C++/Python FEniCS/dolfinx@5dce739

FEniCS · Sep 19, 2024 · 10c44b2 · 10c44b2
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diff --git a/dolfinx/main/cpp/demos/demo_biharmonic.html b/dolfinx/main/cpp/demos/demo_biharmonic.html
@@ -138,8 +138,8 @@ <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-36fe166e-7bcc-4894-ae6d-bff3cfb9b398">
-<span class="eqno">(1)<a class="headerlink" href="#equation-36fe166e-7bcc-4894-ae6d-bff3cfb9b398" title="Permalink to this equation"></a></span>\[\begin{align}
+<div class="amsmath math notranslate nohighlight" id="equation-4431ca32-630b-489c-ae46-66002675f32f">
+<span class="eqno">(1)<a class="headerlink" href="#equation-4431ca32-630b-489c-ae46-66002675f32f" 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>

diff --git a/...nx/main/python/_downloads/9561cf6cd1a70079b986f4eb31580cbd/demo_poisson_matrix_free.ipynb b/...nx/main/python/_downloads/9561cf6cd1a70079b986f4eb31580cbd/demo_poisson_matrix_free.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "ebd6843a",
+   "id": "c7e281a2",
    "metadata": {},
    "source": [
     "# Matrix-free conjugate gradient solver for the Poisson equation\n",
@@ -72,7 +72,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "906988d4",
+   "id": "fbdbc1cb",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -82,7 +82,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "c8d539f0",
+   "id": "33fc35fb",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -92,7 +92,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "074ba9a4",
+   "id": "80d678cb",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -104,7 +104,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51ba8f28",
+   "id": "5a8a6cc7",
    "metadata": {},
    "source": [
     "We begin by using {py:func}`create_rectangle\n",
@@ -117,7 +117,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "d278f33d",
+   "id": "34b57621",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -130,7 +130,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "84d13a13",
+   "id": "c7ba3213",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -141,7 +141,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6721888e",
+   "id": "5236efbc",
    "metadata": {},
    "source": [
     "The second argument to {py:class}`functionspace\n",
@@ -160,7 +160,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "e1dcf60b",
+   "id": "e2d6e7fc",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -171,7 +171,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6dfac161",
+   "id": "e70c5112",
    "metadata": {},
    "source": [
     "We now find the degrees of freedom that are associated with the boundary\n",
@@ -182,7 +182,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "97e4e768",
+   "id": "47b518a7",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -191,7 +191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aafdbbca",
+   "id": "06ba4947",
    "metadata": {},
    "source": [
     "and use {py:func}`dirichletbc <dolfinx.fem.dirichletbc>` to define the\n",
@@ -204,7 +204,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "e452e17a",
+   "id": "b60706da",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -215,7 +215,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de6d5b59",
+   "id": "37f153bd",
    "metadata": {},
    "source": [
     "Next, we express the variational problem using UFL."
@@ -224,7 +224,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "3edc2c41",
+   "id": "1931d324",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -239,7 +239,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8869ec18",
+   "id": "33253d8e",
    "metadata": {},
    "source": [
     "For the matrix-free solvers we also define a second linear form `M` as\n",
@@ -255,7 +255,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "e31c84e3",
+   "id": "f3e807e2",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d8b5c95",
+   "id": "4964cc83",
    "metadata": {},
    "source": [
     "### Matrix-free conjugate gradient solver\n",
@@ -280,7 +280,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "6992007c",
+   "id": "1250e602",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -295,7 +295,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "a6a400f3",
+   "id": "0ae27c72",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -306,7 +306,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a08ddaa",
+   "id": "b15db386",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -318,7 +318,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "3d0fbe5e",
+   "id": "ea9394a3",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -341,7 +341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "da85757b",
+   "id": "1cfe54f1",
    "metadata": {
     "lines_to_next_cell": 2
    },
@@ -357,7 +357,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "9f8e6fc7",
+   "id": "0dfce836",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -403,7 +403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2e69bc86",
+   "id": "c9d01b67",
    "metadata": {},
    "source": [
     "This matrix-free solver is now used to compute the finite element solution.\n",
@@ -414,7 +414,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "7b9361d0",
+   "id": "906f4327",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -426,7 +426,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "2192d516",
+   "id": "b76c9cea",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -437,7 +437,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "fdc9c4c6",
+   "id": "4cc336b6",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -449,7 +449,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "852a0584",
+   "id": "e12237f4",
    "metadata": {},
    "outputs": [],
    "source": [

diff --git a/dolfinx/main/python/_downloads/9ed4657d08dda04de30e6463e2f58d75/demo_mixed-poisson.ipynb b/dolfinx/main/python/_downloads/9ed4657d08dda04de30e6463e2f58d75/demo_mixed-poisson.ipynb
@@ -2,15 +2,15 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "a2973656",
+   "id": "6197ca95",
    "metadata": {},
    "source": [
     "# Mixed formulation for the Poisson equation"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "3fbaf1a5",
+   "id": "36c2cbbb",
    "metadata": {},
    "source": [
     "This demo illustrates how to solve Poisson equation using a mixed\n",
@@ -22,7 +22,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "68e087a3",
+   "id": "7649b6b8",
    "metadata": {},
    "source": [
     "```{admonition} Download sources\n",
@@ -103,7 +103,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "93839c22",
+   "id": "849471fe",
    "metadata": {},
    "outputs": [],
    "source": [