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‎dolfinx/v0.10.0.post2/cpp/demos/demo_biharmonic.html‎

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\forall \ K \in \mathcal{T} \right\}
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\]</div>
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<p>and considering the boundary conditions</p>
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<div class="amsmath math notranslate nohighlight" id="equation-a37e52ae-5a09-4d6e-98db-fe11906ebf9d">
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<span class="eqno">(1)<a class="headerlink" href="#equation-a37e52ae-5a09-4d6e-98db-fe11906ebf9d" title="Permalink to this equation"></a></span>\[\begin{align}
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<div class="amsmath math notranslate nohighlight" id="equation-215e9a63-9bc9-4ded-b885-f81cac2dd029">
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<span class="eqno">(1)<a class="headerlink" href="#equation-215e9a63-9bc9-4ded-b885-f81cac2dd029" title="Permalink to this equation"></a></span>\[\begin{align}
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u &amp;= 0 \quad {\rm on} \ \partial\Omega, \\
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\nabla^{2} u &amp;= 0 \quad {\rm on} \ \partial\Omega,
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\end{align}\]</div>

‎dolfinx/v0.10.0.post2/python/_downloads/01cebb598a9eb6f964554459de25ce7c/demo_stokes.ipynb‎

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"cells": [
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"# Stokes equations using Taylor-Hood elements\n",
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{
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"cell_type": "code",
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"execution_count": null,
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"We create a {py:class}`Mesh <dolfinx.mesh.Mesh>`, define functions for\n",
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{
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"execution_count": null,
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"Boundary conditions for the velocity field are defined:"
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{
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"The bilinear and linear forms for the Stokes equations are defined\n",
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{
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"cell_type": "code",
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"A block-diagonal preconditioner will be used with the iterative\n",
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"Solve using LinearProblem class"
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"Solve using PETSc MatNest"
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"Solve using PETSc block matrices and an iterative solver"
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"Solve using PETSc block matrices and an LU solver"
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