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<a href="#pub-methods">Public Member Functions</a> &#124;
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<div class="headertitle"><div class="title">GooseFEM::MatrixPartitionedTyingsSolver&lt; Solver &gt; Class Template Reference</div></div>
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<p>Solver for MatrixPartitionedTyings().
<a href="#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="MatrixPartitionedTyings_8h_source.html">GooseFEM/MatrixPartitionedTyings.h</a>&gt;</code></p>
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Inheritance diagram for GooseFEM::MatrixPartitionedTyingsSolver&lt; Solver &gt;:</div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a63d1a9e8c22a4399522a6501b5a264ee" id="r_a63d1a9e8c22a4399522a6501b5a264ee"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a63d1a9e8c22a4399522a6501b5a264ee">Solve_u</a> (<a class="el" href="classGooseFEM_1_1MatrixPartitionedTyings.html">MatrixPartitionedTyings</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">A</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b_u</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b_d</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x_p</a>)</td></tr>
<tr class="memdesc:a63d1a9e8c22a4399522a6501b5a264ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Same as Solve(MatrixPartitionedTyings&amp;, const array_type::tensor&lt;double, 2&gt;&amp;, const
array_type::tensor&lt;double, 2&gt;&amp;), but with partitioned input and output. <br /></td></tr>
<tr class="separator:a63d1a9e8c22a4399522a6501b5a264ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae48f4be3e53656603d083416a20ff37c" id="r_ae48f4be3e53656603d083416a20ff37c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae48f4be3e53656603d083416a20ff37c">solve_u</a> (<a class="el" href="classGooseFEM_1_1MatrixPartitionedTyings.html">MatrixPartitionedTyings</a> &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">A</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b_u</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b_d</a>, <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x_p</a>, <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x_u</a>)</td></tr>
<tr class="memdesc:ae48f4be3e53656603d083416a20ff37c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Same as <a class="el" href="#a63d1a9e8c22a4399522a6501b5a264ee" title="Same as Solve(MatrixPartitionedTyings&amp;, const array_type::tensor&lt;double, 2&gt;&amp;, const array_type::tenso...">Solve_u(MatrixPartitionedTyings&amp;, const array_type::tensor&lt;double, 1&gt;&amp;, const
array_type::tensor&lt;double, 1&gt;&amp;, const array_type::tensor&lt;double, 1&gt;&amp;)</a>, but writing to pre-allocated output. <br /></td></tr>
<tr class="separator:ae48f4be3e53656603d083416a20ff37c"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><div class="compoundTemplParams">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> = Eigen::SimplicialLDLT&lt;Eigen::SparseMatrix&lt;double&gt;&gt;&gt;<br />
class GooseFEM::MatrixPartitionedTyingsSolver&lt; Solver &gt;</div><p>Solver for MatrixPartitionedTyings(). </p>
<p>This solver class can be used to solve for multiple right-hand-sides using one factorisation.</p>
<p>Solving proceeds as follows:</p>
<p>\( A&#39; = A_{ii} + A_{id} * C_{di} + C_{di}^T * A_{di} + C_{di}^T * A_{dd} * C_{di} \)</p>
<p>\( b&#39; = b_i + C_{di}^T * b_d \)</p>
<p>\( x_u = A&#39;_{uu} \ ( b&#39;_u - A&#39;_{up} * x_p ) \)</p>
<p>\( x_i = \begin{bmatrix} x_u \\ x_p \end{bmatrix} \)</p>
<p>\( x_d = C_{di} * x_i \) </p>
<p class="definition">Definition at line <a class="el" href="MatrixPartitionedTyings_8h_source.html#l00528">528</a> of file <a class="el" href="MatrixPartitionedTyings_8h_source.html">MatrixPartitionedTyings.h</a>.</p>
</div><h2 class="groupheader">Member Function Documentation</h2>
<a id="a63d1a9e8c22a4399522a6501b5a264ee" name="a63d1a9e8c22a4399522a6501b5a264ee"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a63d1a9e8c22a4399522a6501b5a264ee">&#9670;&#160;</a></span>Solve_u()</h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> = Eigen::SimplicialLDLT&lt;Eigen::SparseMatrix&lt;double&gt;&gt;&gt; </div>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; <a class="el" href="classGooseFEM_1_1MatrixPartitionedTyingsSolver.html">GooseFEM::MatrixPartitionedTyingsSolver</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> &gt;::Solve_u </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classGooseFEM_1_1MatrixPartitionedTyings.html">MatrixPartitionedTyings</a> &amp;</td> <td class="paramname"><span class="paramname"><em>A</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b_u</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b_d</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>x_p</em></span>&#160;)</td>
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<p>Same as Solve(MatrixPartitionedTyings&amp;, const array_type::tensor&lt;double, 2&gt;&amp;, const
array_type::tensor&lt;double, 2&gt;&amp;), but with partitioned input and output. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">A</td><td>sparse matrix, see MatrixPartitionedTyings(). </td></tr>
<tr><td class="paramname">b_u</td><td>unknown dofval [nnu]. </td></tr>
<tr><td class="paramname">b_d</td><td>dependent dofval [nnd]. </td></tr>
<tr><td class="paramname">x_p</td><td>prescribed dofval [nnp] </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>x_u unknown dofval [nnu]. </dd></dl>
<p class="definition">Definition at line <a class="el" href="MatrixPartitionedTyings_8h_source.html#l00601">601</a> of file <a class="el" href="MatrixPartitionedTyings_8h_source.html">MatrixPartitionedTyings.h</a>.</p>
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<a id="ae48f4be3e53656603d083416a20ff37c" name="ae48f4be3e53656603d083416a20ff37c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae48f4be3e53656603d083416a20ff37c">&#9670;&#160;</a></span>solve_u()</h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> = Eigen::SimplicialLDLT&lt;Eigen::SparseMatrix&lt;double&gt;&gt;&gt; </div>
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a> <a class="el" href="classGooseFEM_1_1MatrixPartitionedTyingsSolver.html">GooseFEM::MatrixPartitionedTyingsSolver</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">Solver</a> &gt;::solve_u </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classGooseFEM_1_1MatrixPartitionedTyings.html">MatrixPartitionedTyings</a> &amp;</td> <td class="paramname"><span class="paramname"><em>A</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b_u</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b_d</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>x_p</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>x_u</em></span>&#160;)</td>
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<p>Same as <a class="el" href="#a63d1a9e8c22a4399522a6501b5a264ee" title="Same as Solve(MatrixPartitionedTyings&amp;, const array_type::tensor&lt;double, 2&gt;&amp;, const array_type::tenso...">Solve_u(MatrixPartitionedTyings&amp;, const array_type::tensor&lt;double, 1&gt;&amp;, const
array_type::tensor&lt;double, 1&gt;&amp;, const array_type::tensor&lt;double, 1&gt;&amp;)</a>, but writing to pre-allocated output. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">A</td><td>sparse matrix, see MatrixPartitionedTyings(). </td></tr>
<tr><td class="paramname">b_u</td><td>unknown dofval [nnu]. </td></tr>
<tr><td class="paramname">b_d</td><td>dependent dofval [nnd]. </td></tr>
<tr><td class="paramname">x_p</td><td>prescribed dofval [nnp] </td></tr>
<tr><td class="paramname">x_u</td><td>(overwritten) unknown dofval [nnu]. </td></tr>
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<p class="definition">Definition at line <a class="el" href="MatrixPartitionedTyings_8h_source.html#l00625">625</a> of file <a class="el" href="MatrixPartitionedTyings_8h_source.html">MatrixPartitionedTyings.h</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
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