{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2D FEM Using Firedrake\n",
"\n",
"Copyright (C) 2020 Andreas Kloeckner\n",
"\n",
"\n",
"MIT License\n",
"Permission is hereby granted, free of charge, to any person obtaining a copy\n",
"of this software and associated documentation files (the \"Software\"), to deal\n",
"in the Software without restriction, including without limitation the rights\n",
"to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n",
"copies of the Software, and to permit persons to whom the Software is\n",
"furnished to do so, subject to the following conditions:\n",
"\n",
"The above copyright notice and this permission notice shall be included in\n",
"all copies or substantial portions of the Software.\n",
"\n",
"THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n",
"IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n",
"FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n",
"AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n",
"LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n",
"OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n",
"THE SOFTWARE.\n",
""
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"from firedrake import *\n",
"import numpy as np\n",
"import numpy.linalg as la\n",
"import firedrake.mesh as fd_mesh\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mesh the Domain\n",
"\n",
"This uses [meshpy](https://documen.tician.de/meshpy/), which under the hood uses [Triangle](https://www.cs.cmu.edu/~quake/triangle.html).\n",
"\n",
"`pip install meshpy` to install.\n",
"\n",
"NB: Triangle is *not* open-source software. If you are looking for a quality mesher that is open-source (but a bit more complex to use), look at [Gmsh](http://gmsh.info/)."
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
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