C++/Python FEniCS/dolfinx@b2cbfd8

Author: FEniCS GitHub Actions

dolfinx/main/cpp/demos/demo_biharmonic.html

@@ -268,8 +268,8 @@ <h3>Weak formulation<a class="headerlink" href="#weak-formulation" title="Link t
 \forall \ K \in \mathcal{T} \right\}
 \]</div>
 <p>and considering the boundary conditions</p>
-<div class="amsmath math notranslate nohighlight" id="equation-c9443a4c-b9e1-41a0-abff-220e789e05fe">
-<span class="eqno">(1)<a class="headerlink" href="#equation-c9443a4c-b9e1-41a0-abff-220e789e05fe" title="Permalink to this equation">#</a></span>\[\begin{align}
+<div class="amsmath math notranslate nohighlight" id="equation-45315776-9d3c-4dc3-a58c-d12a483ca5bd">
+<span class="eqno">(1)<a class="headerlink" href="#equation-45315776-9d3c-4dc3-a58c-d12a483ca5bd" title="Permalink to this equation">#</a></span>\[\begin{align}
 u &amp;= 0 \quad {\rm on} \ \partial\Omega, \\
 \nabla^{2} u &amp;= 0 \quad {\rm on} \ \partial\Omega,
 \end{align}\]</div>

dolfinx/main/python/_downloads/01cebb598a9eb6f964554459de25ce7c/demo_stokes.ipynb

@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "1e740a70",
+   "id": "54f62878",
    "metadata": {},
    "source": [
     "# Stokes equations using Taylor-Hood elements\n",
@@ -92,7 +92,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "e7050767",
+   "id": "93f29bc0",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -129,7 +129,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa4076db",
+   "id": "1a53a0b1",
    "metadata": {},
    "source": [
     "We create a {py:class}`Mesh <dolfinx.mesh.Mesh>`, define functions for\n",
@@ -140,7 +140,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "b9ebc253",
+   "id": "74f03c2e",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -170,7 +170,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f69e7ae8",
+   "id": "448fc3d0",
    "metadata": {},
    "source": [
     "Two {py:class}`function spaces <dolfinx.fem.FunctionSpace>` are\n",
@@ -182,7 +182,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "bc156429",
+   "id": "3bac8f1b",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -194,7 +194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb74bc17",
+   "id": "78ca9469",
    "metadata": {},
    "source": [
     "Boundary conditions for the velocity field are defined:"
@@ -203,7 +203,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "03464072",
+   "id": "e3dd8ec9",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -224,7 +224,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "875a37b8",
+   "id": "ab7f9d89",
    "metadata": {},
    "source": [
     "The bilinear and linear forms for the Stokes equations are defined\n",
@@ -234,7 +234,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "6ef938cd",
+   "id": "a0e5da46",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -254,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5df90503",
+   "id": "6e5e14dc",
    "metadata": {},
    "source": [
     "A block-diagonal preconditioner will be used with the iterative\n",
@@ -264,7 +264,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "b57de871",
+   "id": "a468bcda",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -276,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e62f1a8",
+   "id": "94a0ce8c",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -292,7 +292,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "cb044dfb",
+   "id": "21a32aea",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -364,7 +364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a1a1bcc",
+   "id": "43187e2e",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -381,7 +381,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "65b8aab1",
+   "id": "3babecb6",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -496,7 +496,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cf3ae68",
+   "id": "f116a480",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -511,7 +511,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "20f0a89e",
+   "id": "7d533a24",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -548,7 +548,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79f470fd",
+   "id": "7761aa5c",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -560,7 +560,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "0184c257",
+   "id": "8bf151dc",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -630,7 +630,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae8adced",
+   "id": "0d1a01b1",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -644,7 +644,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "2356ea3c",
+   "id": "2202fc7d",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -694,7 +694,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5238d235",
+   "id": "e94dbe91",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -710,7 +710,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "f2e02089",
+   "id": "92ad4ed5",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -804,7 +804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d897337a",
+   "id": "03f0344a",
    "metadata": {},
    "source": [
     "Solve using LinearProblem class"
@@ -813,7 +813,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "db857e10",
+   "id": "b9c09126",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -822,7 +822,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "36623fc5",
+   "id": "0f5bbb23",
    "metadata": {},
    "source": [
     "Solve using PETSc MatNest"
@@ -831,7 +831,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "f52297d5",
+   "id": "4a76f14e",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -842,7 +842,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c18bd7dc",
+   "id": "98c6c3e3",
    "metadata": {},
    "source": [
     "Solve using PETSc block matrices and an iterative solver"
@@ -851,7 +851,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "38deb64f",
+   "id": "cc36439b",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -862,7 +862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "30d2159f",
+   "id": "1608e9c5",
    "metadata": {},
    "source": [
     "Solve using PETSc block matrices and an LU solver"
@@ -871,7 +871,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "451a74d7",
+   "id": "dd58ae6c",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -882,7 +882,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95b6cc89",
+   "id": "93e8fb84",
    "metadata": {},
    "source": [
     "Solve using a non-blocked matrix and an LU solver"
@@ -891,7 +891,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "811e217a",
+   "id": "15e51982",
    "metadata": {},
    "outputs": [],
    "source": [