fenics_matplotlib.ipynb

{
 "metadata": {
  "name": "",
  "signature": "sha256:97455bc83520acad96e35909599e80a95c254abc6860a438cbc8b7c5c344218f"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "\n",
      "import matplotlib.pyplot as plt\n",
      "import matplotlib.tri as tri\n",
      "from dolfin import *\n",
      "import numpy as np\n",
      "\n",
      "domain = Rectangle(-1, -1, 1, 1) - Circle(0, 0, 0.5)\n",
      "mesh = Mesh(domain, 20)\n",
      "n = mesh.num_vertices()\n",
      "d = mesh.geometry().dim()\n",
      "\n",
      "# Create the triangulation\n",
      "mesh_coordinates = mesh.coordinates().reshape((n, d))\n",
      "triangles = np.asarray([cell.entities(0) for cell in cells(mesh)])\n",
      "triangulation = tri.Triangulation(mesh_coordinates[:, 0],\n",
      "                                  mesh_coordinates[:, 1],\n",
      "                                  triangles)\n",
      "\n",
      "# Plot the mesh\n",
      "plt.figure()\n",
      "plt.triplot(triangulation)\n",
      "plt.savefig('mesh.svg')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kgUCAkydPQkNDA9OmTZNrx/Utjh8/LnOB09DQgJcvX+LYsWNYsWIFDAwMmDY1NzfHypUr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\ngr85CkOvQIECBX9zFIZegQIFCv7m/B8ZRKzbb2KTOwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa6ff97cc>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Plot of scalar field\n",
      "V = FunctionSpace(mesh, 'CG', 2)\n",
      "f_exp = Expression('sin(2*pi*(x[0]*x[0]+x[1]*x[1]))')\n",
      "f = interpolate(f_exp, V)\n",
      "\n",
      "# Get the z values for each vertex\n",
      "cmap = plt.cm.jet\n",
      "plt.figure()\n",
      "z = np.asarray([f(point) for point in mesh_coordinates])\n",
      "plt.tripcolor(triangulation, z, cmap=cmap)  # alt plt.tricontourf(...)\n",
      "plt.colorbar()\n",
      "plt.savefig('f.svg')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:UFL:No integrals left after transformation, returning empty form.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:FFC:Reusing form from cache.\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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uDp/GizNHsS7lAg0vZZmMAbqQg8iYkU+40FhR8jtSJmQS3Fs58Z8QH/r+7L1L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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb54bb30c>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Plot of vector field\n",
      "W = VectorFunctionSpace(mesh, 'DG', 1)\n",
      "gradf = project(grad(f), W)\n",
      "z = np.asarray([gradf(point) for point in mesh_coordinates])\n",
      "\n",
      "z_mag = np.sqrt(np.sum((z*z), axis=1))\n",
      "plt.figure()\n",
      "plt.quiver(mesh_coordinates[:, 0], mesh_coordinates[:, 1], z[:, 0], z[:, 1],\n",
      "           z_mag, cmap=cmap)\n",
      "plt.colorbar()\n",
      "plt.savefig('gradf.svg')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:UFL:No integrals left after transformation, returning empty form.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:FFC:Reusing form from cache.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:UFL:No integrals left after transformation, returning empty form.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:UFL:No integrals left after transformation, returning empty form.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:FFC:Reusing form from cache.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:UFL:No integrals left after transformation, returning empty form.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "DEBUG:FFC:Reusing form from cache.\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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KSxVzHUMTl4UYPCvEAMFB3ivENsxs5X2yOUB/XqIzExwKsRUTm/mEVDYxmOl0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       "text": [
        "<matplotlib.figure.Figure at 0xa61ef0cc>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import SVG\n",
      "SVG(filename='mesh.svg')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "svg": [
        "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
        " <defs>\n",
        "  <style type=\"text/css\">\n",
        "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
        "  </style>\n",
        " </defs>\n",
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\" M0 288 L432 288 L432 0 L0 0 z \" style=\"fill:#ffffff;\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
        "    <path d=\" M54 252 L388.8 252 L388.8 28.8 L54 28.8 z \" style=\"fill:#ffffff;\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
        "    <path clip-path=\"url(#p124b8dd147)\" d=\" M298.729 161.754 L303.492 151.286 M290.994 171.401 L298.729 161.754 M280.585 179.857 L290.994 171.401 M267.901 186.796 L280.585 179.857 M253.431 191.952 L267.901 186.796 M237.729 195.128 L253.431 191.952 M221.4 196.2 L237.729 195.128 M205.071 195.128 L221.4 196.2 M189.369 191.952 L205.071 195.128 M174.899 186.796 L189.369 191.952 M162.215 179.857 L174.899 186.796 M151.806 171.401 L162.215 179.857 M144.071 161.754 L151.806 171.401 M139.308 151.286 L144.071 161.754 M137.7 140.4 L139.308 151.286 M139.308 129.514 L137.7 140.4 M144.071 119.046 L139.308 129.514 M151.806 109.399 L144.071 119.046 M162.215 100.943 L151.806 109.399 M174.899 94.004 L162.215 100.943 M189.369 88.8475 L174.899 94.004 M205.071 85.6722 L189.369 88.8475 M221.4 84.6 L205.071 85.6722 M237.729 85.6722 L221.4 84.6 M253.431 88.8475 L237.729 85.6722 M267.901 94.004 L253.431 88.8475 M280.585 100.943 L267.901 94.004 M290.994 109.399 L280.585 100.943 M298.729 119.046 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