{ "metadata": { "name": "", "signature": "sha256:a750a45e68bf77e026f37103a50c3a7f505dbb0142ec314cd259e878da1c4223" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from dolfin import *\n", "from IPython.display import Image" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "mesh = UnitSquareMesh(6, 6)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "wiz = plot(mesh)\n", "wiz.write_png(\"mesh\")\n", "Image(\"mesh.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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"prompt_number": 32, "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": true, "input": [ "V = FunctionSpace(mesh, 'Lagrange', 1)" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "u0 = Expression('1 + x[0]*x[0] + 2*x[1]*x[1]')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "def u0_boundary(x, on_boundary):\n", " return on_boundary" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "bc = DirichletBC(V, u0, u0_boundary)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "u = TrialFunction(V)\n", "v = TestFunction(V)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "f = Constant(50.0)\n", "a = inner(nabla_grad(u), nabla_grad(v))*dx\n", "L = f*v*dx" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "# Compute solution\n", "u = Function(V)\n", "solve(a == L, u, bc)" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot solution and mesh\n", "wiz = plot(u)\n", "wiz.write_png(\"u\")\n", "Image(\"u.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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1cszI8BEtZe7jGQBNj6eTj02RYmMtVBJkg6zlsHLoPptDCSz1CG01sWSJ0T+r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