponentMask</a>·&amp;component_mask,·<a·class="el"·href="classIndexSet.html">IndexSet</a>·&amp;selected_dofs,·const·std::set&lt;·types::boundary_id·&gt;·&amp;boundary_ids={})</dt>115 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a905daad9c1cf1db522610811cd555b56">DoFTools::extract_boundary_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·const·<a·class="el"·href="classComponentMask.html">ComponentMask</a>·&amp;component_mask,·<a·class="el"·href="classIndexSet.html">IndexSet</a>·&amp;selected_dofs,·const·std::set&lt;·types::boundary_id·&gt;·&amp;boundary_ids={})</dt>
116 <dd><a·class="anchor"·id="_deprecated000049"></a>Use·the·previous·function·instead.··</dd>116 <dd><a·class="anchor"·id="_deprecated000049"></a>Use·the·previous·function·instead.··</dd>
117 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a5f745d25d2397a91dc65b9158b8d77a6">DoFTools::extract_locally_active_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·<a·class="el"·href="classIndexSet.html">IndexSet</a>·&amp;dof_set)</dt>117 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a5f745d25d2397a91dc65b9158b8d77a6">DoFTools::extract_locally_active_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·<a·class="el"·href="classIndexSet.html">IndexSet</a>·&amp;dof_set)</dt>
118 <dd><a·class="anchor"·id="_deprecated000050"></a>Use·the·previous·function·instead.··</dd>118 <dd><a·class="anchor"·id="_deprecated000050"></a>Use·the·previous·function·instead.··</dd>
119 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#af778defeb024f32c1e3500963936639f">DoFTools::extract_locally_active_level_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·<a·class="el"·href="classIndexSet.html">IndexSet</a>·&amp;dof_set,·const·unsigned·int·level)</dt>119 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#af778defeb024f32c1e3500963936639f">DoFTools::extract_locally_active_level_dofs</a>··(const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·<a·class="el"·href="classIndexSet.html">IndexSet</a>·&amp;dof_set,·const·unsigned·int·level)</dt>
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92 </div>92 </div>
  
93 <div·class="contents">93 <div·class="contents">
94 <div·class="textblock">Here·is·a·list·of·all·macros·with·links·to·the·files·they·belong·to:</div>94 <div·class="textblock">Here·is·a·list·of·all·macros·with·links·to·the·files·they·belong·to:</div>
  
95 <h3><a·id="index_s"·name="index_s"></a>-·s·-</h3><ul>95 <h3><a·id="index_s"·name="index_s"></a>-·s·-</h3><ul>
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235 <div·class="line">················································<span·class="keywordflow">return</span>·42;</div>235 <div·class="line">················································<span·class="keywordflow">return</span>·42;</div>
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237 </div><!--·fragment·--></dd>237 </div><!--·fragment·--></dd>
238 <dd>238 <dd>
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240 <dd>240 <dd>
241 If·you·pass·a·lambda·function·as·an·argument·to·the·current·function·that·captures·a·variable·<em>by·reference</em>,·or·if·you·use·a·std::bind·that·binds·a·function·argument·to·a·reference·variable·using·std::ref()·or·std::cref(),·then·obviously·you·can·only·do·this·if·the·variables·you·reference·or·capture·have·a·lifetime·that·extends·at·least·until·the·time·where·the·thread·finishes.</dd></dl>241 If·you·pass·a·lambda·function·as·an·argument·to·the·current·function·that·captures·a·variable·<em>by·reference</em>,·or·if·you·use·a·std::bind·that·binds·a·function·argument·to·a·reference·variable·using·std::ref()·or·std::cref(),·then·obviously·you·can·only·do·this·if·the·variables·you·reference·or·capture·have·a·lifetime·that·extends·at·least·until·the·time·where·the·thread·finishes.</dd></dl>
242 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000033">Deprecated:</a></b></dt><dd>Use·std::thread·or·std::jthread·instead.</dd></dl>242 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000032">Deprecated:</a></b></dt><dd>Use·std::thread·or·std::jthread·instead.</dd></dl>
243 <dl·class="section·note"><dt>Note</dt><dd>This·class,·function,·or·variable·is·a·template,·and·it·can·only·be·instantiated·if·the·following·condition·is·true:·<div·class="fragment"><div·class="line">(std::invocable&lt;FunctionObjectType&gt;)·</div>243 <dl·class="section·note"><dt>Note</dt><dd>This·class,·function,·or·variable·is·a·template,·and·it·can·only·be·instantiated·if·the·following·condition·is·true:·<div·class="fragment"><div·class="line">(std::invocable&lt;FunctionObjectType&gt;)·</div>
244 </div><!--·fragment·-->·If·your·compiler·supports·the·C++20·standard,·then·this·constraint·will·be·enforced·by·a·<a·href="https://en.cppreference.com/w/cpp/language/constraints">C++20·requires·clause</a>.·</dd></dl>244 </div><!--·fragment·-->·If·your·compiler·supports·the·C++20·standard,·then·this·constraint·will·be·enforced·by·a·<a·href="https://en.cppreference.com/w/cpp/language/constraints">C++20·requires·clause</a>.·</dd></dl>
  
245 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00814">814</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>245 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00814">814</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>
  
246 </div>246 </div>
247 </div>247 </div>
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6438 ··<td·class="mlabels-right">6438 ··<td·class="mlabels-right">
6439 <span·class="mlabels"><span·class="mlabel">static</span></span>··</td>6439 <span·class="mlabels"><span·class="mlabel">static</span></span>··</td>
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6444 </div>6444 </div>
6445 </div>6445 </div>
6446 <a·id="ga1af054329605166c3f8c8cb15ee13d93"·name="ga1af054329605166c3f8c8cb15ee13d93"></a>6446 <a·id="ga1af054329605166c3f8c8cb15ee13d93"·name="ga1af054329605166c3f8c8cb15ee13d93"></a>
6447 <h2·class="memtitle"><span·class="permalink"><a·href="#ga1af054329605166c3f8c8cb15ee13d93">&#9670;&#160;</a></span>ExcGridNotCoarser()</h2>6447 <h2·class="memtitle"><span·class="permalink"><a·href="#ga1af054329605166c3f8c8cb15ee13d93">&#9670;&#160;</a></span>ExcGridNotCoarser()</h2>
  
6448 <div·class="memitem">6448 <div·class="memitem">
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888 ··</td>888 ··</td>
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890 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>890 <span·class="mlabels"><span·class="mlabel">inline</span></span>··</td>
891 ··</tr>891 ··</tr>
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894 <p>Overload·of·the·new_thread·function·for·objects·that·can·be·converted·to·std::function&lt;RT·()&gt;,·i.e.·anything·that·can·be·called·like·a·function·object·without·arguments·and·returning·an·object·of·type·RT·(or·void).</p>894 <p>Overload·of·the·new_thread·function·for·objects·that·can·be·converted·to·std::function&lt;RT·()&gt;,·i.e.·anything·that·can·be·called·like·a·function·object·without·arguments·and·returning·an·object·of·type·RT·(or·void).</p>
895 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000032">Deprecated:</a></b></dt><dd>Use·std::thread·or·std::jthread·instead.</dd></dl>895 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000027">Deprecated:</a></b></dt><dd>Use·std::thread·or·std::jthread·instead.</dd></dl>
  
896 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00731">731</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>896 <p·class="definition">Definition·at·line·<a·class="el"·href="thread__management_8h_source.html#l00731">731</a>·of·file·<a·class="el"·href="thread__management_8h_source.html">thread_management.h</a>.</p>
  
897 </div>897 </div>
898 </div>898 </div>
899 <a·id="gab829d7120c8323855e1d06c21152932f"·name="gab829d7120c8323855e1d06c21152932f"></a>899 <a·id="gab829d7120c8323855e1d06c21152932f"·name="gab829d7120c8323855e1d06c21152932f"></a>
900 <h2·class="memtitle"><span·class="permalink"><a·href="#gab829d7120c8323855e1d06c21152932f">&#9670;&#160;</a></span>new_thread()·<span·class="overload">[2/4]</span></h2>900 <h2·class="memtitle"><span·class="permalink"><a·href="#gab829d7120c8323855e1d06c21152932f">&#9670;&#160;</a></span>new_thread()·<span·class="overload">[2/4]</span></h2>
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2767 ··········<td></td><td></td>2767 ··········<td></td><td></td>
2768 ········</tr>2768 ········</tr>
2769 ······</table>2769 ······</table>
2770 </div><div·class="memdoc">2770 </div><div·class="memdoc">
2771 <p>This·is·the·opposite·function·to·the·one·above.·It·generates·a·map·where·the·keys·are·the·support·points·of·the·degrees·of·freedom,·while·the·values·are·the·DoF·indices.·For·a·definition·of·support·points,·see·this·<a·class="el"·href="DEALGlossary.html#GlossSupport">glossary·entry</a>.</p>2771 <p>This·is·the·opposite·function·to·the·one·above.·It·generates·a·map·where·the·keys·are·the·support·points·of·the·degrees·of·freedom,·while·the·values·are·the·DoF·indices.·For·a·definition·of·support·points,·see·this·<a·class="el"·href="DEALGlossary.html#GlossSupport">glossary·entry</a>.</p>
2772 <p>Since·there·is·no·natural·order·in·the·space·of·points·(except·for·the·1d·case),·you·have·to·provide·a·map·with·an·explicitly·specified·comparator·object.·This·function·is·therefore·templatized·on·the·comparator·object.·Previous·content·of·the·map·object·is·deleted·in·this·function.</p>2772 <p>Since·there·is·no·natural·order·in·the·space·of·points·(except·for·the·1d·case),·you·have·to·provide·a·map·with·an·explicitly·specified·comparator·object.·This·function·is·therefore·templatized·on·the·comparator·object.·Previous·content·of·the·map·object·is·deleted·in·this·function.</p>
2773 <p>Just·as·with·the·function·above,·it·is·assumed·that·the·finite·element·in·use·here·actually·supports·the·notion·of·support·points·of·all·its·components.</p>2773 <p>Just·as·with·the·function·above,·it·is·assumed·that·the·finite·element·in·use·here·actually·supports·the·notion·of·support·points·of·all·its·components.</p>
2774 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000013">Todo:</a></b></dt><dd>This·function·should·generate·a·multimap,·rather·than·just·a·map,·since·several·dofs·may·be·located·at·the·same·support·point.·Currently,·only·the·last·value·in·the·map·returned·by·<a·class="el"·href="namespaceDoFTools.html#a294a1f1cf2c3e437bf889cd1e963c7b7">map_dofs_to_support_points()</a>·for·each·point·will·be·returned.·</dd></dl>2774 <dl·class="todo"><dt><b><a·class="el"·href="todo.html#_todo000011">Todo:</a></b></dt><dd>This·function·should·generate·a·multimap,·rather·than·just·a·map,·since·several·dofs·may·be·located·at·the·same·support·point.·Currently,·only·the·last·value·in·the·map·returned·by·<a·class="el"·href="namespaceDoFTools.html#a294a1f1cf2c3e437bf889cd1e963c7b7">map_dofs_to_support_points()</a>·for·each·point·will·be·returned.·</dd></dl>
  
2775 </div>2775 </div>
2776 </div>2776 </div>
2777 <a·id="a952f50bcd4f8fbb09924626ecc60c605"·name="a952f50bcd4f8fbb09924626ecc60c605"></a>2777 <a·id="a952f50bcd4f8fbb09924626ecc60c605"·name="a952f50bcd4f8fbb09924626ecc60c605"></a>
2778 <h2·class="memtitle"><span·class="permalink"><a·href="#a952f50bcd4f8fbb09924626ecc60c605">&#9670;&#160;</a></span>distribute_cell_to_dof_vector()</h2>2778 <h2·class="memtitle"><span·class="permalink"><a·href="#a952f50bcd4f8fbb09924626ecc60c605">&#9670;&#160;</a></span>distribute_cell_to_dof_vector()</h2>
  
2779 <div·class="memitem">2779 <div·class="memitem">
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241 <div·class="memproto">241 <div·class="memproto">
242 ······<table·class="memname">242 ······<table·class="memname">
243 ········<tr>243 ········<tr>
244 ··········<td·class="memname">using·<a·class="el"·href="namespacePETScWrappers.html#aa0b5f098a8ebad0cc2083c0a4db6b4bb">PETScWrappers::PreconditionerBase</a>·=·typedef·<a·class="el"·href="classPETScWrappers_1_1PreconditionBase.html">PreconditionBase</a></td>244 ··········<td·class="memname">using·<a·class="el"·href="namespacePETScWrappers.html#aa0b5f098a8ebad0cc2083c0a4db6b4bb">PETScWrappers::PreconditionerBase</a>·=·typedef·<a·class="el"·href="classPETScWrappers_1_1PreconditionBase.html">PreconditionBase</a></td>
245 ········</tr>245 ········</tr>
246 ······</table>246 ······</table>
247 </div><div·class="memdoc">247 </div><div·class="memdoc">
248 <p>Alias·for·backwards-compatibility.·</p><dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000106">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classPETScWrappers_1_1PreconditionBase.html">PETScWrappers::PreconditionBase</a>·instead.·</dd></dl>248 <p>Alias·for·backwards-compatibility.·</p><dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000119">Deprecated:</a></b></dt><dd>Use·<a·class="el"·href="classPETScWrappers_1_1PreconditionBase.html">PETScWrappers::PreconditionBase</a>·instead.·</dd></dl>
  
249 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__precondition_8h_source.html#l01167">1167</a>·of·file·<a·class="el"·href="petsc__precondition_8h_source.html">petsc_precondition.h</a>.</p>249 <p·class="definition">Definition·at·line·<a·class="el"·href="petsc__precondition_8h_source.html#l01167">1167</a>·of·file·<a·class="el"·href="petsc__precondition_8h_source.html">petsc_precondition.h</a>.</p>
  
250 </div>250 </div>
251 </div>251 </div>
252 <h2·class="groupheader">Function·Documentation</h2>252 <h2·class="groupheader">Function·Documentation</h2>
253 <a·id="a2725b3d0d7a46579ed0925dc00518610"·name="a2725b3d0d7a46579ed0925dc00518610"></a>253 <a·id="a2725b3d0d7a46579ed0925dc00518610"·name="a2725b3d0d7a46579ed0925dc00518610"></a>
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236 <dl·class="params"><dt>Parameters</dt><dd>236 <dl·class="params"><dt>Parameters</dt><dd>
237 ··<table·class="params">237 ··<table·class="params">
238 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">axis</td><td>A·unit·vector·that·defines·the·axis·of·rotation·</td></tr>238 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">axis</td><td>A·unit·vector·that·defines·the·axis·of·rotation·</td></tr>
239 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">angle</td><td>The·rotation·angle·in·radians··</td></tr>239 ····<tr><td·class="paramdir">[in]</td><td·class="paramname">angle</td><td>The·rotation·angle·in·radians··</td></tr>
240 ··</table>240 ··</table>
241 ··</dd>241 ··</dd>
242 </dl>242 </dl>
243 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000154">Deprecated:</a></b></dt><dd>Use·the·variant·with·a·<a·class="el"·href="classTensor.html">Tensor</a>·as·an·axis.·</dd></dl>243 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000157">Deprecated:</a></b></dt><dd>Use·the·variant·with·a·<a·class="el"·href="classTensor.html">Tensor</a>·as·an·axis.·</dd></dl>
  
244 </div>244 </div>
245 </div>245 </div>
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132 <tr·class="memitem:namespaceinternal"·id="r_namespaceinternal"><td·class="memItemLeft"·align="right"·valign="top">namespace·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="namespaceinternal.html">internal</a></td></tr>132 <tr·class="memitem:namespaceinternal"·id="r_namespaceinternal"><td·class="memItemLeft"·align="right"·valign="top">namespace·&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="namespaceinternal.html">internal</a></td></tr>
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136 Macros</h2></td></tr>136 Macros</h2></td></tr>
137 <tr·class="memitem:a0b51f3ab18bbe95a551cb39fd1f18ceb"·id="r_a0b51f3ab18bbe95a551cb39fd1f18ceb"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="numerics_2solution__transfer_8cc.html#a0b51f3ab18bbe95a551cb39fd1f18ceb">SPLIT_INSTANTIATIONS_COUNT</a>&#160;&#160;&#160;4</td></tr>137 <tr·class="memitem:a0b51f3ab18bbe95a551cb39fd1f18ceb"·id="r_a0b51f3ab18bbe95a551cb39fd1f18ceb"><td·class="memItemLeft"·align="right"·valign="top">#define&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="numerics_2solution__transfer_8cc.html#a0b51f3ab18bbe95a551cb39fd1f18ceb">SPLIT_INSTANTIATIONS_COUNT</a>&#160;&#160;&#160;4</td></tr>
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140 <tr·class="separator:ac91f81592cb244d000bcc4745b4960f4"><td·class="memSeparator"·colspan="2">&#160;</td></tr> 
141 </table><table·class="memberdecls">139 </table><table·class="memberdecls">
142 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="func-members"·name="func-members"></a>140 <tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="func-members"·name="func-members"></a>
143 Functions</h2></td></tr>141 Functions</h2></td></tr>
144 <tr·class="memitem:ae2c47a69c9bd54283910d8f1becd671e"·id="r_ae2c47a69c9bd54283910d8f1becd671e"><td·class="memTemplParams"·colspan="2">template&lt;<a·class="el"·href="classint.html">int</a>·dim,·<a·class="el"·href="classint.html">int</a>·spacedim&gt;·</td></tr>142 <tr·class="memitem:ae2c47a69c9bd54283910d8f1becd671e"·id="r_ae2c47a69c9bd54283910d8f1becd671e"><td·class="memTemplParams"·colspan="2">template&lt;<a·class="el"·href="classint.html">int</a>·dim,·<a·class="el"·href="classint.html">int</a>·spacedim&gt;·</td></tr>
145 <tr·class="memitem:ae2c47a69c9bd54283910d8f1becd671e"><td·class="memTemplItemLeft"·align="right"·valign="top">void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="namespaceinternal.html#ae2c47a69c9bd54283910d8f1becd671e">internal::extract_interpolation_matrices</a>·(const·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>&lt;·dim,·spacedim·&gt;·&amp;dof,·<a·class="el"·href="classTable.html">::Table</a>&lt;·2,·<a·class="el"·href="classFullMatrix.html">FullMatrix</a>&lt;·double·&gt;·&gt;·&amp;matrices)</td></tr>143 <tr·class="memitem:ae2c47a69c9bd54283910d8f1becd671e"><td·class="memTemplItemLeft"·align="right"·valign="top">void&#160;</td><td·class="memTemplItemRight"·valign="bottom"><a·class="el"·href="namespaceinternal.html#ae2c47a69c9bd54283910d8f1becd671e">internal::extract_interpolation_matrices</a>·(const·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>&lt;·dim,·spacedim·&gt;·&amp;dof,·<a·class="el"·href="classTable.html">::Table</a>&lt;·2,·<a·class="el"·href="classFullMatrix.html">FullMatrix</a>&lt;·double·&gt;·&gt;·&amp;matrices)</td></tr>
146 <tr·class="separator:ae2c47a69c9bd54283910d8f1becd671e"><td·class="memSeparator"·colspan="2">&#160;</td></tr>144 <tr·class="separator:ae2c47a69c9bd54283910d8f1becd671e"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
147 <tr·class="memitem:a9a040f8edbcebf839200b94925b8066f"·id="r_a9a040f8edbcebf839200b94925b8066f"><td·class="memTemplParams"·colspan="2">template&lt;<a·class="el"·href="classint.html">int</a>·dim,·<a·class="el"·href="classint.html">int</a>·spacedim&gt;·</td></tr>145 <tr·class="memitem:a9a040f8edbcebf839200b94925b8066f"·id="r_a9a040f8edbcebf839200b94925b8066f"><td·class="memTemplParams"·colspan="2">template&lt;<a·class="el"·href="classint.html">int</a>·dim,·<a·class="el"·href="classint.html">int</a>·spacedim&gt;·</td></tr>
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752 <div·class="line"><a·id="l00632"·name="l00632"></a><span·class="lineno">··632</span>}</div>752 <div·class="line"><a·id="l00632"·name="l00632"></a><span·class="lineno">··632</span>}</div>
753 </div>753 </div>
754 <div·class="line"><a·id="l00633"·name="l00633"></a><span·class="lineno">··633</span>·</div>754 <div·class="line"><a·id="l00633"·name="l00633"></a><span·class="lineno">··633</span>·</div>
755 <div·class="line"><a·id="l00634"·name="l00634"></a><span·class="lineno">··634</span>·</div>755 <div·class="line"><a·id="l00634"·name="l00634"></a><span·class="lineno">··634</span>·</div>
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764 <div·class="ttc"·id="ablock__vector_8h_html"><div·class="ttname"><a·href="block__vector_8h.html">block_vector.h</a></div></div>764 <div·class="ttc"·id="ablock__vector_8h_html"><div·class="ttname"><a·href="block__vector_8h.html">block_vector.h</a></div></div>
765 <div·class="ttc"·id="aclassDoFHandler_html"><div·class="ttname"><a·href="classDoFHandler.html">DoFHandler</a></div><div·class="ttdef"><b>Definition</b>·<a·href="dof__handler_8h_source.html#l00317">dof_handler.h:318</a></div></div>765 <div·class="ttc"·id="aclassDoFHandler_html"><div·class="ttname"><a·href="classDoFHandler.html">DoFHandler</a></div><div·class="ttdef"><b>Definition</b>·<a·href="dof__handler_8h_source.html#l00317">dof_handler.h:318</a></div></div>
766 <div·class="ttc"·id="aclassDoFHandler_html_a2f4ea834a8204a862694e78f0b701352"><div·class="ttname"><a·href="classDoFHandler.html#a2f4ea834a8204a862694e78f0b701352">DoFHandler::get_fe_collection</a></div><div·class="ttdeci">const·hp::FECollection&lt;·dim,·spacedim·&gt;·&amp;·get_fe_collection()·const</div></div>766 <div·class="ttc"·id="aclassDoFHandler_html_a2f4ea834a8204a862694e78f0b701352"><div·class="ttname"><a·href="classDoFHandler.html#a2f4ea834a8204a862694e78f0b701352">DoFHandler::get_fe_collection</a></div><div·class="ttdeci">const·hp::FECollection&lt;·dim,·spacedim·&gt;·&amp;·get_fe_collection()·const</div></div>
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231 ··&amp;&amp;\forall·\mathbf·x·\in·\partial\Omega.231 ··&amp;&amp;\forall·\mathbf·x·\in·\partial\Omega.
232 \end{align*}232 \end{align*}
233 </p>233 </p>
234 <p>·The·same·trick·with·the·mixed·system·does·not·work·here,·because·we·would·end·up·with·<em>both</em>·Dirichlet·and·Neumann·boundary·conditions·for·\(u\),·but·none·for·\(v\).</p>234 <p>·The·same·trick·with·the·mixed·system·does·not·work·here,·because·we·would·end·up·with·<em>both</em>·Dirichlet·and·Neumann·boundary·conditions·for·\(u\),·but·none·for·\(v\).</p>
235 <p>The·solution·to·this·conundrum·arrived·with·the·Discontinuous·Galerkin·method·wave·in·the·1990s·and·early·2000s:·In·much·the·same·way·as·one·can·use·<em>discontinuous</em>·shape·functions·for·the·Laplace·equation·by·penalizing·the·size·of·the·discontinuity·to·obtain·a·scheme·for·an·equation·that·has·one·derivative·on·each·shape·function,·we·can·use·a·scheme·that·uses·<em>continuous</em>·(but·not·\(C^1\)·continuous)·shape·functions·and·penalize·the·jump·in·the·derivative·to·obtain·a·scheme·for·an·equation·that·has·two·derivatives·on·each·shape·function.·In·analogy·to·the·Interior·Penalty·(IP)·method·for·the·Laplace·equation,·this·scheme·for·the·biharmonic·equation·is·typically·called·the·\(C^0\)·IP·(or·C0IP)·method,·since·it·uses·\(C^0\)·(continuous·but·not·continuously·differentiable)·shape·functions·with·an·interior·penalty·formulation.</p>235 <p>The·solution·to·this·conundrum·arrived·with·the·Discontinuous·Galerkin·method·wave·in·the·1990s·and·early·2000s:·In·much·the·same·way·as·one·can·use·<em>discontinuous</em>·shape·functions·for·the·Laplace·equation·by·penalizing·the·size·of·the·discontinuity·to·obtain·a·scheme·for·an·equation·that·has·one·derivative·on·each·shape·function,·we·can·use·a·scheme·that·uses·<em>continuous</em>·(but·not·\(C^1\)·continuous)·shape·functions·and·penalize·the·jump·in·the·derivative·to·obtain·a·scheme·for·an·equation·that·has·two·derivatives·on·each·shape·function.·In·analogy·to·the·Interior·Penalty·(IP)·method·for·the·Laplace·equation,·this·scheme·for·the·biharmonic·equation·is·typically·called·the·\(C^0\)·IP·(or·C0IP)·method,·since·it·uses·\(C^0\)·(continuous·but·not·continuously·differentiable)·shape·functions·with·an·interior·penalty·formulation.</p>
236 <p>It·is·worth·noting·that·the·C0IP·method·is·not·the·only·one·that·has·been·developed·for·the·biharmonic·equation.·<a·class="el"·href="step_82.html">step-82</a>·shows·an·alternative·method.</p>236 <p>It·is·worth·noting·that·the·C0IP·method·is·not·the·only·one·that·has·been·developed·for·the·biharmonic·equation.·<a·class="el"·href="step_82.html">step-82</a>·shows·an·alternative·method.</p>
237 <p><a·class="anchor"·id="DerivationoftheC0IPmethod"></a></p><h3>Derivation·of·the·C0IP·method·</h3>237 <p><a·class="anchor"·id="DerivationoftheC0IPmethod"></a></p><h3>Derivation·of·the·C0IP·method·</h3>
238 <p>We·base·this·program·on·the·\(C^0\)·IP·method·presented·by·Susanne·Brenner·and·Li-Yeng·Sung·in·the·paper·"C·\_form#5256·Interior·Penalty·Method238 <p>We·base·this·program·on·the·\(C^0\)·IP·method·presented·by·Susanne·Brenner·and·Li-Yeng·Sung·in·the·paper·"C·\_form#5291·Interior·Penalty·Method
239 for·Linear·Fourth·Order·Boundary·Value·Problems·on·polygonal239 for·Linear·Fourth·Order·Boundary·Value·Problems·on·polygonal
240 domains"·<b>[Brenner2005]</b>·where·the·method·is·derived·for·the·biharmonic·equation·with·"clamped"·boundary·conditions.</p>240 domains"·<b>[Brenner2005]</b>·where·the·method·is·derived·for·the·biharmonic·equation·with·"clamped"·boundary·conditions.</p>
241 <p>As·mentioned,·this·method·relies·on·the·use·of·\(C^0\)·Lagrange·finite·elements·where·the·\(C^1\)·continuity·requirement·is·relaxed·and·has·been·replaced·with·interior·penalty·techniques.·To·derive·this·method,·we·consider·a·\(C^0\)·shape·function·\(v_h\)·which·vanishes·on·\(\partial\Omega\).·We·introduce·notation·\(·\mathbb{F}·\)·as·the·set·of·all·faces·of·\(\mathbb{T}\),·\(·\mathbb{F}^b·\)·as·the·set·of·boundary·faces,·and·\(·\mathbb{F}^i·\)·as·the·set·of·interior·faces·for·use·further·down·below.·Since·the·higher·order·derivatives·of·\(v_h\)·have·two·values·on·each·interface·\(e\in·\mathbb{F}\)·(shared·by·the·two·cells·\(K_{+},K_{-}·\in·\mathbb{T}\)),·we·cope·with·this·discontinuity·by·defining·the·following·single-valued·functions·on·\(e\):··</p><p·class="formulaDsp">241 <p>As·mentioned,·this·method·relies·on·the·use·of·\(C^0\)·Lagrange·finite·elements·where·the·\(C^1\)·continuity·requirement·is·relaxed·and·has·been·replaced·with·interior·penalty·techniques.·To·derive·this·method,·we·consider·a·\(C^0\)·shape·function·\(v_h\)·which·vanishes·on·\(\partial\Omega\).·We·introduce·notation·\(·\mathbb{F}·\)·as·the·set·of·all·faces·of·\(\mathbb{T}\),·\(·\mathbb{F}^b·\)·as·the·set·of·boundary·faces,·and·\(·\mathbb{F}^i·\)·as·the·set·of·interior·faces·for·use·further·down·below.·Since·the·higher·order·derivatives·of·\(v_h\)·have·two·values·on·each·interface·\(e\in·\mathbb{F}\)·(shared·by·the·two·cells·\(K_{+},K_{-}·\in·\mathbb{T}\)),·we·cope·with·this·discontinuity·by·defining·the·following·single-valued·functions·on·\(e\):··</p><p·class="formulaDsp">
242 \begin{align*}242 \begin{align*}
243 ··\jump{\frac{\partial^k·v_h}{\partial·\mathbf·n^k}}243 ··\jump{\frac{\partial^k·v_h}{\partial·\mathbf·n^k}}
244 ··&amp;=244 ··&amp;=
245 ··\frac{\partial^k·v_h|_{K_+}}{\partial·\mathbf·n^k}·\bigg·|_e245 ··\frac{\partial^k·v_h|_{K_+}}{\partial·\mathbf·n^k}·\bigg·|_e
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567 ··+567 ··+
568 ··V·\left[\frac·12·\left(\psi^{(n,2)}+\psi^{(n,1)}\right)\right]·=·0.568 ··V·\left[\frac·12·\left(\psi^{(n,2)}+\psi^{(n,1)}\right)\right]·=·0.
569 \end{align*}569 \end{align*}
570 </p>570 </p>
571 <p>·Here,·the·"previous"·solution·\(\psi^{(n,1)}\)·(or·the·"initial571 <p>·Here,·the·"previous"·solution·\(\psi^{(n,1)}\)·(or·the·"initial
572 condition"·for·this·part·of·the·time·step)·is·the·output·of·the·first·phase·rotation·half-step;·the·output·of·the·current·step·will·be·denoted·by·\(\psi^{(n,2)}\).·\(k_{n+1}=t_{n+1}-t_n\)·is·the·length·of·the·time·step.·(One·could·argue·whether·\(\psi^{(n,1)}\)·and·\(\psi^{(n,1)}\)·live·at·time·step·\(n\)·or·\(n+1\)·and·what·their·upper·indices·should·be.·This·is·a·philosophical·discussion·without·practical·impact,·and·one·might·think·of·\(\psi^{(n,1)}\)·as·something·like·\(\psi^{(n+\tfrac·13)}\),·and·\(\psi^{(n,2)}\)·as·\(\psi^{(n+\tfrac·23)}\)·if·that·helps·clarify·things·&ndash;·though,·again·\(n+\frac·13\)·is·not·to·be·understood·as·"one·third·time·step·after572 condition"·for·this·part·of·the·time·step)·is·the·output·of·the·first·phase·rotation·half-step;·the·output·of·the·current·step·will·be·denoted·by·\(\psi^{(n,2)}\).·\(k_{n+1}=t_{n+1}-t_n\)·is·the·length·of·the·time·step.·(One·could·argue·whether·\(\psi^{(n,1)}\)·and·\(\psi^{(n,1)}\)·live·at·time·step·\(n\)·or·\(n+1\)·and·what·their·upper·indices·should·be.·This·is·a·philosophical·discussion·without·practical·impact,·and·one·might·think·of·\(\psi^{(n,1)}\)·as·something·like·\(\psi^{(n+\tfrac·13)}\),·and·\(\psi^{(n,2)}\)·as·\(\psi^{(n+\tfrac·23)}\)·if·that·helps·clarify·things·&ndash;·though,·again·\(n+\frac·13\)·is·not·to·be·understood·as·"one·third·time·step·after
573 ·\_form#393"·but·more·like·"we've·already·done·one·third·of·the·work·necessary573 ·\_form#393"·but·more·like·"we've·already·done·one·third·of·the·work·necessary
574 for·time·step·\_form#2972".)</p>574 for·time·step·\_form#3055".)</p>
575 <p>If·we·multiply·the·whole·equation·with·\(k_{n+1}\)·and·sort·terms·with·the·unknown·\(\psi^{(n+1,2)}\)·to·the·left·and·those·with·the·known·\(\psi^{(n,2)}\)·to·the·right,·then·we·obtain·the·following·(spatial)·partial·differential·equation·that·needs·to·be·solved·in·each·time·step:··</p><p·class="formulaDsp">575 <p>If·we·multiply·the·whole·equation·with·\(k_{n+1}\)·and·sort·terms·with·the·unknown·\(\psi^{(n+1,2)}\)·to·the·left·and·those·with·the·known·\(\psi^{(n,2)}\)·to·the·right,·then·we·obtain·the·following·(spatial)·partial·differential·equation·that·needs·to·be·solved·in·each·time·step:··</p><p·class="formulaDsp">
576 \begin{align*}576 \begin{align*}
577 ··-i\psi^{(n,2)}577 ··-i\psi^{(n,2)}
578 ··-578 ··-
579 ··\frac·14·k_{n+1}·\Delta·\psi^{(n,2)}579 ··\frac·14·k_{n+1}·\Delta·\psi^{(n,2)}
580 ··+580 ··+
581 ··\frac·12·k_{n+1}·V·\psi^{(n,2)}581 ··\frac·12·k_{n+1}·V·\psi^{(n,2)}
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118 <tr·class="memitem:ade1a4daf474d9b4127c9c27151c9b27b"·id="r_ade1a4daf474d9b4127c9c27151c9b27b"><td·class="memItemLeft"·align="right"·valign="top">using&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="structFEValuesViews_1_1Scalar_1_1OutputType.html#ade1a4daf474d9b4127c9c27151c9b27b">third_derivative_type</a>·=·typename·<a·class="el"·href="structProductType.html">ProductType</a>&lt;·Number,·typename·<a·class="el"·href="classFEValuesViews_1_1Scalar.html">Scalar</a>&lt;·dim,·spacedim·&gt;::third_derivative_type·&gt;::type</td></tr>118 <tr·class="memitem:ade1a4daf474d9b4127c9c27151c9b27b"·id="r_ade1a4daf474d9b4127c9c27151c9b27b"><td·class="memItemLeft"·align="right"·valign="top">using&#160;</td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="structFEValuesViews_1_1Scalar_1_1OutputType.html#ade1a4daf474d9b4127c9c27151c9b27b">third_derivative_type</a>·=·typename·<a·class="el"·href="structProductType.html">ProductType</a>&lt;·Number,·typename·<a·class="el"·href="classFEValuesViews_1_1Scalar.html">Scalar</a>&lt;·dim,·spacedim·&gt;::third_derivative_type·&gt;::type</td></tr>
119 <tr·class="separator:ade1a4daf474d9b4127c9c27151c9b27b"><td·class="memSeparator"·colspan="2">&#160;</td></tr>119 <tr·class="separator:ade1a4daf474d9b4127c9c27151c9b27b"><td·class="memSeparator"·colspan="2">&#160;</td></tr>
120 </table>120 </table>
121 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>121 <a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
122 <div·class="textblock"><div·class="compoundTemplParams">template&lt;<a·class="el"·href="classint.html">int</a>·dim,·<a·class="el"·href="classint.html">int</a>·spacedim·=·dim&gt;<br·/>122 <div·class="textblock"><div·class="compoundTemplParams">template&lt;<a·class="el"·href="classint.html">int</a>·dim,·<a·class="el"·href="classint.html">int</a>·spacedim·=·dim&gt;<br·/>
123 template&lt;typename·Number&gt;<br·/>123 template&lt;typename·Number&gt;<br·/>
124 struct·FEValuesViews::Scalar&lt;·dim,·spacedim·&gt;::OutputType&lt;·Number·&gt;</div><p>A·struct·that·provides·the·output·type·for·the·product·of·the·value·and·derivatives·of·basis·functions·of·the·<a·class="el"·href="classFEValuesViews_1_1Scalar.html">Scalar</a>·view·and·any·<code>Number</code>·type.</p>124 struct·FEValuesViews::Scalar&lt;·dim,·spacedim·&gt;::OutputType&lt;·Number·&gt;</div><p>A·struct·that·provides·the·output·type·for·the·product·of·the·value·and·derivatives·of·basis·functions·of·the·<a·class="el"·href="classFEValuesViews_1_1Scalar.html">Scalar</a>·view·and·any·<code>Number</code>·type.</p>
125 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000057">Deprecated:</a></b></dt><dd>Use·the·types·defined·in·the·surrounding·class·instead.·</dd></dl>125 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000059">Deprecated:</a></b></dt><dd>Use·the·types·defined·in·the·surrounding·class·instead.·</dd></dl>
  
126 <p·class="definition">Definition·at·line·<a·class="el"·href="fe_2fe__values_8h_source.html#l00234">234</a>·of·file·<a·class="el"·href="fe_2fe__values_8h_source.html">fe_values.h</a>.</p>126 <p·class="definition">Definition·at·line·<a·class="el"·href="fe_2fe__values_8h_source.html#l00234">234</a>·of·file·<a·class="el"·href="fe_2fe__values_8h_source.html">fe_values.h</a>.</p>
127 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>127 </div><h2·class="groupheader">Member·Typedef·Documentation</h2>
128 <a·id="a8469a55075e7addcba2d31847b07a1ce"·name="a8469a55075e7addcba2d31847b07a1ce"></a>128 <a·id="a8469a55075e7addcba2d31847b07a1ce"·name="a8469a55075e7addcba2d31847b07a1ce"></a>
129 <h2·class="memtitle"><span·class="permalink"><a·href="#a8469a55075e7addcba2d31847b07a1ce">&#9670;&#160;</a></span>value_type</h2>129 <h2·class="memtitle"><span·class="permalink"><a·href="#a8469a55075e7addcba2d31847b07a1ce">&#9670;&#160;</a></span>value_type</h2>
  
130 <div·class="memitem">130 <div·class="memitem">
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436 <p></p>436 <p></p>
437 <p>This·signal·is·triggered·for·each·cell·during·every·automatic·or·manual·repartitioning.·It·is·intended·to·allow·a·weighted·repartitioning·of·the·domain·to·balance·the·computational·load·across·processes·in·a·different·way·than·balancing·the·number·of·cells.·Any·connected·function·is·expected·to·take·an·iterator·to·a·cell,·and·a·CellStatus·argument·that·indicates·whether·this·cell·is·going·to·be·refined,·coarsened·or·left·untouched·(see·the·documentation·of·the·CellStatus·enum·for·more·information).·The·function·is·expected·to·return·an·unsigned·integer,·which·is·interpreted·as·the·additional·computational·load·of·this·cell.</p>437 <p>This·signal·is·triggered·for·each·cell·during·every·automatic·or·manual·repartitioning.·It·is·intended·to·allow·a·weighted·repartitioning·of·the·domain·to·balance·the·computational·load·across·processes·in·a·different·way·than·balancing·the·number·of·cells.·Any·connected·function·is·expected·to·take·an·iterator·to·a·cell,·and·a·CellStatus·argument·that·indicates·whether·this·cell·is·going·to·be·refined,·coarsened·or·left·untouched·(see·the·documentation·of·the·CellStatus·enum·for·more·information).·The·function·is·expected·to·return·an·unsigned·integer,·which·is·interpreted·as·the·additional·computational·load·of·this·cell.</p>
438 <p>In·serial·and·parallel·shared·applications,·partitioning·happens·after·refinement.·So·all·cells·will·have·the·<code>CELL_PERSIST</code>·status.</p>438 <p>In·serial·and·parallel·shared·applications,·partitioning·happens·after·refinement.·So·all·cells·will·have·the·<code>CELL_PERSIST</code>·status.</p>
439 <p>In·parallel·distributed·applications,·partitioning·happens·during·refinement.·If·this·cell·is·going·to·be·coarsened,·the·signal·is·called·for·the·parent·cell·and·you·need·to·provide·the·weight·of·the·future·parent·cell.·If·this·cell·is·going·to·be·refined,·the·function·is·called·on·all·children·while·<code>cell_iterator</code>·refers·to·their·parent·cell.·In·this·case,·you·need·to·pick·a·weight·for·each·individual·child·based·on·information·given·by·the·parent·cell.</p>439 <p>In·parallel·distributed·applications,·partitioning·happens·during·refinement.·If·this·cell·is·going·to·be·coarsened,·the·signal·is·called·for·the·parent·cell·and·you·need·to·provide·the·weight·of·the·future·parent·cell.·If·this·cell·is·going·to·be·refined,·the·function·is·called·on·all·children·while·<code>cell_iterator</code>·refers·to·their·parent·cell.·In·this·case,·you·need·to·pick·a·weight·for·each·individual·child·based·on·information·given·by·the·parent·cell.</p>
440 <p>If·several·functions·are·connected·to·this·signal,·their·return·values·will·be·summed·to·calculate·the·final·weight·of·a·cell.·This·allows·different·parts·of·a·larger·code·base·to·have·their·own·functions·computing·the·weight·of·a·cell;·for·example·in·a·code·that·does·both·finite·element·and·particle·computations·on·each·cell,·the·code·could·separate·the·computation·of·a·cell's·weight·into·two·functions,·each·implemented·in·their·respective·files,·that·provide·the·finite·element-based·and·the·particle-based·weights.</p>440 <p>If·several·functions·are·connected·to·this·signal,·their·return·values·will·be·summed·to·calculate·the·final·weight·of·a·cell.·This·allows·different·parts·of·a·larger·code·base·to·have·their·own·functions·computing·the·weight·of·a·cell;·for·example·in·a·code·that·does·both·finite·element·and·particle·computations·on·each·cell,·the·code·could·separate·the·computation·of·a·cell's·weight·into·two·functions,·each·implemented·in·their·respective·files,·that·provide·the·finite·element-based·and·the·particle-based·weights.</p>
441 <p>This·function·is·used·in·<a·class="el"·href="step_68.html">step-68</a>·and·implicitly·in·<a·class="el"·href="step_75.html">step-75</a>·using·the·<a·class="el"·href="classparallel_1_1CellWeights.html">parallel::CellWeights</a>·class.··</p>441 <p>This·function·is·used·in·<a·class="el"·href="step_68.html">step-68</a>·and·implicitly·in·<a·class="el"·href="step_75.html">step-75</a>·using·the·<a·class="el"·href="classparallel_1_1CellWeights.html">parallel::CellWeights</a>·class.··</p>
442 <p>As·a·reference,·a·value·of·1000·is·added·for·every·cell·to·the·total·weight.·This·means·a·signal·return·value·of·1000·(resulting·in·a·weight·of·2000)·means·that·it·is·twice·as·expensive·for·a·process·to·handle·this·particular·cell.</p>442 <p>As·a·reference,·a·value·of·1000·is·added·for·every·cell·to·the·total·weight.·This·means·a·signal·return·value·of·1000·(resulting·in·a·weight·of·2000)·means·that·it·is·twice·as·expensive·for·a·process·to·handle·this·particular·cell.</p>
443 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000094">Deprecated:</a></b></dt><dd>Use·the·<code>weight</code>·signal·instead·which·omits·the·base·weight.·You·can·invoke·the·old·behavior·by·connecting·a·function·to·the·signal·that·returns·the·base·weight·as·follows.·This·function·should·be·added·<em>in·addition</em>·to·the·one·that·actually·computes·the·weight.·</dd></dl>443 <dl·class="deprecated"><dt><b><a·class="el"·href="deprecated.html#_deprecated000089">Deprecated:</a></b></dt><dd>Use·the·<code>weight</code>·signal·instead·which·omits·the·base·weight.·You·can·invoke·the·old·behavior·by·connecting·a·function·to·the·signal·that·returns·the·base·weight·as·follows.·This·function·should·be·added·<em>in·addition</em>·to·the·one·that·actually·computes·the·weight.·</dd></dl>
444 <div·class="fragment"><div·class="line"><a·class="code·hl_variable"·href="p4est__wrappers_8cc.html#ace00f2f80d9780ef9aa1007e1c22c6a4">triangulation</a>.signals.weight.connect(</div>444 <div·class="fragment"><div·class="line"><a·class="code·hl_variable"·href="p4est__wrappers_8cc.html#ace00f2f80d9780ef9aa1007e1c22c6a4">triangulation</a>.signals.weight.connect(</div>
445 <div·class="line">··[](<span·class="keyword">const</span>·<span·class="keyword">typename</span>·<a·class="code·hl_class"·href="classTriaIterator.html">Triangulation&lt;dim&gt;::cell_iterator</a>·&amp;,</div>445 <div·class="line">··[](<span·class="keyword">const</span>·<span·class="keyword">typename</span>·<a·class="code·hl_class"·href="classTriaIterator.html">Triangulation&lt;dim&gt;::cell_iterator</a>·&amp;,</div>
446 <div·class="line">·····<span·class="keyword">const</span>·<span·class="keyword">typename</span>·<a·class="code·hl_enumeration"·href="classTriangulation.html#a1f047c753e5299ed179b042b1d014ee2">Triangulation&lt;dim&gt;::CellStatus</a>)</div>446 <div·class="line">·····<span·class="keyword">const</span>·<span·class="keyword">typename</span>·<a·class="code·hl_enumeration"·href="classTriangulation.html#a1f047c753e5299ed179b042b1d014ee2">Triangulation&lt;dim&gt;::CellStatus</a>)</div>
447 <div·class="line">····-&gt;·<span·class="keywordtype">unsigned</span>·<span·class="keywordtype">int</span>·{·<span·class="keywordflow">return</span>·1000;·});</div>447 <div·class="line">····-&gt;·<span·class="keywordtype">unsigned</span>·<span·class="keywordtype">int</span>·{·<span·class="keywordflow">return</span>·1000;·});</div>
448 <div·class="ttc"·id="aclassTriaIterator_html"><div·class="ttname"><a·href="classTriaIterator.html">TriaIterator</a></div><div·class="ttdef"><b>Definition</b>·<a·href="tria__iterator_8h_source.html#l00578">tria_iterator.h:579</a></div></div>448 <div·class="ttc"·id="aclassTriaIterator_html"><div·class="ttname"><a·href="classTriaIterator.html">TriaIterator</a></div><div·class="ttdef"><b>Definition</b>·<a·href="tria__iterator_8h_source.html#l00578">tria_iterator.h:579</a></div></div>
449 <div·class="ttc"·id="aclassTriangulation_html_a1f047c753e5299ed179b042b1d014ee2"><div·class="ttname"><a·href="classTriangulation.html#a1f047c753e5299ed179b042b1d014ee2">Triangulation::CellStatus</a></div><div·class="ttdeci">CellStatus</div><div·class="ttdef"><b>Definition</b>·<a·href="grid_2tria_8h_source.html#l02056">tria.h:2057</a></div></div>449 <div·class="ttc"·id="aclassTriangulation_html_a1f047c753e5299ed179b042b1d014ee2"><div·class="ttname"><a·href="classTriangulation.html#a1f047c753e5299ed179b042b1d014ee2">Triangulation::CellStatus</a></div><div·class="ttdeci">CellStatus</div><div·class="ttdef"><b>Definition</b>·<a·href="grid_2tria_8h_source.html#l02056">tria.h:2057</a></div></div>
450 <div·class="ttc"·id="ap4est__wrappers_8cc_html_ace00f2f80d9780ef9aa1007e1c22c6a4"><div·class="ttname"><a·href="p4est__wrappers_8cc.html#ace00f2f80d9780ef9aa1007e1c22c6a4">triangulation</a></div><div·class="ttdeci">const·::parallel::distributed::Triangulation&lt;·dim,·spacedim·&gt;·*·triangulation</div><div·class="ttdef"><b>Definition</b>·<a·href="p4est__wrappers_8cc_source.html#l00069">p4est_wrappers.cc:69</a></div></div>450 <div·class="ttc"·id="ap4est__wrappers_8cc_html_ace00f2f80d9780ef9aa1007e1c22c6a4"><div·class="ttname"><a·href="p4est__wrappers_8cc.html#ace00f2f80d9780ef9aa1007e1c22c6a4">triangulation</a></div><div·class="ttdeci">const·::parallel::distributed::Triangulation&lt;·dim,·spacedim·&gt;·*·triangulation</div><div·class="ttdef"><b>Definition</b>·<a·href="p4est__wrappers_8cc_source.html#l00069">p4est_wrappers.cc:69</a></div></div>
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93 </div><!--·top·-->93 </div><!--·top·-->
94 <div><div·class="header">94 <div><div·class="header">
95 ··<div·class="headertitle"><div·class="title">Todo·List</div></div>95 ··<div·class="headertitle"><div·class="title">Todo·List</div></div>
96 </div><!--header-->96 </div><!--header-->
97 <div·class="contents">97 <div·class="contents">
98 <div·class="textblock"><dl·class="reflist">98 <div·class="textblock"><dl·class="reflist">
99 <dt>Class·<a·class="el"·href="classAlgorithms_1_1OperatorBase.html">Algorithms::OperatorBase</a>··</dt>99 <dt>Class·<a·class="el"·href="classAlgorithms_1_1OperatorBase.html">Algorithms::OperatorBase</a>··</dt>
100 <dd><a·class="anchor"·id="_todo000002"></a>Update·this·documentation·and·the·one·of·Operator·</dd>100 <dd><a·class="anchor"·id="_todo000001"></a>Update·this·documentation·and·the·one·of·Operator·</dd>
101 <dt>Class·<a·class="el"·href="classAnyData.html">AnyData</a>··</dt>101 <dt>Class·<a·class="el"·href="classAnyData.html">AnyData</a>··</dt>
102 <dd><a·class="anchor"·id="_todo000001"></a>GK:·Deprecate·access·to·<a·class="el"·href="classAnyData.html">AnyData</a>·by·index·and·change·to·a·map.··</dd>102 <dd><a·class="anchor"·id="_todo000002"></a>GK:·Deprecate·access·to·<a·class="el"·href="classAnyData.html">AnyData</a>·by·index·and·change·to·a·map.··</dd>
103 <dt>Class·<a·class="el"·href="classBlockInfo.html">BlockInfo</a>··</dt>103 <dt>Class·<a·class="el"·href="classBlockInfo.html">BlockInfo</a>··</dt>
104 <dd><a·class="anchor"·id="_todo000006"></a>Extend·the·functions·<a·class="el"·href="classBlockInfo.html#acb3a36ef4badb3fa8607b2b85b2489de">local()</a>·and·<a·class="el"·href="classBlockInfo.html#a91ae8cd1be54ce3c303485b0b0ed2536">renumber()</a>·to·allow·for·hp-capablilites.·</dd>104 <dd><a·class="anchor"·id="_todo000006"></a>Extend·the·functions·<a·class="el"·href="classBlockInfo.html#acb3a36ef4badb3fa8607b2b85b2489de">local()</a>·and·<a·class="el"·href="classBlockInfo.html#a91ae8cd1be54ce3c303485b0b0ed2536">renumber()</a>·to·allow·for·hp-capablilites.·</dd>
105 <dt>Class·<a·class="el"·href="classBlockSparsityPatternBase.html">BlockSparsityPatternBase&lt;·SparsityPatternType·&gt;</a>··</dt>105 <dt>Class·<a·class="el"·href="classBlockSparsityPatternBase.html">BlockSparsityPatternBase&lt;·SparsityPatternType·&gt;</a>··</dt>
106 <dd><a·class="anchor"·id="_todo000026"></a>Handle·optimization·of·diagonal·elements·of·the·underlying·<a·class="el"·href="classSparsityPattern.html">SparsityPattern</a>·correctly.·</dd>106 <dd><a·class="anchor"·id="_todo000026"></a>Handle·optimization·of·diagonal·elements·of·the·underlying·<a·class="el"·href="classSparsityPattern.html">SparsityPattern</a>·correctly.·</dd>
107 <dt>Class·<a·class="el"·href="classDataOutFaces.html">DataOutFaces&lt;·dim,·spacedim·&gt;</a>··</dt>107 <dt>Class·<a·class="el"·href="classDataOutFaces.html">DataOutFaces&lt;·dim,·spacedim·&gt;</a>··</dt>
108 <dd><a·class="anchor"·id="_todo000036"></a>Reimplement·this·whole·class·using·actual·<a·class="el"·href="classFEFaceValues.html">FEFaceValues</a>·and·<a·class="el"·href="namespaceMeshWorker.html">MeshWorker</a>.·</dd>108 <dd><a·class="anchor"·id="_todo000036"></a>Reimplement·this·whole·class·using·actual·<a·class="el"·href="classFEFaceValues.html">FEFaceValues</a>·and·<a·class="el"·href="namespaceMeshWorker.html">MeshWorker</a>.·</dd>
109 <dt>Member·<a·class="el"·href="classDataOutFaces.html#a01b4bc35f4ec57f4a2141e59298e9f42">DataOutFaces&lt;·dim,·spacedim·&gt;::build_patches</a>··(const·<a·class="el"·href="classMapping.html">Mapping&lt;·dim,·spacedim·&gt;</a>·&amp;mapping,·const·unsigned·int·n_subdivisions=0)</dt>109 <dt>Member·<a·class="el"·href="classDataOutFaces.html#a01b4bc35f4ec57f4a2141e59298e9f42">DataOutFaces&lt;·dim,·spacedim·&gt;::build_patches</a>··(const·<a·class="el"·href="classMapping.html">Mapping&lt;·dim,·spacedim·&gt;</a>·&amp;mapping,·const·unsigned·int·n_subdivisions=0)</dt>
110 <dd><a·class="anchor"·id="_todo000037"></a>The·<code>mapping</code>·argument·should·be·replaced·by·a·<a·class="el"·href="classhp_1_1MappingCollection.html">hp::MappingCollection</a>·in·case·of·a·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>·with·hp-capabilities.··</dd>110 <dd><a·class="anchor"·id="_todo000037"></a>The·<code>mapping</code>·argument·should·be·replaced·by·a·<a·class="el"·href="classhp_1_1MappingCollection.html">hp::MappingCollection</a>·in·case·of·a·<a·class="el"·href="classDoFHandler.html">DoFHandler</a>·with·hp-capabilities.··</dd>
111 <dt>Class·<a·class="el"·href="classDifferentiation_1_1AD_1_1HelperBase.html">Differentiation::AD::HelperBase&lt;·ADNumberTypeCode,·ScalarType·&gt;</a>··</dt>111 <dt>Class·<a·class="el"·href="classDifferentiation_1_1AD_1_1HelperBase.html">Differentiation::AD::HelperBase&lt;·ADNumberTypeCode,·ScalarType·&gt;</a>··</dt>
112 <dd><a·class="anchor"·id="_todo000005"></a>Make·this·class·thread·safe·for·Sacado·number·and·ADOL-C·tapeless·numbers·(if·supported).··</dd>112 <dd><a·class="anchor"·id="_todo000005"></a>Make·this·class·thread·safe·for·Sacado·number·and·ADOL-C·tapeless·numbers·(if·supported).··</dd>
113 <dt>Member·<a·class="el"·href="group__Exceptions.html#gabbb9a9d5e6817248657be42b69290721">DoFTools::ExcFiniteElementsDontMatch</a>··()</dt>113 <dt>Member·<a·class="el"·href="group__Exceptions.html#gabbb9a9d5e6817248657be42b69290721">DoFTools::ExcFiniteElementsDontMatch</a>··()</dt>
114 <dd><a·class="anchor"·id="_todo000014"></a>Write·description·</dd>114 <dd><a·class="anchor"·id="_todo000012"></a>Write·description·</dd>
115 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga1af054329605166c3f8c8cb15ee13d93">DoFTools::ExcGridNotCoarser</a>··()</dt>115 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga1af054329605166c3f8c8cb15ee13d93">DoFTools::ExcGridNotCoarser</a>··()</dt>
116 <dd><a·class="anchor"·id="_todo000015"></a>Write·description·</dd>116 <dd><a·class="anchor"·id="_todo000013"></a>Write·description·</dd>
117 <dt>Member·<a·class="el"·href="group__Exceptions.html#gad88df7383758da75669c2b88612032bd">DoFTools::ExcGridsDontMatch</a>··()</dt>117 <dt>Member·<a·class="el"·href="group__Exceptions.html#gad88df7383758da75669c2b88612032bd">DoFTools::ExcGridsDontMatch</a>··()</dt>
118 <dd><a·class="anchor"·id="_todo000016"></a>Write·description·</dd>118 <dd><a·class="anchor"·id="_todo000014"></a>Write·description·</dd>
119 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga2bd5035726997688a9263210b1259716">DoFTools::ExcInvalidBoundaryIndicator</a>··()</dt>119 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga2bd5035726997688a9263210b1259716">DoFTools::ExcInvalidBoundaryIndicator</a>··()</dt>
120 <dd><a·class="anchor"·id="_todo000017"></a>Write·description·</dd>120 <dd><a·class="anchor"·id="_todo000015"></a>Write·description·</dd>
121 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a3540ceb577e65414bde1b6b14808da2c">DoFTools::map_support_points_to_dofs</a>··(const·<a·class="el"·href="classMapping.html">Mapping&lt;·dim,·spacedim·&gt;</a>·&amp;mapping,·const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·std::map&lt;·<a·class="el"·href="classPoint.html">Point&lt;·spacedim·&gt;</a>,·<a·class="el"·href="namespacetypes.html#a3543786f7dc7c57385fc923a6afd5917">types::global_dof_index</a>,·Comp·&gt;·&amp;point_to_index_map)</dt>121 <dt>Member·<a·class="el"·href="namespaceDoFTools.html#a3540ceb577e65414bde1b6b14808da2c">DoFTools::map_support_points_to_dofs</a>··(const·<a·class="el"·href="classMapping.html">Mapping&lt;·dim,·spacedim·&gt;</a>·&amp;mapping,·const·<a·class="el"·href="classDoFHandler.html">DoFHandler&lt;·dim,·spacedim·&gt;</a>·&amp;dof_handler,·std::map&lt;·<a·class="el"·href="classPoint.html">Point&lt;·spacedim·&gt;</a>,·<a·class="el"·href="namespacetypes.html#a3543786f7dc7c57385fc923a6afd5917">types::global_dof_index</a>,·Comp·&gt;·&amp;point_to_index_map)</dt>
122 <dd><a·class="anchor"·id="_todo000013"></a>This·function·should·generate·a·multimap,·rather·than·just·a·map,·since·several·dofs·may·be·located·at·the·same·support·point.·Currently,·only·the·last·value·in·the·map·returned·by·<a·class="el"·href="namespaceDoFTools.html#a294a1f1cf2c3e437bf889cd1e963c7b7">map_dofs_to_support_points()</a>·for·each·point·will·be·returned.··</dd>122 <dd><a·class="anchor"·id="_todo000011"></a>This·function·should·generate·a·multimap,·rather·than·just·a·map,·since·several·dofs·may·be·located·at·the·same·support·point.·Currently,·only·the·last·value·in·the·map·returned·by·<a·class="el"·href="namespaceDoFTools.html#a294a1f1cf2c3e437bf889cd1e963c7b7">map_dofs_to_support_points()</a>·for·each·point·will·be·returned.··</dd>
123 <dt>Class·<a·class="el"·href="classFE__ABF.html">FE_ABF&lt;·dim·&gt;</a>··</dt>123 <dt>Class·<a·class="el"·href="classFE__ABF.html">FE_ABF&lt;·dim·&gt;</a>··</dt>
124 <dd><a·class="anchor"·id="_todo000007"></a>Even·if·this·element·is·implemented·for·two·and·three·space·dimensions,·the·definition·of·the·node·values·relies·on·consistently·oriented·faces·in·3d.·Therefore,·care·should·be·taken·on·complicated·meshes.·</dd>124 <dd><a·class="anchor"·id="_todo000007"></a>Even·if·this·element·is·implemented·for·two·and·three·space·dimensions,·the·definition·of·the·node·values·relies·on·consistently·oriented·faces·in·3d.·Therefore,·care·should·be·taken·on·complicated·meshes.·</dd>
125 <dt>Class·<a·class="el"·href="classFE__BDM.html">FE_BDM&lt;·dim·&gt;</a>··</dt>125 <dt>Class·<a·class="el"·href="classFE__BDM.html">FE_BDM&lt;·dim·&gt;</a>··</dt>
 126 <dd><p·class="startdd"><a·class="anchor"·id="_todo000009"></a>Restriction·matrices·are·missing.</p>
126 <dd><p·class="startdd"><a·class="anchor"·id="_todo000010"></a>The·3d·version·exhibits·some·numerical·instabilities,·in·particular·for·higher·order</p>127 <p·class="enddd"><a·class="anchor"·id="_todo000008"></a>The·3d·version·exhibits·some·numerical·instabilities,·in·particular·for·higher·order·</p>
127 <p·class="enddd"><a·class="anchor"·id="_todo000011"></a>Restriction·matrices·are·missing.·</p> 
128 </dd>128 </dd>
129 <dt>Class·<a·class="el"·href="classFE__Nedelec.html">FE_Nedelec&lt;·dim·&gt;</a>··</dt>129 <dt>Class·<a·class="el"·href="classFE__Nedelec.html">FE_Nedelec&lt;·dim·&gt;</a>··</dt>
130 <dd><a·class="anchor"·id="_todo000009"></a>Even·if·this·element·is·implemented·for·two·and·three·space·dimensions,·the·definition·of·the·node·values·relies·on·consistently·oriented·faces·in·3d.·Therefore,·care·should·be·taken·on·complicated·meshes.·</dd>130 <dd><a·class="anchor"·id="_todo000010"></a>Even·if·this·element·is·implemented·for·two·and·three·space·dimensions,·the·definition·of·the·node·values·relies·on·consistently·oriented·faces·in·3d.·Therefore,·care·should·be·taken·on·complicated·meshes.·</dd>
131 <dt>Class·<a·class="el"·href="classFE__Poly.html">FE_Poly&lt;·dim,·spacedim·&gt;</a>··</dt>131 <dt>Class·<a·class="el"·href="classFE__Poly.html">FE_Poly&lt;·dim,·spacedim·&gt;</a>··</dt>
132 <dd><a·class="anchor"·id="_todo000008"></a>Since·nearly·all·functions·for·spacedim·!=·dim·are·specialized,·this·class·needs·cleaning·up.··</dd>132 <dd><a·class="anchor"·id="_todo000019"></a>Since·nearly·all·functions·for·spacedim·!=·dim·are·specialized,·this·class·needs·cleaning·up.··</dd>
133 <dt>Class·<a·class="el"·href="classFE__RT__Bubbles.html">FE_RT_Bubbles&lt;·dim·&gt;</a>··</dt>133 <dt>Class·<a·class="el"·href="classFE__RT__Bubbles.html">FE_RT_Bubbles&lt;·dim·&gt;</a>··</dt>
134 <dd><a·class="anchor"·id="_todo000012"></a>Implement·restriction·matrices··</dd>134 <dd><a·class="anchor"·id="_todo000016"></a>Implement·restriction·matrices··</dd>
135 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga466591f45bccf77b75218bc2b8024d96">FESubfaceValues&lt;·dim,·spacedim·&gt;::ExcFaceHasNoSubfaces</a>··()</dt>135 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga466591f45bccf77b75218bc2b8024d96">FESubfaceValues&lt;·dim,·spacedim·&gt;::ExcFaceHasNoSubfaces</a>··()</dt>
136 <dd><a·class="anchor"·id="_todo000021"></a>Document·this·</dd>136 <dd><a·class="anchor"·id="_todo000021"></a>Document·this·</dd>
137 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga5e9a3da3124ec00b4b25fb3e29e21ea8">FESubfaceValues&lt;·dim,·spacedim·&gt;::ExcReinitCalledWithBoundaryFace</a>··()</dt>137 <dt>Member·<a·class="el"·href="group__Exceptions.html#ga5e9a3da3124ec00b4b25fb3e29e21ea8">FESubfaceValues&lt;·dim,·spacedim·&gt;::ExcReinitCalledWithBoundaryFace</a>··()</dt>
138 <dd><a·class="anchor"·id="_todo000020"></a>Document·this·</dd>138 <dd><a·class="anchor"·id="_todo000020"></a>Document·this·</dd>
139 <dt>Member·<a·class="el"·href="classGinkgoWrappers_1_1SolverBase.html#a57cc9c4774df40029a9ac322d49ad37e">GinkgoWrappers::SolverBase&lt;·ValueType,·IndexType·&gt;::system_matrix</a>··</dt>139 <dt>Member·<a·class="el"·href="classGinkgoWrappers_1_1SolverBase.html#a57cc9c4774df40029a9ac322d49ad37e">GinkgoWrappers::SolverBase&lt;·ValueType,·IndexType·&gt;::system_matrix</a>··</dt>
140 <dd><a·class="anchor"·id="_todo000027"></a>Templatize·based·on·Matrix·type.··</dd>140 <dd><a·class="anchor"·id="_todo000027"></a>Templatize·based·on·Matrix·type.··</dd>
141 <dt>Member·<a·class="el"·href="classinternal_1_1TriangulationImplementation_1_1TriaObjects.html#ab94eb3d9ab56e86dd460fb708cb6850c">internal::TriangulationImplementation::TriaObjects::next_free_pair_object</a>··(const·<a·class="el"·href="classTriangulation.html">Triangulation&lt;·dim,·spacedim·&gt;</a>·&amp;tria)</dt>141 <dt>Member·<a·class="el"·href="classinternal_1_1TriangulationImplementation_1_1TriaObjects.html#ab94eb3d9ab56e86dd460fb708cb6850c">internal::TriangulationImplementation::TriaObjects::next_free_pair_object</a>··(const·<a·class="el"·href="classTriangulation.html">Triangulation&lt;·dim,·spacedim·&gt;</a>·&amp;tria)</dt>