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‎.buildinfo‎

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# Sphinx build info version 1
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# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
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config: 82bc60f5d72d41292ca36b6717b1fbde
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# This file records the configuration used when building these files. When it is not found, a full rebuild will be done.
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config: 72fbf69fde08a64a03d8d54a51144214
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tags: 645f666f9bcd5a90fca523b33c5a78b7

‎.buildinfo.bak‎

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# Sphinx build info version 1
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# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
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config: 82bc60f5d72d41292ca36b6717b1fbde
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tags: 645f666f9bcd5a90fca523b33c5a78b7

‎1_quadrature.html‎

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<div class="proof proof-type-definition" id="id1">
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<span class="proof-type">Definition 1.15</span>
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<p>The <em>degree of precision</em> of a quadrature rule is the largest <span class="math notranslate nohighlight">\(p\)</span>
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<p>The <em>dimension</em> of a cell is the maximal dimension of the topological
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entities that make up the cell.</p>
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<p>A topological entity of <em>codimension</em> <span class="math notranslate nohighlight">\(n\)</span> is a topological
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<span class="proof-type">Exercise 1.18</span>
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<p>The <a class="reference internal" href="fe_utils.html#fe_utils.quadrature.QuadratureRule.integrate" title="fe_utils.quadrature.QuadratureRule.integrate"><code class="xref py py-meth docutils literal notranslate"><span class="pre">integrate()</span></code></a> method is
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</div>
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<div class="footer" role="contentinfo">
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&#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
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Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
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‎2_finite_elements.html‎

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<p>A <em>finite element</em> is a triple <span class="math notranslate nohighlight">\((K, P, N)\)</span> in which <span class="math notranslate nohighlight">\(K\)</span> is a cell,
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<p>Let <span class="math notranslate nohighlight">\(N = \{\phi^*_j\}\)</span> be a basis for <span class="math notranslate nohighlight">\(P^*\)</span>. A <em>nodal
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<p>Implement
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<p>Where <code class="xref py py-data docutils literal notranslate"><span class="pre">degree</span></code> is the degree of the points to plot.</p>
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</div></div><div class="admonition note">
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<p class="admonition-title">Note</p>
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<p>It should not be necessary to special-case your code for different
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dimensions of cell: the same code should produce the points on the interval
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and the triangle.</p>
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</div>
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</section>
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<section id="solving-for-basis-functions">
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<span id="sec-vandermonde"></span><h2><span class="section-number">2.4. </span>Solving for basis functions<a class="headerlink" href="#solving-for-basis-functions" title="Link to this heading"></a></h2>
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<details class="sd-sphinx-override sd-dropdown sd-card sd-mb-3">
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<p>Use <a class="reference internal" href="#equation-vandermonde">(2.7)</a> to implement
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<p>Implement the rest of the
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<p>Implement the <code class="xref py py-meth docutils literal notranslate"><span class="pre">__init__()</span></code> method of
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<p>Implement <a class="reference internal" href="fe_utils.html#fe_utils.finite_elements.FiniteElement.tabulate" title="fe_utils.finite_elements.FiniteElement.tabulate"><code class="xref py py-meth docutils literal notranslate"><span class="pre">tabulate()</span></code></a>.
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<p>Extend <a class="reference internal" href="fe_utils.html#fe_utils.finite_elements.vandermonde_matrix" title="fe_utils.finite_elements.vandermonde_matrix"><code class="xref py py-meth docutils literal notranslate"><span class="pre">vandermonde_matrix()</span></code></a> so that
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<p>Extend <a class="reference internal" href="fe_utils.html#fe_utils.finite_elements.FiniteElement.tabulate" title="fe_utils.finite_elements.FiniteElement.tabulate"><code class="xref py py-meth docutils literal notranslate"><span class="pre">tabulate()</span></code></a> to
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<p>Implement <a class="reference internal" href="fe_utils.html#fe_utils.finite_elements.FiniteElement.interpolate" title="fe_utils.finite_elements.FiniteElement.interpolate"><code class="xref py py-meth docutils literal notranslate"><span class="pre">interpolate()</span></code></a>.</p>
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&#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
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‎3_meshes.html‎

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<p>Given a mesh <span class="math notranslate nohighlight">\(M\)</span>, then for each <span class="math notranslate nohighlight">\(\dim(M) \geq d_1 &gt; d_2 \geq 0\)</span>
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<p>In the mesh shown in <a class="reference internal" href="#figmesh"><span class="std std-numref">Fig. 3.1</span></a> we have:</p>
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‎4_function_spaces.html‎

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‎5_functions.html‎

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‎6_finite_element_problems.html‎

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‎7_boundary_conditions.html‎

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@@ -127,7 +127,7 @@ <h2><span class="section-number">7.2. </span>Implementing boundary conditions<a
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<span class="proof-type">Exercise 7.1</span>
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<span class="proof-type">Exercise </span>
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<p><code class="docutils literal notranslate"><span class="pre">fe_utils/solvers/poisson.py</span></code> contains a partial implementation of
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