{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "\n",
    "<center>\n",
    "<h1>An introduction to FEniCS</h1>\n",
    "<br/>\n",
    "<img src='fenics_logo.png' alt='Scaling test'  width='200'>\n",
    "\n",
    "<br/>\n",
    "<h3>Simon Funke</h3>\n",
    "<br/>\n",
    "12th October 2016, UNISA Symposium\n",
    "<br/>\n",
    "Contributors: Hans Petter Langtangen, Anders Logg, Marie E. Rognes, André Massing\n",
    "</center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# Contents\n",
    "\n",
    "* What is FEniCS?\n",
    "* *Hello world* for scientific computing\n",
    "* The Gray-Scott equations\n",
    "* Installation and getting started\n",
    "\n",
    "Slides URL: goo.gl/pR68a5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# What is FEniCS?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## FEniCS is an automated programming environment for differential equations\n",
    "<center>\n",
    "<img src='fenics_webpage.png' alt='Scaling test'  width='800'>\n",
    "http://fenicsproject.org/\n",
    "</center>\n",
    "\n",
    "* C++/Python library\n",
    "* Initiated 2003 in Chicago\n",
    "* 1000–2000 monthly downloads\n",
    "* Licensed under the GNU LGPL"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Collaborators\n",
    "\n",
    "* Simula Research Laboratory\n",
    "* University of Cambridge\n",
    "* University of Chicago\n",
    "* Texas Tech University\n",
    "* KTH Royal Institute of Technology \n",
    "* Chalmers University of Technology\n",
    "* Imperial College London\n",
    "* University of Oxford\n",
    "* Charles University in Prague\n",
    "* ..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## FEniCS uses code generation to combine generality with performance\n",
    "\n",
    "<center><img src='compiler.svg' alt='Compiler'  width='800'></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Some PDEs that have been solved with FEniCS "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "* Burgers\n",
    "* Navier-Stokes\n",
    "* Stokes + mantle rheology\n",
    "* Stokes + ice rheology\n",
    "* Saint Venant + wetting/drying\n",
    "* Cahn-Hilliard\n",
    "* Gray-Scott\n",
    "* Shallow ice\n",
    "* Blatter-Pattyn\n",
    "* Quasi-geostrophic\n",
    "* Viscoelasticity\n",
    "* Gross-Pitaevskii\n",
    "* Yamabe\n",
    "* Image registration\n",
    "* Bidomain"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## FEniCS code can be readable and scale with mathematical complexity\n",
    "<center><img src='stokes1.png' alt='Compiler'  width='1024'></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## FEniCS provides a wide range of (mixed) finite element spaces\n",
    "<center><img src='stokes2.png' alt='Compiler'  width='1024'></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## FEniCS provides an expressive form language close to mathematical syntax\n",
    "<center><img src='stokes3.png' alt='Compiler'  width='1024'></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## FEniCS can be high-performant"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><img src='richardsonwellsarcherscaling.svg' alt='Scaling test'  width='900'>\n",
    "<small>Authors: Chris N. Richardson, Garth Wells<br/> https://figshare.com/articles/Parallel_scaling_of_DOLFIN_on_ARCHER/1304537</center></small>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## The *Hello world* for scientific computing in FEniCS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Our goal**: Solve the Poisson problem:\n",
    "\n",
    "Find $u$ which solves \n",
    "\n",
    "\\begin{align*}\n",
    "- \\Delta u = f && \\text{ in } \\Omega, \\\\\n",
    "u = u_0 && \\text{ on } \\partial \\Omega,\n",
    "\\end{align*}\n",
    "\n",
    "with $u_0 = 1 + x^2 + 2y^2$ and $f=6$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The Poisson equation arises in:\n",
    "* heat conduction, electrostatics, diffusion of substances, twisting of elastic rods, inviscid fluid flow, water waves, magnetostatics\n",
    "* as part of numerical splitting strategies of more complicated systems of PDEs, in particular the Navier–Stokes equations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Solving a PDE in FEniCS\n",
    "Solving a physical problem with FEniCS consists of the\n",
    "following steps:\n",
    "\n",
    "1. Identify the PDE and its boundary conditions\n",
    "2. Reformulate the PDE problem as a variational problem\n",
    "3. Make a Python program where the formulas in the variational problem are coded, along with definitions of $f$, $u_0$ and a mesh for $\\Omega$\n",
    "4. Add statements in the program for solving the variational problem and visualizing the results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## The Finite Element Method Recipe\n",
    "<center><img src='fem_steps.png' alt='FEM steps'  width='800'>\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step 1: Deriving the variational formulation\n",
    "\n",
    "The simple recipe is: \n",
    "\n",
    "Multiply the PDE by a test function $v$ and\n",
    "integrate over $\\Omega$:\n",
    "\\begin{equation*}\n",
    "-\\int_\\Omega (\\Delta u)v \\text{d}x = \\int_\\Omega fv\\text{d}x\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Then integrate by parts and set $v = 0$ on the Dirichlet boundary:\n",
    "\\begin{equation*}\n",
    "-\\int_\\Omega (\\Delta u) v \\text{d}x\n",
    "= \\int_\\Omega \\nabla u\\cdot\\nabla v\\text{d}x -\n",
    "\\underbrace{\\int_{\\partial\\Omega} \\frac{\\partial u}{\\partial n} v\\text{d}s}_{\\color{red}{=0}}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "We find that:\n",
    "\\begin{equation*}\n",
    "\\int_\\Omega\\nabla u\\cdot\\nabla v\\text{d}x = \\int_\\Omega fv\\text{d}x\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Canonical variational problem\n",
    "  The following canonical notation is used in FEniCS: find\n",
    "  $u \\in V$ such that\n",
    "  \\begin{equation*}\n",
    "    a(u, v) = L(v)\n",
    "  \\end{equation*}\n",
    "  for all $v \\in \\hat{V}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "  For Poisson's equation, we have\n",
    "  \\begin{align*}\n",
    "    a(u, v) &= \\int_{\\Omega} \\nabla u \\cdot \\nabla v \\text{d}x\n",
    "    \\\\\n",
    "    L(v) &= \\int_{\\Omega} fv \\text{d}x\n",
    "  \\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "  $a(u, v)$ is a **bilinear form** and $L(v)$ is a **linear form**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Implementation in FEniCS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x7fc7aa2af850>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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2ftaeE/p7PByNvVm+ke9ZoCGEOeAK4HrgbmB7COEeEdkmIpcMjvkf4DERuRv4HvDBUUGo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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc7b1563d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fenics import *\n",
    "# Create mesh and define function space\n",
    "mesh = UnitSquareMesh(32, 32)\n",
    "V = FunctionSpace(mesh, 'P', 1)\n",
    "\n",
    "# Define boundary condition\n",
    "u_D = Expression('1 + x[0]*x[0] + 2*x[1]*x[1]', degree=2)\n",
    "\n",
    "def boundary(x, on_boundary):\n",
    "    return on_boundary\n",
    "\n",
    "bc = DirichletBC(V, u_D, boundary)\n",
    "\n",
    "# Define variational problem\n",
    "u = TrialFunction(V)\n",
    "v = TestFunction(V)\n",
    "f = Constant(-9.0)\n",
    "a = dot(grad(u), grad(v))*dx\n",
    "L = f*v*dx\n",
    "\n",
    "# Compute solution\n",
    "u = Function(V)\n",
    "solve(a == L, u, bc)\n",
    "\n",
    "# Plot solution\n",
    "plot(u)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: the first line\n",
    "\n",
    "  The first line of a FEniCS program usually begins with\n",
    "\n",
    "```python\n",
    "from fenics import *\n",
    "```\n",
    "\n",
    "This imports key classes like **UnitSquareMesh**, **FunctionSpace**,\n",
    "**Function** and so forth, from the FEniCS user interface\n",
    "(DOLFIN)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Creating a mesh\n",
    "\n",
    "Next, we create a mesh of our domain $\\Omega$:\n",
    "\n",
    "```python\n",
    "mesh = UnitSquareMesh(8, 8)\n",
    "```\n",
    "This defines a mesh of $8 \\times 8 \\times 2 = 128$ triangles of the\n",
    "unit square."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Other useful classes for creating built-in meshes include\n",
    "* UnitIntervalMesh\n",
    "* UnitCubeMesh\n",
    "* UnitCircleMesh\n",
    "* UnitSphereMesh\n",
    "* RectangleMesh\n",
    "* BoxMesh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Creating more complex meshes\n",
    "\n",
    "More complex geometries can be built using Constructive Solid\n",
    "Geometry (CSG) through the FEniCS component **mshr**:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc7b15a7710>,\n",
       " <matplotlib.lines.Line2D at 0x7fc7b15a78d0>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6dInY2FiRZOaSPMwuID4+Ppw8eVJFKpPJZOJ9AURERBAdHa1mvpDL5UxPT6vYFJXEGRIS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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc7b26b2f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mshr import *\n",
    "r = Rectangle(Point(0.5, 0.5), Point(3.5, 1.5))\n",
    "c = Circle(Point(1.0, 1.0), 0.2)\n",
    "g = r - c\n",
    "mesh = generate_mesh(g, 20)\n",
    "plot(mesh)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Loading external meshes\n",
    "\n",
    "Meshes created with external software (for example **Gmsh** can be converted into FEniCS own mesh formated with:\n",
    "```bash\n",
    "dolfin-convert dolfin.msh dolfin.xml.gz\n",
    "```\n",
    "and loaded with"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc7b1486350>,\n",
       " <matplotlib.lines.Line2D at 0x7fc7b1486510>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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w8+ZNIiIiBPlpbGyMTCYjLS2NgIAAdHR06O/v5/r162zcuFGDH3ByciI7OxsD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\nEUNJGBgYeMRQEgYGBh4xlISBgYFH/h9n+4yFbLuSfwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc7b1543890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mesh = Mesh(\"dolfin.xml.gz\")\n",
    "plot(mesh)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Creating a function space\n",
    "\n",
    "  The following line creates a finite element function space relative to this mesh:\n",
    "\n",
    "```python\n",
    "V = FunctionSpace(mesh, \"Lagrange\", 1)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "  The second argument specifies the type of element, while the third\n",
    "  argument is the degree of the basis functions on the element"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Other types of elements include\n",
    "* `\"Discontinuous Lagrange\"`\n",
    "* `\"Brezzi-Douglas-Marini\"`\n",
    "* `\"Raviart-Thomas\"`\n",
    "* `\"Crouzeix-Raviart\"`\n",
    "* `\"Nedelec 1st kind H(curl)\"`\n",
    "* `\"Nedelec 2nd kind H(curl)\"`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: defining expressions\n",
    "\n",
    "Next, we define an expression for the boundary value:\n",
    "```python\n",
    "u0 = Expression(\"1 + x[0]*x[0] + 2*x[1]*x[1]\", degree=2)\n",
    "```\n",
    "The formula must be written in C++ syntax, and\n",
    "the polynomial degree must be specified."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The **Expression** class is very flexible and can be used to\n",
    "create complex user-defined expressions. For more information, try\n",
    "```python\n",
    "from fenics import *\n",
    "help(Expression)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: defining a boundary condition\n",
    "\n",
    "The following code defines a Dirichlet boundary condition:\n",
    "```python\n",
    "bc = DirichletBC(V, u0, \"on_boundary\")\n",
    "```\n",
    "\n",
    "This boundary condition states that a function in the function space\n",
    "defined by **V** should be equal to **u0** on the domain defined\n",
    "by **\"on_boundary\"**\n",
    "\n",
    "Note that the above line does not yet apply the boundary condition\n",
    "to all functions in the function space."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: more about defining domains\n",
    "For a Dirichlet boundary condition, a simple domain can be defined\n",
    "by a string\n",
    "```python\n",
    "\"on_boundary\" # The entire boundary\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Alternatively, domains can be defined by subclassing **SubDomain**:\n",
    "```python\n",
    "class Boundary(SubDomain):\n",
    "    def inside(self, x, on_boundary):\n",
    "        return on_boundary\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "There are many more possibilities, see\n",
    "```python\n",
    "help(SubDomain)\n",
    "help(DirichletBC)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: defining the right-hand side\n",
    "\n",
    "The right-hand side $f = - 6$ may be defined as follows:\n",
    "```python\n",
    "f = Expression(\"-6.0\", degree=0)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "or (more efficiently) as\n",
    "```python\n",
    "f = Constant(-6.0)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: defining variational problems\n",
    "\n",
    "Variational problems are defined in terms of **trial** and\n",
    "**test** functions:\n",
    "\n",
    "```python\n",
    "u = TrialFunction(V)\n",
    "v = TestFunction(V)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "We now have all the objects we need in order to specify the bilinear\n",
    "form **a(u,v)** and the linear form **L(v)**:\n",
    "\n",
    "```python\n",
    "a = inner(grad(u), grad(v))*dx\n",
    "L = f*v*dx\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: solving variational problems\n",
    "\n",
    "Once a variational problem has been defined, it may be solved\n",
    "by calling the `solve` function:\n",
    "\n",
    "```python\n",
    "u = Function(V)\n",
    "solve(a == L, u, bc)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Note the reuse of the variable name *u* as both a *TrialFunction*\n",
    "in the variational problem and a *Function* to store the solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: post-processing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The solution and the mesh may be plotted by simply calling:\n",
    "```python\n",
    "plot(u)\n",
    "pylab.show()\n",
    "plot(mesh)\n",
    "pylab.show()\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "For postprocessing in ParaView or MayaVi, store the solution in VTK\n",
    "format:\n",
    "```python\n",
    "file = File(\"poisson.pvd\")\n",
    "file << u\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Fun break - Welcome to the FEniCS Twitter Bot\n",
    "\n",
    "<center>\n",
    "<img src='fenicsbot.png' alt='Twitter FEniCS bot'  width='1024'>\n",
    "https://twitter.com/fenicsbot\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Complex Patterns in a simple system - the Gray-Scott equations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Can we model patterns that occur in nature?\n",
    "\n",
    "<center>\n",
    "<img src='zebra.jpg' alt='Zebra: Source wikipedia'  width='500'>\n",
    "<img src='butterfly.jpg' alt='Zebra: Source wikipedia'  width='500'>\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## The Gray-Scott equations describe for formation of such patterns\n",
    "\n",
    "The Gray-Scott equations are:                                                                                                  \n",
    "\n",
    "\\begin{equation}\n",
    "\\begin{aligned}\n",
    "\\frac{\\partial u}{\\partial t} & = D_u \\Delta u - u v^2 + F(1-u) \\qquad \\text{in } \\Omega, \\\\  \n",
    "\\frac{\\partial v}{\\partial t} & = D_v \\Delta v + u v^2 - (F+k)v \\qquad \\text{in } \\Omega,     \n",
    "\\end{aligned} \n",
    "\\end{equation}       \n",
    "where $u$ and $v$ are the two unknowns, $D_u$ and $D_v$ are the diffusion coefficients, $k$ is the rate constant of the second reaction and $F$ the feed rate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In addition we need initial and boundary conditions:\n",
    "\\begin{equation}\n",
    "\\begin{aligned}\n",
    "u = u_0, \\quad v = v_0 \\qquad \\text{ at } t = 0\\\\\n",
    "\\nabla u \\cdot n = 0, \\quad \\nabla v \\cdot n = 0 \\qquad \\text{ on } \\partial \\Omega\n",
    "\\end{aligned} \n",
    "\\end{equation}       "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "**New challenges:** This is a time-dependent, coupled, non-linear PDE!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## The solution pattern varies depending on the choice of `k` and `F` \n",
    "\n",
    "<center>\n",
    "<img src='gray_scott_solutions.png' alt='Zebra: Source wikipedia'  width='500'>\n",
    "<small>From: *The (unfinished) PDE coffee table book, chapter 22*</small>\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Discretization in time\n",
    "\n",
    "We choose to discretize the backward Euler.\n",
    "\n",
    "Given the solution $u_0, v_0$ at the time $t$, we\n",
    "can compute at time $t+ts$ with:\n",
    "\n",
    "\\begin{equation}                                                                                                                                                                                            \n",
    "\\begin{aligned}                                                                                                                                                                                             \n",
    "\\frac{u - u_0}{ts} & = D_u \\nabla^2 u - u v^2 + F(1-u), \\\\                                                                                                                                       \n",
    "\\frac{v - v_0}{ts} & = D_v \\nabla^2 v + u v^2 - (F+k)v,                                                                                                                                          \n",
    "\\end{aligned}                                                                                                                                           \n",
    "\\end{equation}   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "At each time step, we now have a steady PDE for which we can use FEniCS!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Derivation of the weak-formulation\n",
    "\n",
    "We multiply the first equation with test functions $p$ and the second equation with $q$ and integrate over the domain:\n",
    "\n",
    "\\begin{equation}                                                                                                                                                                                            \n",
    "\\begin{aligned}                                                                                                                                                                                             \n",
    "\\int_\\Omega \\frac{u - u_0}{ts} p \\text{d} x & = \\int_\\Omega D_u \\Delta up - u v^2p+ F(1-u) p \\text{d}x, \\\\                                                                                                       \n",
    "\\int_\\Omega \\frac{v - v_0}{ts} q \\text{d} x& = \\int_\\Omega D_v \\Delta vq + u v^2q - (F+k)v q\\text{d}x.                                                                                                                              \n",
    "\\end{aligned}                                                                                                                                           \n",
    "\\end{equation}  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Next, we integrate by parts the terms with second order derivatives:\n",
    "\\begin{equation}                                                                                                                                                                                            \n",
    "\\begin{aligned}                                                                                                                                                                                             \n",
    "\\int_\\Omega \\frac{u - u_0}{ts} p \\text{d} x & =  \\int_\\Omega - D_u \\nabla u \\cdot \\nabla p - u v^2 p + F(1-u) p \\text{d}x + \\int_{\\partial \\Omega} \\underbrace{D_u \\nabla u \\cdot n p}_{\\color{red}{=0}} \\text{d}s, \\\\                                                                                                       \n",
    "\\int_\\Omega \\frac{v - v_0}{ts} q \\text{d} x& = \\int_\\Omega - D_v \\nabla v \\cdot \\nabla q  + u v^2 q- (F+k)vq\\text{d}x + \\int_{\\partial \\Omega} \\underbrace{D_v \\nabla v \\cdot n q}_{\\color{red}{=0}}\\text{d}s.                                                       \n",
    "\\end{aligned}                                                                                                                                           \n",
    "\\end{equation}  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Canonical form for nonlinear variational problems\n",
    "\n",
    "The following canonical notation is used in FEniCS for (possibly)\n",
    "nonlinear problems:\n",
    "\n",
    "  Find $z \\in Z$ such that\n",
    "  \\begin{equation*}\n",
    "    F(z; y) = 0\n",
    "  \\end{equation*}\n",
    "  for all testfunctions $y$.\n",
    "\n",
    "**Note**:\n",
    "Here, $z$ is a function, and $y$ is a test function, and so $F$ is a **linear form**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: Canonical form for Gray-Scott equations\n",
    "\n",
    "The functions are $z = (u, v)$, $y = (p, q)$ and the form $F$ is\n",
    "\\begin{equation*}\n",
    "\\begin{split}\n",
    "F(z; y) =\n",
    "\\int_\\Omega \\frac{u - u_0}{ts} p \\text{d} x & +  \\int_\\Omega  D_u \\nabla u \\cdot \\nabla p + u v^2 p - F(1-u) p \\text{d}x +\\\\                                                                                                    \n",
    "\\int_\\Omega \\frac{v - v_0}{ts} q \\text{d} x& + \\int_\\Omega D_v \\nabla v \\cdot \\nabla q - u v^2 q + (F+k)vq\\text{d}x. \n",
    "\\end{split}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The FEniCS implementation is almost a 1-1 copy of the maths:\n",
    "```python\n",
    "F = (((u - u0)/ts)*p * dx + \n",
    "     Du * inner(grad(u), grad(p)) * dx +\n",
    "     u*v*v*p * dx - \n",
    "     Fr * (1-u)*p * dx +\n",
    "     ((v - v0)/ts)*q* dx + \n",
    "     Dv * inner(grad(v), grad(q)) * dx -\n",
    "     u*v*v*q * dx + \n",
    "     (k+Fr)*v*q * dx)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "##  Step by step: creating mixed function spaces\n",
    "\n",
    "Mixed elements are created by taking the product of more basic elements\n",
    "```python\n",
    "P1 = FiniteElement(\"Lagrange\", triangle, 1)\n",
    "P1P1 = P1 * P1\n",
    "Z = FunctionSpace(mesh, P1P1)\n",
    "```\n",
    "\n",
    "You can define functions on mixed spaces and split into components:\n",
    "```python\n",
    "z = Function(Z)\n",
    "(u, v) = split(z)\n",
    "```\n",
    "... and arguments:\n",
    "```python\n",
    "(p, q) = TestFunctions(Z)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Step by step: solving (nonlinear) variational problems\n",
    "\n",
    "Once a variational problem has been defined, it may be solved\n",
    "by calling the *solve* function (as for linear problems):\n",
    "```python\n",
    "solve(F == 0, z)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "For time-dependent problems, we wrap the *solve* in a time-loop of the form:\n",
    "```python\n",
    "while t < T:\n",
    "    solve(F == 0, z)\n",
    "    z0.assign(z)\n",
    "    t += ts  \n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# A full FeniCS implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     "output_type": "execute_result"
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iO9RHILb9fDuAqgCcc25C/JqxAM5HbAv0iqLiEfHrKnVMgveqvlQdlnPMC/5O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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc7a8c20410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from dolfin import *\n",
    "import random\n",
    "t = 0. # Initial time\n",
    "T = 1000. # Final time\n",
    "ts = 10. # Timestep\n",
    "\n",
    "# Define mesh and function spaces\n",
    "n = 64; d = 2.5\n",
    "mesh = RectangleMesh(Point(0.0, 0.0), Point(d, d), n, n)\n",
    "\n",
    "P1 = FiniteElement(\"Lagrange\", triangle, 1)\n",
    "P1P1 = P1 * P1\n",
    "Z = FunctionSpace(mesh, P1P1)\n",
    "p, q = TestFunctions(Z)\n",
    "\n",
    "# Set a randomized initial condition\n",
    "class RandExpression(Expression):\n",
    "    def eval(self, value, x):\n",
    "        if abs(x[0] - d/2) <= 0.1 and abs(x[1] - d/2) <= 0.1:\n",
    "            value[0] = 0.5 * (1.0 + 0.01 * random.random())\n",
    "            value[1] = 0.25 * (1.0 + 0.01 * random.random())\n",
    "        else:\n",
    "            value[0] = 1. * (1.0 + 0.01 * random.random())\n",
    "            value[1] = 0. * (1.0 + 0.01 * random.random())\n",
    "\n",
    "    def value_shape(self):\n",
    "        return (2,)\n",
    "\n",
    "z = Function(Z)\n",
    "(u, v) = split(z)\n",
    "z0 = interpolate(RandExpression(), Z)\n",
    "(u0, v0) = split(z0)\n",
    "\n",
    "# Define the model constants\n",
    "Du = Constant(2*10**-5) # Diffusion coefficient for variable u\n",
    "Dv = Constant(10**-5) # Diffusion coefficient for variable v\n",
    "k = Constant(0.055) # Rate constant for the second reaction\n",
    "Fr = Constant(0.02) # Feed rate\n",
    "\n",
    "# Define the weak formulation of the Gray-Scott equations\n",
    "F = (((u - u0)/ts)*p*dx + Du * inner(grad(u), grad(p)) * dx + u*v*v*p * dx - Fr * (1-u)*p * dx +\n",
    "     ((v - v0)/ts)*q*dx + Dv * inner(grad(v), grad(q)) * dx - u*v*v*q * dx + (k+Fr) * v*q * dx)\n",
    "\n",
    "# Run the timeloop\n",
    "vtu = File(\"results/z.pvd\")\n",
    "while t < T:\n",
    "    solve(F == 0, z)\n",
    "    if t%25 == 0:\n",
    "      vtu << (z, t)\n",
    "      print \"Timelevel \", t\n",
    "    z0.assign(z)\n",
    "    t += ts\n",
    "plot(z0[0])   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Installation and getting help"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Installation using docker (Windows/MacOSX/Linux)\n",
    "\n",
    "<img src=\"large_v-trans.png\" alt=\"Docker\" style=\"width: 200px;\"/>\n",
    "\n",
    "\n",
    "1. Install Docker for your platform: Windows, Mac or Linux.\n",
    "\n",
    "2. Install the FEniCS Docker script:\n",
    "```bash\n",
    "curl -s https://get.fenicsproject.org | bash\n",
    "```\n",
    "3. Run\n",
    "```bash\n",
    "fenicsproject run\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## Installation using Ubuntu packages (Ubuntu Linux)\n",
    "\n",
    "FEniCS offers Debian and Ubuntu packages for installation:\n",
    "\n",
    "```bash\n",
    "add-apt-repository ppa:fenics-packages/fenics\n",
    "apt-get update\n",
    "apt-get install fenics\n",
    "apt-get dist-upgrade\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### How to get started?\n",
    "* The (not yet finalised) FEniCS tutorial\n",
    "http://hplgit.github.io/fenics-tutorial/doc/web\n",
    "\n",
    "* Official FEniCS documentation https://fenicsproject.org/documentation/\n",
    "\n",
    "* The FEniCS book\n",
    "<img src=\"fenicsbook.jpg\" alt=\"FeniCS book\" style=\"width: 400px;\"/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Where to get help?\n",
    "\n",
    "FEniCS Question and Answer Forum \n",
    "\n",
    "<center>\n",
    "<img src=\"fenicsqa.png\" alt=\"FeniCS book\" style=\"width: 1024px;\"/>\n",
    "https://fenicsproject.org/qa/\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Summary\n",
    "\n",
    "FEniCS automates the Finite Element Method.\n",
    "\n",
    "You can use it to solve;\n",
    "* linear and non-linear PDEs;\n",
    "* steady-state and time-dependent PDEs;\n",
    "* single and coupled PDEs;\n",
    "* to run in serial or parallel;\n",
    "* in 1D, 2D and 3D;\n",
    "* with various discretization options. \n",
    "\n",
    "**Get started at www.fenicsproject.org**\n",
    "\n",
    "Slides URL: goo.gl/pR68a5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## Commands required to run these lecture slides\n",
    "```bash\n",
    "fenicsproject notebook slides\n",
    "fenicsproject start slides\n",
    "```\n",
    "For presentation, install the following dependencies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "- Validating: \u001b[32mOK\u001b[0m\n",
      "\n",
      "    To initialize this nbextension in the browser every time the notebook (or other app) loads:\n",
      "    \n",
      "          jupyter nbextension enable rise --user --py\n",
      "    \n",
      "Enabling notebook extension rise/main...\n",
      "      - Validating: \u001b[32mOK\u001b[0m\n"
     ]
    }
   ],
   "source": [
    "!pip install RISE --user\n",
    "!jupyter nbextension install rise --py --user\n",
    "!jupyter nbextension enable rise --py --user"
   ]
  }
 ],
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   "file_extension": ".py",
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