build based on b256a92

dev/.documenter-siteinfo.json

@@ -1 +1 @@
-{"documenter":{"julia_version":"1.11.0","generation_timestamp":"2024-10-15T07:29:19","documenter_version":"1.7.0"}}
+{"documenter":{"julia_version":"1.11.0","generation_timestamp":"2024-10-15T09:44:07","documenter_version":"1.7.0"}}

dev/index.html

@@ -49,4 +49,4 @@
 cb = Colorbar(fig[1, 3], h1, size = 20, height = 200)
 ax2 = Axis(fig[1, 2]; title = "Approx. solution", opts...)
 h2 = heatmap!(ax2, xx,yy, (x, y) -> inside((x,y)) ? uₕ((x,y)) : NaN, colorrange = cb.limits[])
-viz!(msh; segmentsize = 3)</code></pre><img src="index-d6bc3839.png" alt="Example block output"/><div class="admonition is-info"><header class="admonition-header">Formulation of the problem as an integral equation</header><div class="admonition-body"><p>Given a PDE and boundary conditions, there are often many ways to recast the problem as an integral equation, and the choice of formulation plays an important role in the unique solvability, efficiency, and accuracy of the numerical solution. Inti.jl provides a flexible framework for experimenting with different formulations, but it is up to the user to choose the most appropriate one for their problem.</p></div></div><p>While the example above is a simple one, Inti.jl can handle significantly more complex problems involving multiple domains, heterogeneous coefficients, vector-valued PDEs, and three-dimensional geometries. The best way to dive deeper into Inti.jl&#39;s capabilities is the <a href="tutorials/getting_started/#Getting-started">tutorials</a> section. More advanced usage can be found in the <a href="pluto-examples/toy_example/#Toy-example">examples</a> section.</p><h2 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h2><p>There are several ways to contribute to Inti.jl:</p><ul><li><strong>Reporting bugs</strong>: If you encounter a bug, please <a href="https://github.com/IntegralEquations/Inti.jl/issues/new">open an issue</a> on the GitHub. If possible, please include a minimal working example that reproduces the problem.</li><li><strong>Examples</strong>: If you have a cool example that showcases Inti.jl&#39;s capabilities, consider submitting a PR to add it to the examples section.</li><li><strong>Contributing code</strong>: If you would like to contribute code to Inti.jl, please fork the repository and submit a pull request. Feel free to open a draft PR early in the development process to get feedback on your changes.</li><li><strong>Feature requests</strong>: If you have an idea for a new feature or improvement, we would love to hear about it.</li><li><strong>Documentation</strong>: If you find any part of the documentation unclear or incomplete, please let us know. Or even better, submit a PR with the improved documentation.</li></ul><h2 id="Acknowledgements"><a class="docs-heading-anchor" href="#Acknowledgements">Acknowledgements</a><a id="Acknowledgements-1"></a><a class="docs-heading-anchor-permalink" href="#Acknowledgements" title="Permalink"></a></h2></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="tutorials/getting_started/">Getting started »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 15 October 2024 07:29">Tuesday 15 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+viz!(msh; segmentsize = 3)</code></pre><img src="index-d6bc3839.png" alt="Example block output"/><div class="admonition is-info"><header class="admonition-header">Formulation of the problem as an integral equation</header><div class="admonition-body"><p>Given a PDE and boundary conditions, there are often many ways to recast the problem as an integral equation, and the choice of formulation plays an important role in the unique solvability, efficiency, and accuracy of the numerical solution. Inti.jl provides a flexible framework for experimenting with different formulations, but it is up to the user to choose the most appropriate one for their problem.</p></div></div><p>While the example above is a simple one, Inti.jl can handle significantly more complex problems involving multiple domains, heterogeneous coefficients, vector-valued PDEs, and three-dimensional geometries. The best way to dive deeper into Inti.jl&#39;s capabilities is the <a href="tutorials/getting_started/#Getting-started">tutorials</a> section. More advanced usage can be found in the <a href="pluto-examples/toy_example/#Toy-example">examples</a> section.</p><h2 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h2><p>There are several ways to contribute to Inti.jl:</p><ul><li><strong>Reporting bugs</strong>: If you encounter a bug, please <a href="https://github.com/IntegralEquations/Inti.jl/issues/new">open an issue</a> on the GitHub. If possible, please include a minimal working example that reproduces the problem.</li><li><strong>Examples</strong>: If you have a cool example that showcases Inti.jl&#39;s capabilities, consider submitting a PR to add it to the examples section.</li><li><strong>Contributing code</strong>: If you would like to contribute code to Inti.jl, please fork the repository and submit a pull request. Feel free to open a draft PR early in the development process to get feedback on your changes.</li><li><strong>Feature requests</strong>: If you have an idea for a new feature or improvement, we would love to hear about it.</li><li><strong>Documentation</strong>: If you find any part of the documentation unclear or incomplete, please let us know. Or even better, submit a PR with the improved documentation.</li></ul><h2 id="Acknowledgements"><a class="docs-heading-anchor" href="#Acknowledgements">Acknowledgements</a><a id="Acknowledgements-1"></a><a class="docs-heading-anchor-permalink" href="#Acknowledgements" title="Permalink"></a></h2></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="tutorials/getting_started/">Getting started »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 15 October 2024 09:44">Tuesday 15 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/pluto-examples/helmholtz_scattering/index.html

@@ -29,12 +29,12 @@
 meshsize = λ / 5
 gmsh_circle(; meshsize, order = gorder, name)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Info    : Meshing 1D...
 Info    : Meshing curve 1 (Ellipse)
-Info    : Done meshing 1D (Wall 0.000149931s, CPU 0.000151s)
+Info    : Done meshing 1D (Wall 0.000161532s, CPU 0.000163s)
 Info    : 63 nodes 64 elements
 Info    : Meshing order 2 (curvilinear on)...
 Info    : [  0%] Meshing curve 1 order 2
 Info    : [ 60%] Meshing surface 1 order 2
-Info    : Done meshing order 2 (Wall 0.00040488s, CPU 0.0004s)
+Info    : Done meshing order 2 (Wall 0.000383737s, CPU 0.00038s)
 Info    : Writing &#39;/home/runner/work/Inti.jl/Inti.jl/docs/build/pluto-examples/circle.msh&#39;...
 Info    : Done writing &#39;/home/runner/work/Inti.jl/Inti.jl/docs/build/pluto-examples/circle.msh&#39;</code></pre><p>We can now import the file and parse the mesh and domain information into <code>Inti.jl</code> using the <a href="../../docstrings/#Inti.import_mesh-Tuple"><code>import_mesh</code></a> function:</p><pre><code class="language-julia hljs">Inti.clear_entities!() # empty the entity cache
 msh = Inti.import_mesh(name; dim = 2)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Inti.Mesh{2, Float64} containing:
@@ -213,7 +213,7 @@
     x = 2 * x̂
     return abs(uₛ_3d(x) - uₑ_3d(x))
 end
-@info &quot;error with correction = $er_3d&quot;</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">[ Info: error with correction = 3.097320356744499e-5</code></pre><p>We see that, once again, the approximation is quite accurate. Let us now visualize the solution on the punctured plane (which we labeled as &quot;sigma&quot;). Since evaluating the integral representation of the solution at many points is expensive, we will use again use a method to accelerate the evaluation:</p><pre><code class="language-julia hljs">Σ_msh = view(msh_3d, Σ_3d)
+@info &quot;error with correction = $er_3d&quot;</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">[ Info: error with correction = 3.3523387459745634e-5</code></pre><p>We see that, once again, the approximation is quite accurate. Let us now visualize the solution on the punctured plane (which we labeled as &quot;sigma&quot;). Since evaluating the integral representation of the solution at many points is expensive, we will use again use a method to accelerate the evaluation:</p><pre><code class="language-julia hljs">Σ_msh = view(msh_3d, Σ_3d)
 target = Inti.nodes(Σ_msh)
 
 S_viz, D_viz = Inti.single_double_layer(;
@@ -234,4 +234,4 @@
 ax_3d = Axis3(fig_3d[1, 1]; aspect = :data)
 viz!(Γ_msh_3d; colorrange, colormap, color = zeros(nv), interpolate = true)
 viz!(Σ_msh; colorrange, colormap, color = real(u_eval_msh))
-cb = Colorbar(fig_3d[1, 2]; label = &quot;real(u)&quot;, colormap, colorrange)</code></pre><img src="d51694bb.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../toy_example/">« Toy example</a><a class="docs-footer-nextpage" href="../poisson/">Poisson problem »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 15 October 2024 07:29">Tuesday 15 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+cb = Colorbar(fig_3d[1, 2]; label = &quot;real(u)&quot;, colormap, colorrange)</code></pre><img src="d51694bb.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../toy_example/">« Toy example</a><a class="docs-footer-nextpage" href="../poisson/">Poisson problem »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 15 October 2024 09:44">Tuesday 15 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/pluto-examples/poisson/index.html

@@ -21,16 +21,16 @@
 msh = Inti.import_mesh(; dim = 2)
 gmsh.finalize()</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Info    : Meshing 1D...
 Info    : Meshing curve 1 (BSpline)
-Info    : Done meshing 1D (Wall 0.0292885s, CPU 0.029275s)
+Info    : Done meshing 1D (Wall 0.0264865s, CPU 0.026462s)
 Info    : Meshing 2D...
 Info    : Meshing surface 1 (Plane, Frontal-Delaunay)
-Info    : Done meshing 2D (Wall 0.0787757s, CPU 0.078771s)
+Info    : Done meshing 2D (Wall 0.084293s, CPU 0.084286s)
 Info    : 566 nodes 1033 elements
 Info    : Meshing order 2 (curvilinear on)...
 Info    : [  0%] Meshing curve 1 order 2
 Info    : [ 60%] Meshing surface 1 order 2
 Info    : Surface mesh: worst distortion = 0.451559 (0 elements in ]0, 0.2]); worst gamma = 0.758919
-Info    : Done meshing order 2 (Wall 0.00847849s, CPU 0.008474s)</code></pre><p>We can now extract components of the mesh corresponding to the <span>$\Omega$</span> and <span>$\Gamma$</span> domains:</p><pre><code class="language-julia hljs">Ω = Inti.Domain(e -&gt; Inti.geometric_dimension(e) == 2, msh)
+Info    : Done meshing order 2 (Wall 0.00941178s, CPU 0.009397s)</code></pre><p>We can now extract components of the mesh corresponding to the <span>$\Omega$</span> and <span>$\Gamma$</span> domains:</p><pre><code class="language-julia hljs">Ω = Inti.Domain(e -&gt; Inti.geometric_dimension(e) == 2, msh)
 Γ = Inti.boundary(Ω)
 Ω_msh = view(msh, Ω)
 Γ_msh = view(msh, Γ)</code></pre><p>and visualize them:</p><pre><code class="language-julia hljs">using Meshes, GLMakie
@@ -110,4 +110,4 @@
 colormap = :inferno
 ax = Axis(fig[1, 3]; aspect = DataAspect())
 viz!(Ω_msh; colorrange, colormap, color = log_er, interpolate = true)
-cb = Colorbar(fig[1, 4]; label = &quot;log₁₀|u - uₑ|&quot;, colormap, colorrange)</code></pre><img src="26fd6760.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../helmholtz_scattering/">« Helmholtz scattering</a><a class="docs-footer-nextpage" href="../../references/">References »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 15 October 2024 07:29">Tuesday 15 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+cb = Colorbar(fig[1, 4]; label = &quot;log₁₀|u - uₑ|&quot;, colormap, colorrange)</code></pre><img src="26fd6760.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../helmholtz_scattering/">« Helmholtz scattering</a><a class="docs-footer-nextpage" href="../../references/">References »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 15 October 2024 09:44">Tuesday 15 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>