Ficks2nd-circle/ficks.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from fenics import *\n",
    "from dolfin import *\n",
    "import mshr\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "T = 60*60*5 #final step\n",
    "num_steps = 50\n",
    "dt = T/num_steps #step size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARAAAAD8CAYAAAC/+/tYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzsnXd4VPeV/j93RtKMGmqoIgkVQF1IIEAgTBG923RMNWDANnHiXW82my2/7DpxkvU6rtgxGNyppmN6F0UNhCqoN9R712gk3d8f4/muLsKJ18E18z6PHrh3bptyzz3nPe85R5JlGRNMMMGEbwLV930BJphgwo8XJgNiggkmfGOYDIgJJpjwjWEyICaYYMI3hsmAmGCCCd8YJgNiggkmfGOYDIgJJpjwjWEyICaYYMI3hsmAmGCCCd8YZt/3BXwTDBw4UPbx8fm+L8MEE36yuHXrVq0sy85/bbsfpQHx8fEhOTn5+74ME0z4yUKSpOKvs50phDHBBBO+MUwGxAQTTPjGMBkQE0ww4RvDZEBMMMGEbwyTATHBBBO+MR6JAZEkaZckSdWSJGV8xeuSJElvSpKUJ0lSmiRJI/q8tlaSpNwv/9Y+iusxwQQTvhs8Kg/kQ2DmX3h9FjD0y79NwLsAkiQ5Av8PGAOMBv6fJEkOj+iaTDDBhG8Zj0QHIsvyVUmSfP7CJguAj2VD/8R4SZLsJUlyByYB52RZrgeQJOkcBkO051FclwnfHvR6PV1dXVhYWKDT6ejq6qKkpISjR4+yaNEiZFlGp9ORl5dHdnY2bm5ujBw5EgsLC8zNzTlw4ADTpk1j2LBhaDQacRzj/034ceC7EpINAkr7LN//ct1Xre8HSZI2YfBe8Pb2/nau0oSHIjs7m9TUVIYMGUJtbS21tbXk5uZ+5fYHDx7st66yspIvvvhCse7s2bOcPXu237b+/v4MHDiQgQMHUl5ejre3N8OHD0eSpL/9zZjwSPGjUaLKsrwd2A4QFRVl6gT9LaCnp4ff//739PT0MGLECGEs2tvbAbh79y5qtZqBAweKfWxtbXnsscewsLDgyJEjYv3mzZvRaDS899576HQ6LC0t2bJlC52dnbz77rtiuyeeeAKdTsfJkyfFutbWVkpKStDr9QCkpKRw5swZnJ2dcXJy4s6dOwD8+te/xtzc/Fv9TEz4y/iuDEgZ4NVn2fPLdWUYwpi+6y9/R9f0d4+6ujoqKytpbm6msLCQoqIienp6ALh9+zZeXl4EBASQkpICgFqt5oUXXkClUvHKK68gyzKSJBEZGYmZmRmXLl2iq6uLjo4OMjMzGTBgADqdjqioKJKTkykrK6O2thYArVaLJEmEhYWRn58PgLW1NW1tbcycOZPBgweTk5PD3r17AbC0tESlUik8n5dffhk/Pz98fX1xdnbGy8sLKyur7/Ij/LvHd2VAjgFbJUnai4EwbZJluUKSpDPAy32I0+nAv3xH1/R3iZaWFgoKCsjPzyc9PV2sd3JyIiIigqSkJLEuIiKCESNGUF9fT0lJCQD79u1j5MiRyLLMxIkTuXLlCikpKQwdOpSmpiZmzZpFRUUF165dA8DT05NZs2aRm5vLyZMn6ejoIDg4GH9/f44fP05paSlHjhzBxcWFtWvX8vrrr5OZmYmPj48wLObm5tja2rJ27Vqqqqp47733AJAkidbWVi5cuCCuOTAwkKFDh+Ln54e9vf23/nn+veORGBBJkvZg8CQGSpJ0H0NmxRxAluU/AyeB2UAe0A489eVr9ZIkvQQYf7X/ZSRUTXh0qK2tZdu2bYp1Go1GsTxx4kTCwsJwc3Pj+PHjODo6cvz4cZqamtDpdAwdOpThw4dz4MABSksNtNWECRMoKCjg2rVrqFSGhN7gwYMJDAwUYcb9+/c5fPgwTU1N4lxjx44VROkHH3yAWq1m9erVWFlZMWzYMLKyspg6dSppaWmEhYXh6enJqVOnKCoqIj09HXNzcxwcHOjs7GTTpk1cunSJ69evi/Pdu3dP8d42bdqEu7v7I/xETTDiUWVhVvyV12Xgua94bRew61Fchwn/i87OTu7evUtKSoq44cHgVYwZMwadTseHH34o1h86dIjCwkLCw8MBiI2NJS8vj6tXrwIGEtTT01NxjtTUVMaNG8e+ffs4ceIEWq2Wuro6zp07p9iuvLxcsbxz505sbGzE8pgxY3B1dQUgODiYzMxMTp48iU6nY8SIEXh6ehIXF8fp06epr68nPDycwMBAdu/ezalTp0SIZW1tzT/8wz9QW1vL2bNnycvLA2D79u24u7sTGRlJSEgIWq1WGDwT/jb8aEhUE/46ZFmmtLSUDz74QKxzcnLC29tbhCCNjY24uroKw+Ds7Ex3dzchISFcu3aNwsJCwOC1jBo1SngSABcvXlSc79ixYwoSs7OzkwMHDuDi4sKaNWuIj4+noKCAJ598kri4OFJTUwGYPHky1dXVZGZmAnDjxg2KiooYNmwY/v7+WFhYkJaWhpOTE4MHD0aSJEaNGsWlS5cAsLe3F8TurVu3MDc3JywsjHv37iFJErIsi/cLMGnSJO7evcvJkycFWbt69Wp8fX1NmZ2/ESYD8iNHV1cXZWVllJeXk5KSQl1dnXgtKiqK2bNnc+jQISwtLZk8eTInT54kLS2NoqIi3N3dGTVqFMeOHWPYsGH4+Piwf/9+AC5fvszly5cV53ruuef47LPPaGxsBOCxxx6jpaVFYWQAQkJCUKvVzJw5k/fee4+DBw9SU1PDoEGDKCsrQ61WEx0dLQwIGPiMB89ZV1fHn//8ZxFGGfGgIdPr9djY2KDX62ltbWX37t1YWFgwZcoUTp06xZAhQwgPD+fNN98U+3zyySfY2dkRERGBl5cXvr6+Jq/kG8BkQH7EqK+v56233hLLFhYWzJ8/n6CgIHbt2kVhYSGdnZ3cu3ePiIgIoqKiSEtL4+TJk3R1dTF27FiCg4M5duwYe/fuJTw8nK6uLnG8qVOncvfuXcrKygDYvXs3jY2NLFu2jOPHj1NbW8vSpUtpaGiguPh/+88YPQW1Wk1PTw8VFRUATJ8+nUuXLpGYmEhLSwsqlYqYmBji4uIYN24cFhYWfPbZZ4r3KMsy4eHh2NnZcf78eQCefvppcnNzFcYmOTmZ3t5edu/eTXt7O+vWrRPe0a1bt7h37x5arZbu7m7s7OyYOHEid+7c4cqVK+IYzzzzDC4uLo/iq/m7gcnk/gjR2NjIsWPHePvttxXru7q6SEpKIj09nZiYGOrq6ti7dy/d3d2EhYUhSRKzZs0SRiIvL0+Ivtrb24mPj8fb25vo6GhxvLKyMiZOnIitrS0NDQ1YWloSEBBAeHg42dnZVFZWcv/+fSIjIxkyZAiSJPH444+zbNkyRo8erbghjx8/zoABA2hubiYhIQF/f39xrgMHDvDZZ5+h1WoV2ZOWlhaGDRtGTEwMYWFhODg4YGtrS3x8PIMGDeLf/u3fCAkJER5KRUUFkZGRNDQ0iHAsJSUFtVrNxo0bCQsLQ6fT4e3t3U9D8u6773Lw4EGRajbhr0My8Js/LkRFRcl/jy0N79+/z86dOwHD033kyJHiyQswbtw48vPzqaqqEk9/I8aOHUtZWRkVFRVCoAVgY2NDa2urWFapVISEhChSvGFhYYrlkSNH4uPjI4yPJEn87Gc/w8rKig8//JD6+nrWrVuHu7s7586d48aNG1/5noychRELFy6ku7ubY8eOsWbNGk6fPk1NTQ1TpkyhtbWV5ORk/Pz8KCgoYPPmzYDBQPylcxgxePBg4SmZm5sjyzLd3d0A/PznP+fWrVskJCSIz2fJkiUEBwf/1eP+FCFJ0i1ZlqP+2nYmD+RHgJaWFk6dOiWMBxjc+NGjR9Pb20tMTAxqtZqOjg62bNnCpk2biIyMVBwjMTGRnp4ehg4dKtYZa1GMRKKTkxOjRo3qlwZNT08nICBALKempirk6ubm5qjVaszNzXnyySfRarXs3r2brKwsbt68KfadNGkSS5YsURw7JiYGPz8/ABwdHTl06JDI4jg4OLBhwwaCgoI4f/488fHxdHd3k5O
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#2 Create mesh and define function space\n",
    "domain = mshr.Circle(Point(0.,0.),1.0,60)\n",
    "mesh = mshr.generate_mesh(domain, 25)\n",
    "V = FunctionSpace(mesh, 'Lagrange', 1) #Lagrange are triangular elements\n",
    "plot(mesh)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#3 Defining boundary conditions (Dirichlet)\n",
    "D = 1.4E-7 #cm^2/s\n",
    "u_D = Constant(0.1)\n",
    "\n",
    "def Dirichlet_boundary(x, on_boundary):\n",
    "    return on_boundary \n",
    "\n",
    "bc = DirichletBC(V, Constant(1), Dirichlet_boundary)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Defining initial values and variational problem\n",
    "u_n = interpolate(u_D,V)\n",
    "\n",
    "u = TrialFunction(V)\n",
    "v = TestFunction(V)\n",
    "f = Constant(0)\n",
    "\n",
    "F = u*v*dx+D*dt*dot(grad(u), grad(v))*dx-(u_n+dt*f)*v*dx\n",
    "a, L = lhs(F), rhs(F)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARUAAAD8CAYAAABZ0jAcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztvXusJNd93/k5VV1V3X37vmfI4fA5w9CWKGiXtIZyvA6yjqxX8ofkbPyQjSRSIMOr3XgDrJHAEgwkgQPv0l5gnQTJxhZsxXYSWHa0iFdBbMiyZSUwbJkPmDLFESRyZsghZzicy9v31XO7q6u7z/5xqqqr6/ajqutUP+7UFxjM7eqqU6e6q779e3x/vyOklBQoUKCALhjznkCBAgVOFwpSKVCggFYUpFKgQAGtKEilQIECWlGQSoECBbSiIJUCBQpohRZSEUJ8TghxWwjxjRHvCyHEvxRCvCKE+AshxHdF3vu4EOJl/9/HdcynQIEC84MuS+XXgA+Pef+vA4/5/34C+DcAQogt4J8A3w28F/gnQohNTXMqUKDAHKCFVKSU/w2oj9nlo8BvSIWvARtCiPuADwFfllLWpZR7wJcZT04FChRYcJRmdJ77gdcjr9/wt43afgJCiJ9AWTmsrKy85x3veEc+My2QCD3vxdzGNqx35zZ2gWR4/vnn35ZSnp3m2FmRSmZIKT8LfBbg0qVL8rnnnpvzjE4/mm9eGPPu+fCvg54b/l3viYG99ntO+PeG4Q68t2X0S0TWDSfyzu7Is1buuzZmTgV0QQjx2rTHzopUbgAPRl4/4G+7AXxfbPtXZzSnAhGMI5CDnku9J9jvOex2awDU/f8D7HerAOx1VtQxncrY862XmmyW7oSvN8zj8O8ts8G22QhJaMuQIekMm2dBNIuFWZHKF4GfFEJ8HhWUPZBSvimE+BLwf0SCsx8EPjOjOd3VGPZwxsmj3q2x360OEMW+V6HhlYeOeeg5NNoOTc9S53CtE/tUHE/9b3nU7EHLZc1yqVktNqwm0CeegHC2zAZASDgB2cSvpSCZ+UILqQghfhNlcZwRQryByuhYAFLKXwJ+F/gbwCvAMfD3/PfqQoh/BjzrD/WzUspxAd8CU2ISibzcPhcSSJQ8okTRdC08zwyPt6zuwGsAr2EjXAOjPTwH4AI9u4d0egAIqxe+V3I6WFaXiuNRsRT51GyXNatPPgHpRC2di/Ztts0GF0utgmQWAGIZWx8UMZVkGEYk1zrt0BK52r5ngERuHq/TaDvUG1U8z6TjlpCegXAVQRhtA6MNhivoOZKejb+9P36pITBdtc1snzg9Xf+Yng1dB3q+MRMdLyAdYfUoOZ2B40eRzgPVPdZLTS44Ozxm32LDcLlQsk+cvyCYZBBCPC+lvDTNsUsTqC2QDHEiOei5XO2UQ3fmmnt2wBK5eWcttEKaDQfpGZhHJYw22K7A8BggiYAourbw/1evg+32kaTUkpjtkz9WZktZJd2yQdcWdMr+GI6gawu6dkA2JmDSs6Dn9ImhZytLpxmzdEpOh29Y59iqHXN+5TwPVB8KCSaIzwyzYgqCyQcFqZwSRB+WgEiiLs1rza3Qndm5o4Ksh40yHbcEjRJG26DU7lsaVkMRhXPQCwnCbPXolo2QHEARRACz1cN0u/33HOUaRbcNex3sGyUbRTQA/WxS38pRpNP1E0Y9y8FzJDdqK7y1vcqV2jZnVxq8ZJ2nZrV4uKI86sCKKQgmXxSkssSIWyXXOm2ueNtcbT/Kq60zvHG8GcZEhrk0RtvAPlLWiHWkSCSwNOzD7tCHP7qtdNDCaHon9ulVlE9jOCcDtcNguN7AjdhzLHplMyQlGCQvYKil09o26TSq7G7b1K1aGKP5unM/FcsLrZhHym9z0b7No9Zu6CIFn2VBLtlRkMqSYZR783L7HNfcs7zW3OLm8To7d2qhJTLJpYkTidE6SSZjsXcw8NJoKhPCqJzMEgWEM7j/IDEZ9aP+C3+M4Lgo4diHfVcKwD4StFcFrYYVuk6u3XeX3qopK+byyjnOVw/YsJo8Un6bpypXC+tFIwpSWSJEb/hhVsnNO2vUG1WaDQcaJUoNY4BEApfGdPtxj8BlKR20Rp43+tBHScFoetAcclzLHfwfoOwTTbMVEoW6qNjxLffk67Jzop7EaHXplQNLRrlk9iE4hwb2kRGL0ygS6lkW+6tVdlfXuFI7w1qtxeWVc7xQfZCHK/XQPXrSlgOfd0Eu6VCQyhIgSiZ/3hZhrOSFowcHrBKvYWMelbCPBFZDWSJ2o08icUvEcBVZDHNh+icffOgHSKHZgpaLPG4iquPFbifIYsj2keNE9jH8+UbJLXpNzm2PcsSaicdp2jWBt2rRqZWo18rUazWu1zb5du0ezq+c511rZ3nZ2eGp8muFazQlClJZYMQtk2dbDw91cbyGjbVbotIQWEeKSIIAq33gYbS6IYEEOEEk4yyOYdvLTkgoMIYQhkDW9xHVSngsgKhWwm2TiAX6lbAniLHZUu9VyvQq1oC71C0bOAdRgjHxVk28ms0b2xXqm1UOPYfXqltcq5zlPdVrJ+IuBbFMRkEqC4hRZPLS4fnQxQmCrkbdxjkSOHVFJtWdbkgkwACZDBDJBBIJHvhhD7g8bkIKEoljHHmMG1MeN4lWFhnBNYwgv2HyO7MFZltZL6YrsBvKejFci6ZrcMUz2anVuLmyzmvNLZ5YfX0gqFtYLZNRkMoCYVjM5PnjC7zW3OLb+/fw1t5qqFgN4iVWQ8VKqjs97MMu1kE7HZEESEgowXZ53BywNNIiDSFFzxPObdI8/euJEsuJOIyfKncOBGbbwPBM2u0qu6s2h7WyIpfjdc5XD3i4Uh+wXApyGY2CVBYA48jk5vE61+ubHO9VMI9KVOriRObGOexRfquF4Xrj3ZpR7kwMSR74aa2UaRCcaxi5jEVALM0Whu8OGa6H4ViY7mB5gdm2MNsm1pHA3bLorJYGyaWwXBKjIJU5I7gpD3ouz7pnuNq+ZyAAW9+tQaOEs2uGLo7pKiKJZm5GZmIgMZnkDj8DNO18okQWJ5iJblrLVanuSjkk3miwt3TQwmyt0F4zsRsG7doIcvEtlydWX2fDPA4DukW8pY+CVOaEeEbn2ebjJ7I5nd0ypYaBsyso11W8BJRyNXBzBshkxMM6yZ3RBj94O/K9JPslRFpralgcyNgbnFul6WFtVLEP7QFy8VYt2lvDyWV/tcpTlas8acvCavFRkMocENx8QRD2hTsPcfngHNfrmwMak3JDUN5VLk71dr+wLlC1jrNOssQ7EiFKEsO2D9GonNhvHLFEj9FgacVdqAFSiuhqSs0Wpf3yALm468aAW1S3+6nom1vrvLp+hpdXrg9YLXD3kktBKjPESevknbxw9GAYhA0sk5KfGq7s9uMlQBhkHJYiHoepLJRRpJH38aMICLSSy0j45xhGLoHl0rNNvJqJu2rzrYbDznaNNzY2ubam0tDvryhF8N3qEhWkMgMMSxFHrZPjvQrWbomVXZXNCYKv9oGHfeuoX0vjevQca9DtGfGgZSKSWcVg0hLPrOfXbA2QS2XHpL1u4a4pxW5rS+C2bXa9NZquxaHncNCpUO/e3VZLQSo5Y5R18vWd+6nv1jDqNpW6cnOCtHA8+BpVsUZFXtoervjDndVKyRvx+ekmmUDcF8AnFypljFYVs6UsFzCwGqrWyD0qDbVannLeDmuK7hZiKUglR8QzO185fPyEdRIEYZ2D4YQSYu8gn4d90QkkCTQEfk8gTiygyAVlMZpuGbNtKRFd24+5HDnUGyUOG2Vubq7x2sYW9Y1v8aHqq3cVsRSkkhMGg7GP8MKdh3hm52He2lul92Y1tE4CV2doenhYcV0EiaTx41yG00AoAZJeSxryGRZs9i3HEiq25a3bqjDTNbAbglbDxG1UueGqRyvot3s3pZ519aj9MPAvABP4FSnl07H3fxH4a/7LKnCPlHLDf68LBIvIXJdSfkTHnOaFScHY3ptV7Lpg5c1+fc4JQom1EogiXi8zFuPSuKeJUNJgWqsmOCaotq4fYVTKGK5
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARUAAAD8CAYAAABZ0jAcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztvXuwJNld3/k5WY+svFX33d0zPbRmuC1PSAi0IeGW0JoILwYhyf5DwmvAglhbcohg2TW7EUvYgRRE2A687A44YmU77DUoQEbYDgTWhlk5DCELhJY/sECt0Jh5EOOeudeM7mh6uvs+696uyqzH2T9OnqzMrKyqrMpHPTq/ETduPTJPnqzK/Nbv8f39jpBSUqBAgQJpwZj3BAoUKLBaKEilQIECqaIglQIFCqSKglQKFCiQKgpSKVCgQKooSKVAgQKpIhVSEUJ8WghxTwjx/Ij3hRDinwohXhZC/IkQ4jt9731ECHHH/ftIGvMpUKDA/JCWpfKrwAfGvP+Xgafdvx8H/gWAEGIH+PvAdwHvBv6+EGI7pTkVKFBgDkiFVKSUfwAcj9nkQ8CvSYWvAFtCiOvA+4EvSimPpZQnwBcZT04FChRYcJRzOs63AN/wPT90Xxv1+hCEED+OsnKo1+t//q1vfWs2My0QC/3Oc5mNbVTentnYBeLha1/72gMp5dVZ9s2LVBJDSvkp4FMAt27dkrdv357zjFYfrdf3xrz7RODZSd/2Hp/2ReC9o57FbqkVeG3LCJaHbBumf4+RR7WuH4yZU4G0IIT4s1n3zYtUXgPe5Ht+w33tNeB7Qq9/Oac5FfBhHIGc9G2PKI56Fsf9hvfeUbcR2PastwbAcbc+9ng75UsANksPA6/vli/YMS7U41LLIx9NOlHzLIhmsZAXqXwe+EkhxGdRQdkzKeXrQogvAP+HLzj7PuATOc3pkUbUzanJ46hnAXDcb3DUbQSI4rSzxnm3FjnmeUe9fu6YXDpm5DYA9aqyajaqA+tmo9JW/8vq/1bl4RDxaMLRVs+WIdk2zKFzKUhmvkiFVIQQv46yOK4IIQ5RGZ0KgJTyF4HfBv4K8DLwEPhb7nvHQoh/CHzVHepnpZTjAr4FZsQkEvETiJ88zjs1zl2CuHRMWp0ybadCrdoJjNV2KgB07DJ9pwTOmBxAtY9R7XlPK2YXwBvTqnQDxDOJcHbLFzxduV+QzIJALGPrgyKmEg+jiOSVzlokiRy2tjwrQ5NHx1a/O5oohD2aLAxHuUiGLTA6ULKHt+m5Bky/4v431fXXr6r/0uwHSCeKcEBZO9rSuWGdekRz07znWTN75erQ8QuCiQchxNeklLdm2XdpArUF4iFMJNoaudO5OtISef1iI0AifaeEaJYxHIFAkUTFJQk/UfRCHk7JBsOBkhN+PfjD1TMV+fSqAIK++79nQs80AoTjuGTjoAjnDIZIZ7+641k3N+pnPGkds1O+nGjFFASTDQpSWRH4b5YwkRzYV4fcGW2NNJtWwAoxHIF5ITwC0SQRJoayPWzhhreJC00yXVMECKdfFWiyUTAClk7flHSB86rkzOxjNDo8WK9zWN/03KaNcpvbISvmzZWHBcFkiIJUlhhhq+Sg63DUs7jj3OTAvsqrrZ1YJFJx3ZXqeZBENHFEkUWp3Xf/upFz69WiL61ebeA+ldr9kdvo7fyE473vEY/fyjHoNMqcr5ucrTcwqj3W11ueBbNRtXm28iaetI7ZM+97Fox2kfRnWZBLchSksmSIcm90jGTfvsZ+66oXG3lwWR+4NBeVIRLxWyPVpiKRki2Hbvbw817N8AjFsLuIlop3iJaNtJQpUQKkVRmaf6kdfckZ9oCcKmeD1/tm2T1meUA0NYOeKTyi6ZmCygVUmtC5MOg0q/RNyfmRyZkvRrO+3uKlyjWuN57ghnXK7cpD9sz7PF29W1gvKaIglSWC/4I/6DoB9+bV1g6Hl5tcOiYnlxZ20wTHoNQsUQrFRMLWSMmWVE+HLQ6/FaJv+r5ZptQevCZaHURrEGgZ9RhAWialVjBrFIUAObU6SKuCYXcptcv0amVK7b4iNpdc/K5Ytylw1gX9qnKldIzGI5n1Lveq6+yv73Clfsmr9R2+Xn6Km9Z9bpr3CuslBRSksgSIIhO/VaIDrc2mRf+iQqlZomKrX28/iZjn/YAlEuW++C0GwLNCNMKkIFo2tHxqWcsKPg9s2xpsEzjB0PaWNUROmpAMq+IRm9960ecDA/dJWzM9U7iuksDZqNJtaIJpcLi+xXa9xYvVx7hRP+Md698oyCUhClJZYEwiE+3inB01EM0y5aZBxY2NKEIJujQDMlHE4ScQP3kELIwogvCRgjw5RdTM8dv7INs2tCNyzfrYNXMwho+gRKvlkY2wTM+1KrWHibBypiwqTTq9moG9ocincqEIprMu6B1X6TYq3F23MBodLndMzjs19q2r7I+wXApimYyCVBYQo8jk2eabAi6OjpWUmiXKF8Ijk3EWyUQicW9i6d74AcIgmhTkGJLwxq+NVthGjRUgFw0fwQjLiiyx97tNbFnoS1wfXVsvJUeoDNO5wNko022UuOuUOFm3eL2+wWFjK5JcCqtlMgpSWSCMs0xePHuMB5d1L3ujdSRmiEyqZ0q/EWWVjLRGYIhMNEaRS/8yWLMDYNTXRp6bbNuxiSVqHkOImlfIbSoBhlXxYjFAIBajA72VC0F7V9CxqzjrZe6umwW5JEBBKguAODGTe8frnlUS1pGsPVBkEo6RaKskHEyNclEm3cTh98cRSNwxZoUmNKO+NmzZaNes1UInoXUsBvAIplczqDJIcZdsA2dd0O4Y9JsFuSRBQSpzhr4oT/o2X7WvDZGJzuSUjioBq0THSzSZVM7a3phx3Jplhp/Q+pcPPXIJu0zy5BTRUpaMcMlGWCaGVfHiLqACvtVTaD1WoeQYdBrgxCSXd5n3vFR0QSwKBanMCWHr5Cutm3z94qkhMhHNMpWmQe0omkyitCLqAL6bawWIZBT8BBN1nt5r2qJpmcqCcWMy0jI9TU2p3aW6VcXZLGFfxCOXo0aDp6t3uWX2CqvFRUEqc0DYOrl9ucerrR1eOrk2RCaVC6gdqXiJhp9QSqcD8lhFqyRtBCyacAym1aFmd6meliPJpetUcJohcmlt8R0bVznuHxQukYuCVHKE3zq5bZe44yjrRAdhdWpYk0mlqZSua/eCKdOghRIv4FpggCFXySUXaZmIVmcMuSjNS6dZpWtWuLuryOXcMTntrLFv3eeWtc8tUwXLH1WXqCCVHBAu9tPWyfPnT3hBWHlkDpGJed4fUrr6sznG8YXvIIvj7ozL8sx7bhqBbFTIatHkYgC1NwbkovUuWrHrXFRxdsoc2GUeXNY53N7ieKPOHec+77EOHlmrpSCVjBG2Tm63vsNLER+ebHlB2NqRGCITbY1EQbQ6M2VxskSclHGcbfI6h0hNTMhqATxyUUreKmW7hL1hKKWybWA7Nc4uKrzoVHj9YoO3bO9w1lvjlrUfqCl6VIilIJUMERU7ibJOdBBWi9b8hDIUgPUGb+VKINNoTNI6Vvj8IoV4KSAqLR22WmBALqV2jZJdxt4wKDmCkq0EdI5d5+66qgbXytz3br3wyGWIClLJCJpQlO5kQCj7JzucHTWGrBN/YV/lrB1NJhm6OHFv5DwhauZI8V34tTQ+D+9Y+oUIcpFWhcpZm1JbWS3OpirYNBxByVYV0mfOBi86Fc631fyOGo2AO7TqxJJWj9oPAP8EJWL8ZSnlM6H3Pwn8JffpGnBNSrnlvtcD9CIyr0opP5jGnOaF4VTxnheMPTzZwj6yqDwoj0wRV87awVgJRAZftT4jDfhvznmSSBTizicNK8aveQEfuYQeQ9BqcbbKlG2B7RhKkNhRVsthaJ+jRyT1nJhUhBAl4J8D349aDOyrQojPSylf1NtIKf833/b/C/BO3xAtKeU7ks5jETAcP/l2r14nTCi1o2CxX/XUCQZfJ1glaRDKohFImvBbOXFh1NcmqnX98RZttYAiFtXMSmA4AAYOdQ7sMpeOyXm3xtn6GrD6cZY0LJV
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARUAAAD8CAYAAABZ0jAcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztvWuwJOl51/l7Kqsyz7W7T585Go1HM5oZphdZGyIkuxlr1xGskW0s+KARIJsxAUiEHFrvYojAASEpHAGEWLNjE7ECgoutkIVlICwZEbBDYIdWtqTlg5Gs0SJ0DatH3WOPeudypvuc7nOtrMvLh8w3682szKysymtV5z/ixKnKysubWZn/ep7/c3lFKUWLFi1aFIVO3QNo0aLFaqEllRYtWhSKllRatGhRKFpSadGiRaFoSaVFixaFoiWVFi1aFIpCSEVEPiYir4jI1xM+FxH5JyLynIh8VUS+z/js3SJyzf97dxHjadGiRX0oylL5VeDtKZ//aeCK//c+4F8AiMhl4O8CPwA8AfxdEdkpaEwtWrSoAYWQilLqPwO3U1Z5Evg15eELwCUReQD4MeAzSqnbSqkD4DOkk1OLFi0ajm5Fx3kQeMF4/11/WdLyKYjI+/CsHDY3N7//DW94QzkjbZEJ48HXStt3p/em0vbdIhu+/OUvv6qU2ltk26pIJTeUUh8BPgJw9epV9eyzz9Y8otXH2YuPpnz6PVNLDsb9qWW3xhNjeLcznvp8p+PE7PtW4lHXH7iRMqYWRUFE/mDRbasilZvAQ8b71/nLbgI/FFn++YrG1MJAOoF4hKEJ4vZoI/TZrdFm6P3t0dbM4122jqeW7Von/men3nufhEziiRtnSzTNQlWk8gzwMyLyCTxR9o5S6kUR+TTwDwxx9k8BH6xoTPc04h5ObWlEyePWaDMgikN/2cFgc2p7gINhmHDuDNZD7y/2zoLXO93Tqe13eh6xXPKJRZNPGuFEz6UlmXpRCKmIyK/jWRz3ich38SI6PQCl1C8Bvwn8GeA54BT4q/5nt0Xk7wNf8nf1IaVUmuDbYkEkWSLaArk92uDW6FIieRwMNwKCuOuuxe7ryJ1YFCeunTqeTdsNvd+2PUK7YJ8HyzQBafIxCcckm8vWKbudcWDRtCRTL2QZWx+0mko2JFkjExLxCOP2aIvD0QYHg81Y8jhynYAkTmPIwnXDv03DvgXA2LWm1u3Yo+B11xmFPrPtIQAbPuFo4okSThzZaKKJIxkTLcFkg4h8WSl1dZFtl0aobZENUSIxSQQIrJEkEtEEosnDdbtTJCH95EyEzkAQoNMXpikF9C03dhSaUsY974fNdTyX5pgNOvaIV5kQTxrhXLDPudg7Y6d7OkUwQIhkzOvTEkw5aEllRRAlk+eGg5BLY5IIeFpHlES0xTHsW4xdKyCPzkBCJNHpy9TxLXdqUTqOwvsY2QAWY8cjmLHjHW3gE84AUM54inBMstm03Zkkc9k65fFub+qatQRTHFpSWWIkWSXX3L1YayTNEtEkoi2NXl8C8ogjjE5/styajiQHGDmTdUZx0WMfveCV+AQjjP31R77HNXa0hdRl7CgGPRWQzantcOiTzCyCuWYdc8Xej9VhWnLJj5ZUlgxp7s2t0SWuu69JJZIoiYBniWgS0UTRMYjCJBWTQKy+Z0V0U0glimEKscRh5EhARiPbI7mxA6O+fq0YDwSwGPQUbgzBAAHJPLR5wE73lOvua7hknXLFfrl1jwpGSypLBPOGPxj3uTbYCrk318/2QkSyf7yViUQ0gcRZHpo4IJ48rPMx3X52sd9ypl2nJIzWOsG+h45HMAAj17NsRjaMXQlcKe1CDS9YgRVz7Izp2KOAZF463ua1W0eBBXOju8eja/uBe3Sld9xaLznRksoSIIlMTKvkhZOdkEVyeuSEXJokEtEEkkQe1vnYXxZPHNb5KHY5gHU2/ZkNjNbjJVwTozWLbn+yvSaj0VonsHZGjsDRxK3SLtToqONZM7bnMo2diBVzvIFtD9nbOmbb7vP82S6PrN9ip3fCNdezXlpyWRwtqTQYcWRyzX1doJU8f7Yba5Woo14skUQtEdN90eThvfeWRwkjjiQ6/eHc55W2zdjpBscyycfy01dGfQsHGDrCaG0ShYq6VdptGtnC2JF4gjly2Njus2G73LQv8uDWHR5Zv8XhaINbo1diLZeWWGajJZUGIo1MTBfnpePtQCdxj2yk36F73JnSRrRFEtVAolaIJhFNHkkPv5zPG+qJ2ceZtw+1Hs57sfx9qzU79viWJp11C+54Fg0QEA1M3CbtMo1c6Piu0qgvgQ4z7nU4Oepxuj3g0Blx4trc3Vrjgn3OwfomO72TKXJprZbZaEmlQUhzczSZ3Dy+GOvi9AwyiVolVl+FiCQLiaQRhyYEzs7jV1iPz7hN3VfC8iTS6fS95ZpkRusW1nnYbbJ8ayZKLhyZ1otiPLAZ9BSv9i1OXZsN223JJQdaUmkAZmkmz5/tBmRyeLwRCK/WsRW4OL2jeI1EuzaziCSORJIe+EQyyfp5VqyvpZKOWrexzt3AqtGuk4Z17rlLluEqxVkvHAmDbY9cjl2LU9tpySUHWlKpGfqmTCIT7eYcHm8ELk5nIDh3OyGrJM4iAc+1sc5HmayR2Ac4I0Go07PZK2WAbBgFiDMsIT1eTTAdpl02y+mGXCXTeoGJ9tLpe9bLoC+MHWshcmmJxUNLKjXBtE6eGw645t4fSybazVFHvVgXxySTqEViEkleS6Qo0pgF8zghgjERMz5hQi7BvnwLRhNNlGCGMRbMIuRyxd7n8W6vtVp8tKRSA6LWyTX3ddw434slk8DN8S0T8AjFPgqTCcRbJSaZzGuJVEUkWY+fSDIQnIecnSdqOtqSCSJMvnvkCbyeuOtl/s5HLrdHW9w2wtD3Orm0pFIhkqyT62d7QZ7J/vFWmEz6Qu9IYsVX5068VqLJZB4SWZRAxifTPVE6mxux68Utnwd6jCa5xBKPJhhz23U7INgouYAn7i5KLgfDDQ7XN0JWC9y7IeiWVCpAUohYWyc3jy8GeSbukR0ik96Rt50pwJquTpJlMkUoBpnktUDiiCTL53p5VnIx92Nukzb+EPHoczYE3yi5gJkTEyYXUKxnIJcj1+HOYL21Wny0pFIyZlknURG2d9wJLBM7IJTpkLAmk2j0Rs7cwq0RjVlkMu9+TKLISlRZCSmkzcCUuKtfy7qNWvPD0xFymUSNPHJxL3jkMtj2/g+3Ohy7Fq7bDXJcWqulJZVSkaadaOtEi7DWQOj6uknvKJsAa93xHrS0vJGidJGiCCXvPqPbZCEZdXoWcoUC+BZMZnK5qxg5nlDuEYvF8IIw6K8FOS6zrJZ7gVhaUikJ04RyP//f8eunrBPr2MKK5JrYd5PJxLRMqiATKIdQikJWCyY2qmRcNx09ykIuQwesvuBug+V2QjkuSVbLW9devmeIpagetW8H/jFgAR9VSj0d+fzDwJ/0324Ar1FKXfI/GwF6Epk/VEq9o4gx1YUs7s6rt7ZTrZOoABtLJiULrnlF1aoxj3ukTs+mI0kRcddMqrOcbkAuMMYUc02XCAhZLVHcK6Hn3KQiIhbwz4AfxZsM7Esi8oxS6pt6HaXU3zTW/+vAW4xdnCml3px3HE3ANKHscd19Df/17sNT7o6u0YlaJ84d37Wp0DKJs0SabJ2kYda4NekkXS/PYjkPXCOdVKcRDUNrl8jfe5D2fwpcZ3fKHWL9xsrrLEVYKk8AzymlrgP403A8CXwzYf2fxOu2v1LIop8c39oI5ZzEWSepZAJThNIU8XVZMMuiCaJH/vsJXUThWS3WOfQvdrD9NXXR4pCJOxTFqussRZBK3NSlPxC3ooi8HngU+KyxeE1EngWGwNNKqf9QwJgqRZx+cuN8j6/eeXBKP+ne7dA7CievOXdGsan0aYQyi0zSyKKzuXHPkUkUWchFh6VNYhk73YlQ7hcwcmccEIuuKbLcDn3AxeYml+4pnaVqofYp4FNKKbMxx+uVUjdF5DHgsyLyNaXUd6IbmnMpP/zww9WMNgM0ocwKF/d
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARUAAAD8CAYAAABZ0jAcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztvX2MJPl53/d5urqr5nV3Z/f2jqfjHe823JhiQIOUNiclAhxbr7T/IOWYkk9CbNKgwCixEiCCDZIQYBt0lJwUILQNO5YIihZlGyJlBlbOsASGEsn4D5kS72KKL0eIe9yjfNzw7uZ2Z3dndmaquqt/+aPqV/2r6qru6q7X7qkvMJjp6uqqX/VUf/t5vs+bKKXo0KFDh7LQa3oBHTp0WC90pNKhQ4dS0ZFKhw4dSkVHKh06dCgVHal06NChVHSk0qFDh1JRCqmIyMdE5FUR+WrG8yIi/0hEXhCRL4vI9xjPvVtEroc/7y5jPR06dGgOZVkqvw68fcbzfxG4Gv68D/inACJyEfi7wPcBTwJ/V0T2SlpThw4dGkAppKKU+nfA7Rm7vBP4DRXgC8AFEXkY+DHgM0qp20qpA+AzzCanDh06tBz9ms7zCPCS8fjb4bas7VMQkfcRWDlsb29/75ve9KZqVtohF8bDr1R27N7gLZUdu0M+PPfcc68ppS4v89q6SKUwlFIfAT4CcO3aNfXss882vKL1x8l3npjx7HdNbTkYu6l73hoHBvGl3njqub2ek/aKzLNuPvzijDV1KAsi8qfLvrYuUrkJPGo8fn247Sbw5xPbP1/TmjoYmE0gE8K4Ne5x29+aev6Wvx17fNvfyTzWRetoatsl677x/HGwLSQhk3jS1tkRTbtQF6k8A/yciHyCQJS9q5T6joh8GvhfDHH2R4EP1rSmM420D6dJHEBEHpowNFHcMUjlYBgnE4CD0TTpJLHXP57eNpgQy4WQWDQBadJJI5zktXQk0yxKIRUR+U0Ci+MBEfk2QURnAKCU+hXgd4C/BLwAHAN/I3zutoj8feCL4aE+pJSaJfh2WBJZlsjB2I2sj1v+BSAgD00cmjQ0UdwdbgJwz9tIPd6hN7Eq7nv21PPbthd7vGvHXaZz9ikA5wcnwIR8NOGkkc1F65hLvXFk0XQk0yxkFVsfdJpKPmRZI6YLc8vfjkjkYLidSh6aKDRJHKeQBYDnTb6jRq6Vua6+48ce2/Yo+nsrJB1NPibppBGOSTYXraNUkjHREUw+iMhzSqlry7x2ZYTaDvmQJBJNIkBkjZgkAoEVcne4OUUgmjw8rx+RxNhLJwtxJ9kJvaEgM9boA+PB5MtsCCgncGeO7eD8rzEhH006WYRzzj7l/OAkIpkkwQARyZjvT0cw1aAjlTVBGplcH+7ESASIrJEsEkkSiCaL3jCgiYE7oYueO00dVujd+OnGTCbGjialPmMnIJxhSDxeSDhHbNGz/YhwTLLZtj12bTdGMEAqybyxP5h6zzqCKQ8dqawwsqyS2/4W173Xx1waTSIQ6B6zSKQ3FHquoG0SkzwsQxLpufHHJgYZa84km8PJOcbO5O9gfysimrETrGo4UJGFc2w7EdFc2DmOWTJpVsx164ir9n6qDtORS3F0pLJimEUk2ip58fTylDVikggEmkcaifRcmSIOjSSBWK7+PXFl+i6M0lJPDPjOLOcIODT3DX/bwWvGjkTENHYU46EAFuOBYng44NVDm57tR5ZMlhVzw3uQK/arUxpMZ70UR0cqKwTzhtdkct17KKaRfOvkUiqRJElECFwZTSJZ5JFGHBp9/dxpPKnNOjX3CV43Mq2PjfzVIZqgNBH5XmAF+TaMPYFDiVk/Y6fH2LEYDhReaMXcySCYG4PLXNncj7lHVwdHnfVSEB2prACSZGJqJUmr5OWj3UwiSSMRTSBZVgdMk8bk+fTIoXXqp2wzHtzNvlZ/I3BvNAnp12kiMknGD9euSQaAQ4msmSTBHLGFvevFCOal+3s8un0QuUe3/Fc7cimIjlRajCwyueE9GGklL93fi6ySO0dbuYkkSSJpBKJJI40kNKyT7OfS0HNHU9vGzuQ2tE58/E0rTkKAH+o+lrZYEiQDhlt1GLhNvp0kGMXQ3ZiyYF4+2uV1O4ecs0852NyeSS4dscxHRyotxDwyMV2c/aOdyCpRh4MpIoGJoGoSSZJEkgSSRRZJUpDTia+kNuzU57K2R8fMOEeSbABswN+0IpJxmFg1JtFY7sSa6YWuku9qXWbaRTr2bLZsj3s7GzPJpbNa5qMjlRYhD5ncPDo/pZVoMrFcYRBGUczIjOXmJ5I0S8KEJgQ5mQ77pG3T29WmPXe/JKzT6f3Uhk3PHTFgQjrWpoW/YdF3fUaOxFymkTMhF1OL8V2JhN7xoMeRZ+Ht9jtyKQEdqbQAeS0TrZccHzpxF+deL3JvkkQCgWtjnY4zrZFZ1ke0bRYRnJxmP6dfP2N/OTmFzfS0/1mwTr2IZCynH7lNWpfpuz6WIzELxrRekvrL0O3hOeOIXC7vHHHP68hlUXSk0jD0TWlGc5KaSZJMrCNrSivR7k2SSIK/1UwiyUUiOYhj9oXOeX3a8ylEk1yXtoJ6BNc0dvox183atOBuQDSaYJJiryaYnmvFycXrY9uj3OTSEUuAjlQagmmdvDAactvf4br3UBTN0QLs/tHOTDKxD/NZJPOskVRLJCeRqOOT3NedB7K1mX3+DKLR5GIldByTaEyCGaVYMJYXiLvzyOXR7QMOhts8sbHPLX+bq/Y+b+wPOqslREcqDcC0TkxX58bJ5RiZeF4f79Cea5mkWSUmkeR2Z+aQSNnkkec8EcFozFhjlhuVlhVjnQYRpUDk7dF3VW5yOfQcdm2Xg9EWVzb3ue3vcNt+pXOJQnSkUiOS1olOXHvx9HIkwppkIm6PwVFvLpmYlonp3phkkpdE6iKOvEiuZ4pkkgivKS1nV5OLtl4CTATeZcjl7nCTxzdvccff4pb/amS1wNkNQXekUgPShNjr3utjrs7LR7tRnok6HERkMjhMT1Dru+Dc9VO1kswITYJEqiSQ8f1jetvzmzUtCr1m2drMZ9FsbkSukUmyWoPRAm+SXEBFYelZ5HLfs2ORos5q6UilcqRZJ9rVuTvcjKyT40NnkmcSRnMGh9m5JbPcnKbIZHz/eOZjjTLIJnkNmQQzw3KBbHKZRI3i5DLcDchldE4Yuhu85lqxSNHBaIs7m2fbaulIpUIktRNtnZgh4jtHW5FuYoW6ibZO5rk5JpnEiKQmtyaLNIq+Lo10zNfMI6VUl8mwXGBCvMnokUkuMA5D1AG5gGC54O2C5fUY7irGQzvIcUm4RFlWy1kglo5UKsI0oTw0pZ1o68QaCv2EdTKPTFKtkhrIZFkiWfYcRQkGgvcgNaJkEIxJLkAULdJJdWY42iYMRbvCcDewgYbuBqPdITcNl+hgtAVh/++zRCxl9ah9O/APCej9o0qppxPPfxj4C+HDLeBBpdSF8Dkf0ENk/qNS6h1lrKkpzHJ3TO0kyzqx7y1IJjOiIWURSh1Esuy58xJMqnuUTMIjJJhNeyqpLmm5aDEX4laLt+NzJ3HupDu07jpLYVIREQv4J8CPEAwD+6KIPKOUel7vo5T6n4z9/wfgbcYhTpRSby26jjZgmlAupxLK8LWNTOvEuduMZdIkcZSFtGtIIxpT7I3B0F/S3CJtucAYLeZqqwUmtUWm1mI2Ag+w/jpLGZbKk8ALSqkbAOEYjncCz2fs/1ME3fbXCiah/JE7iOknSXenf9RjcChRiNi0Tpy7gU4yV4AtSXxdBzJZFpnh6hRxN57rMm21gMAucC+ohh4x4BjYB57ndWdKZymDVNJGl35f2o4i8gbgCeCzxuYNEXkWGAFPK6V+u4Q11Yq8+onctqciO849FYvmwDShzIrmFHFxzgKh6GvMq71AnFyyiEXXGPVdH85bcC8QcnVFdM+1GA0lEnFNneXO5hbw4toSS91C7VPAp5RSZl39G5RSN0XkCvBZEfmKUuqbyReas5Qfe+yxelabA2mE8v8evSFVP+nf6zE4nKTWm9pJMnE
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Resolution on time steps\n",
    "u = Function(V)\n",
    "t = 0\n",
    "\n",
    "vtkfile = File('sol/solution.pvd')\n",
    "for n in range(num_steps):\n",
    "    #update current time\n",
    "    t += dt\n",
    "    u_D.t = t\n",
    "    #compute solution\n",
    "    solve(a==L, u, bc)\n",
    "    #vtkfile << (u,t)\n",
    "    plot(u)\n",
    "    plt.show()\n",
    "    #update previous solution\n",
    "    u_n.assign(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}