Website build

Author: colinjcotter

.buildinfo

@@ -1,4 +1,4 @@
 # Sphinx build info version 1
-# This file records the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: 72fbf69fde08a64a03d8d54a51144214
+# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
+config: 82bc60f5d72d41292ca36b6717b1fbde
 tags: 645f666f9bcd5a90fca523b33c5a78b7

1_quadrature.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -86,7 +86,7 @@
 <div class="proof proof-type-definition" id="id1">
 <span id="degree-of-precision"></span>
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 1.15</span>
 
     </div><div class="proof-content">
 <p>The <em>degree of precision</em> of a quadrature rule is the largest <span class="math notranslate nohighlight">\(p\)</span>
@@ -176,15 +176,15 @@ <h3><span class="section-number">1.3.1. </span>Reference cell topology<a class="
 <div class="proof proof-type-definition" id="id2">
 
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 1.16</span>
 
     </div><div class="proof-content">
 <p>The <em>dimension</em> of a cell is the maximal dimension of the topological
 entities that make up the cell.</p>
 </div></div><div class="proof proof-type-definition" id="id3">
 
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 1.17</span>
 
     </div><div class="proof-content">
 <p>A topological entity of <em>codimension</em> <span class="math notranslate nohighlight">\(n\)</span> is a topological
@@ -373,7 +373,7 @@ <h2><span class="section-number">1.7. </span>Implementing quadrature rules in Py
 <div class="proof proof-type-exercise" id="id6">
 <span id="ex-integrate"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 1.18</span>
 
     </div><div class="proof-content">
 <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
@@ -417,7 +417,7 @@ <h2><span class="section-number">1.7. </span>Implementing quadrature rules in Py
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>

2_finite_elements.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -65,7 +65,7 @@
 <div class="proof proof-type-definition" id="id5">
 <span id="def-ciarlet"></span>
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 2.43</span>
 
     </div><div class="proof-content">
 <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,
@@ -78,7 +78,7 @@
 <div class="proof proof-type-definition" id="id6">
 <span id="nodalbasis"></span>
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 2.44</span>
 
     </div><div class="proof-content">
 <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
@@ -237,7 +237,7 @@ <h2><span class="section-number">2.3. </span>The Lagrange element nodes<a class=
 <div class="proof proof-type-exercise" id="id8">
 <span id="ex-lagrange-points"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.45</span>
 
     </div><div class="proof-content">
 <p>Implement
@@ -307,7 +307,7 @@ <h2><span class="section-number">2.3. </span>The Lagrange element nodes<a class=
 <div class="proof proof-type-exercise" id="id9">
 <span id="ex-vandermonde"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.46</span>
 
     </div><div class="proof-content">
 <p>Use <a class="reference internal" href="#equation-vandermonde">(2.7)</a> to implement
@@ -345,7 +345,7 @@ <h2><span class="section-number">2.5. </span>Implementing finite elements in Pyt
 <div class="proof proof-type-exercise" id="id10">
 <span id="ex-finite-element"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.47</span>
 
     </div><div class="proof-content">
 <p>Implement the rest of the
@@ -382,7 +382,7 @@ <h2><span class="section-number">2.6. </span>Implementing the Lagrange Elements<
 <div class="proof proof-type-exercise" id="id11">
 <span id="ex-lagrange-element"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.48</span>
 
     </div><div class="proof-content">
 <p>Implement the <code class="xref py py-meth docutils literal notranslate"><span class="pre">__init__()</span></code> method of
@@ -426,7 +426,7 @@ <h2><span class="section-number">2.7. </span>Tabulating basis functions<a class=
 <div class="proof proof-type-exercise" id="id12">
 <span id="ex-tabulate"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.49</span>
 
     </div><div class="proof-content">
 <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>.
@@ -473,7 +473,7 @@ <h2><span class="section-number">2.8. </span>Gradients of basis functions<a clas
 <div class="proof proof-type-exercise" id="id13">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.50</span>
 
     </div><div class="proof-content">
 <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
@@ -504,7 +504,7 @@ <h2><span class="section-number">2.8. </span>Gradients of basis functions<a clas
 <div class="proof proof-type-exercise" id="id14">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.51</span>
 
     </div><div class="proof-content">
 <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
@@ -567,7 +567,7 @@ <h2><span class="section-number">2.9. </span>Interpolating functions to the fini
 <div class="proof proof-type-exercise" id="id15">
 <span id="ex-interpolate"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 2.52</span>
 
     </div><div class="proof-content">
 <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>
@@ -605,7 +605,7 @@ <h2><span class="section-number">2.9. </span>Interpolating functions to the fini
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>

3_meshes.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -74,7 +74,7 @@ <h2><span class="section-number">3.1. </span>Mesh entities<a class="headerlink"
 <div class="proof proof-type-definition" id="id3">
 
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 3.26</span>
 
     </div><div class="proof-content">
 <p>The <em>(topological) dimension</em> of a mesh is the largest
@@ -120,7 +120,7 @@ <h2><span class="section-number">3.2. </span>Adjacency<a class="headerlink" href
 <div class="proof proof-type-definition" id="id5">
 
     <div class="proof-title">
-        <span class="proof-type">Definition </span>
+        <span class="proof-type">Definition 3.27</span>
 
     </div><div class="proof-content">
 <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>
@@ -145,7 +145,7 @@ <h2><span class="section-number">3.2. </span>Adjacency<a class="headerlink" href
 </div></div><div class="proof proof-type-example" id="id6">
 
     <div class="proof-title">
-        <span class="proof-type">Example </span>
+        <span class="proof-type">Example 3.28</span>
 
     </div><div class="proof-content">
 <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>
@@ -229,7 +229,7 @@ <h2><span class="section-number">3.4. </span>A mesh implementation in Python<a c
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>

4_function_spaces.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -163,7 +163,7 @@ <h2><span class="section-number">4.2. </span>Implementing local numbering<a clas
 <div class="proof proof-type-exercise" id="id3">
 <span id="ex-local"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 4.44</span>
 
     </div><div class="proof-content">
 <p>Extend the <code class="xref py py-meth docutils literal notranslate"><span class="pre">__init__()</span></code> method of
@@ -259,7 +259,7 @@ <h2><span class="section-number">4.5. </span>Implementing function spaces in Pyt
 <div class="proof proof-type-exercise" id="id4">
 <span id="ex-function-space"></span>
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 4.45</span>
 
     </div><div class="proof-content">
 <p>Implement the <code class="xref py py-meth docutils literal notranslate"><span class="pre">__init__()</span></code> method of
@@ -320,7 +320,7 @@ <h2><span class="section-number">4.5. </span>Implementing function spaces in Pyt
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>

5_functions.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -208,7 +208,7 @@ <h3><span class="section-number">5.2.3. </span>A Python implementation of interp
 <div class="proof proof-type-exercise" id="id2">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 5.37</span>
 
     </div><div class="proof-content">
 <p>Read and understand the
@@ -325,7 +325,7 @@ <h3><span class="section-number">5.3.3. </span>Implementing integration<a class=
 <div class="proof proof-type-exercise" id="id3">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 5.38</span>
 
     </div><div class="proof-content">
 <p>Use <a class="reference internal" href="#equation-jacobian">(5.12)</a> to implement the
@@ -342,7 +342,7 @@ <h3><span class="section-number">5.3.3. </span>Implementing integration<a class=
 <div class="proof proof-type-exercise" id="id4">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 5.39</span>
 
     </div><div class="proof-content">
 <p>Use <a class="reference internal" href="#equation-integral-sum">(5.9)</a> and <a class="reference internal" href="#equation-integration">(5.14)</a> to implement
@@ -385,7 +385,7 @@ <h3><span class="section-number">5.3.3. </span>Implementing integration<a class=
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>

6_finite_element_problems.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -391,7 +391,7 @@ <h2><span class="section-number">6.5. </span>Implementing finite element problem
 <div class="proof proof-type-exercise" id="id3">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 6.13</span>
 
     </div><div class="proof-content">
 <p><code class="docutils literal notranslate"><span class="pre">fe_utils/solvers/helmholtz.py</span></code> contains a partial implementation of
@@ -440,7 +440,7 @@ <h2><span class="section-number">6.5. </span>Implementing finite element problem
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>

7_boundary_conditions.html

@@ -11,7 +11,7 @@
     <link rel="stylesheet" type="text/css" href="_static/proof.css" />
     <link rel="stylesheet" type="text/css" href="_static/sphinx-design.min.css?v=95c83b7e" />
     <script src="_static/documentation_options.js?v=7ff0cb77"></script>
-    <script src="_static/doctools.js?v=9bcbadda"></script>
+    <script src="_static/doctools.js?v=9a2dae69"></script>
     <script src="_static/sphinx_highlight.js?v=dc90522c"></script>
     <script src="_static/proof.js"></script>
     <script src="_static/design-tabs.js?v=36754332"></script>
@@ -127,7 +127,7 @@ <h2><span class="section-number">7.2. </span>Implementing boundary conditions<a
 <div class="proof proof-type-exercise" id="id1">
 
     <div class="proof-title">
-        <span class="proof-type">Exercise </span>
+        <span class="proof-type">Exercise 7.1</span>
 
     </div><div class="proof-content">
 <p><code class="docutils literal notranslate"><span class="pre">fe_utils/solvers/poisson.py</span></code> contains a partial implementation of
@@ -165,7 +165,7 @@ <h2><span class="section-number">7.3. </span>Inhomogeneous Dirichlet conditions<
     </div>
     <div class="footer" role="contentinfo">
     &#169; Copyright 2014-2024, David A. Ham and Colin J. Cotter.
-      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 8.2.3.
+      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 7.4.7.
     </div>
   </body>
 </html>