fem_square_Laplace.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0081f019-d391-4a82-8311-c514162b5008",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy\n",
    "import skfem    \n",
    "#https://scikit-fem.readthedocs.io/en/latest/index.html\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "#import importlib  # for reloading routines\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "173bbf11-99cd-488f-9833-446d47a4e120",
   "metadata": {},
   "outputs": [],
   "source": [
    "# routines that we will need here\n",
    "from skfem.models.poisson import laplace, mass\n",
    "#from scipy.sparse.linalg import splu"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87856644-eccb-4448-aadb-f18f9f2bd713",
   "metadata": {},
   "source": [
    "Solving the Laplaces equation in 2 d on a square with skfem\n",
    "With both nonzero Neumann and Dirichlet boundary condtiions \n",
    "$$\\Delta u =0$$\n",
    "on the unit square with $u(x,y)$ with $x,y \\in [0,1]$.\n",
    "The square has top, bottom, and left, right boundaries. \n",
    "\n",
    "We are trying to set the top and bottom boundaries to $u=1$ and the left and right boundaries $\\frac{\\partial u}{\\partial n} = 1$\n",
    "\n",
    "The weak form \n",
    "\\begin{align}\n",
    " 0 = \\int_\\Omega (\\partial_{xx} u) v dV \n",
    " = - \\int_\\Omega  (\\partial_x u) (\\partial_x v ) dV  + \\int_{\\partial \\Omega} (\\partial_x  u) v  ds\n",
    " \\end{align}\n",
    "with $v \\in H^1$ where $H^1$ is a Sobolev space. \n",
    "I kept the boundary term!\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "fad55fef-fedf-4dfa-bbc9-7a1543ba3e35",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "from skfem.helpers import dot, grad\n",
    "m = skfem.MeshTri().refined(5)\n",
    "e = skfem.ElementTriP1()\n",
    "basis = skfem.Basis(m, e)\n",
    "fbasis = skfem.FacetBasis(m,e)\n",
    "\n",
    "@skfem.BilinearForm\n",
    "def laplace(u, v, _):\n",
    "    return skfem.helpers.dot(grad(u), grad(v))\n",
    "\n",
    "@skfem.LinearForm\n",
    "def rhs(v,_):\n",
    "    return 1.0 * v\n",
    "\n",
    "Dlr = basis.get_dofs({'left', 'right'})  # we don't use this for the Neumann boundary conditions (but why not?)\n",
    "Dtb = basis.get_dofs({'top', 'bottom'})  # needed for Dirichlet boundary conditions \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f98a6144-3395-48a8-b981-e5a0947202cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  4,   8,  24,  25,  50,  51,  68,  69, 130, 131, 148, 149, 232,\n",
       "       233, 236, 237, 434, 435, 452, 453, 536, 537, 540, 541, 672, 673,\n",
       "       676, 677, 768, 769, 772, 773])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m.boundaries['right']  # this is actually an array of locations "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "219d1105-fb90-4795-9ca7-9e678ca06f0e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  1,   5,  14,  15,  36,  37,  54,  55, 116, 117, 134, 135, 176,\n",
       "       177, 180, 181, 420, 421, 438, 439, 480, 481, 484, 485, 596, 597,\n",
       "       600, 601, 692, 693, 696, 697])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m.boundaries['left']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "23e9597f-1100-41b5-be50-59fe423b613f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0,   1,   2,   3,   5,   7,  10,  13,  14,  17,  26,  29,  30,\n",
       "        33,  39,  40,  49,  50,  82,  85,  86,  89,  95,  96, 105, 106,\n",
       "       117, 118, 131, 132, 135, 136, 149, 150, 290, 293, 294, 297, 303,\n",
       "       304, 313, 314, 325, 326, 339, 340, 343, 344, 357, 358, 405, 406,\n",
       "       419, 420, 423, 424, 437, 438, 465, 466, 469, 470, 521, 522, 525,\n",
       "       526])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Dlr.flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1fd2c03d-36bc-4d86-adf5-f38254d60042",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<skfem DofsView(MeshTri1, ElementTriP1) object>\n",
       "  Number of nodal DOFs: 66 ['u']"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Dlr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "d94101ae-fcc0-4e14-a33b-16482d3ef388",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rbasis = skfem.FacetBasis(m, e, facets=m.boundaries['right'])   # joy! gives me facet basis for\n",
    "# right boundary only?\n",
    "lbasis = skfem.FacetBasis(m, e, facets=m.boundaries['left'])   # gives me facet basis for\n",
    "# left boundary only\n",
    "\n",
    "B = skfem.asm(rhs,rbasis) + skfem.asm(rhs,lbasis)    # operator on boundary using rhs linear op\n",
    "A = skfem.asm(laplace,basis)  # laplacian op\n",
    "\n",
    "u = basis.zeros()\n",
    "u[Dtb] = 1.0  # we start with u satisfying our desired Dirichlet BC  on top/bottom boundaries \n",
    "\n",
    "x = skfem.solve(*skfem.condense(A, B, x=u, D=Dtb))  # solve!\n",
    "from skfem.visuals.matplotlib import plot\n",
    "skfem.visuals.matplotlib.plot(basis, x, colorbar=True)\n",
    "# this looks ok "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 249,
   "id": "d8585ac1-e3ca-400b-a88f-7d5914feb4c7",
   "metadata": {},
   "outputs": [
    {
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      ],
      "text/plain": [
       "<skfem MeshTri1 object>\n",
       "  Number of elements: 2048\n",
       "  Number of vertices: 1089\n",
       "  Number of nodes: 1089\n",
       "  Named boundaries [# facets]: left [32], bottom [32], right [32], top [32]"
      ]
     },
     "execution_count": 249,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m  # our mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "c4e2699d-7a01-4531-ac1b-a733694c372b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "id": "ac957e4d-a3eb-4d98-9357-92d61a5a0c2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# below is incorrect but illustrates a bad way to try to solve the problem. \n",
    "#from skfem.helpers import dot, grad\n",
    "m = skfem.MeshTri().refined(5)\n",
    "e = skfem.ElementTriP1()\n",
    "basis = skfem.Basis(m, e)\n",
    "fbasis = skfem.FacetBasis(m,e)\n",
    "\n",
    "@skfem.BilinearForm\n",
    "def laplace(u, v, _):\n",
    "    return skfem.helpers.dot(grad(u), grad(v))\n",
    "\n",
    "@skfem.LinearForm\n",
    "def rhs(v,_):\n",
    "    return 1.0 * v\n",
    "\n",
    "Dlr = basis.get_dofs({'left', 'right'})  \n",
    "Dtb = basis.get_dofs({'top', 'bottom'})\n",
    "\n",
    "fbasis = skfem.FacetBasis(m, e, facets=Dlr.flatten())   # this is wrong!\n",
    "B = skfem.asm(rhs,fbasis)  \n",
    "A = skfem.asm(laplace,basis)  # \n",
    "\n",
    "u = basis.zeros()\n",
    "u[Dtb] = 1.0  # we start with u satisfying our desired Dirichlet BC \n",
    "\n",
    "x = skfem.solve(*skfem.condense(A, B, x=u, D=Dtb))\n",
    "skfem.visuals.matplotlib.plot(basis, x)\n",
    "# this is incorrect!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "58069499-4381-4cf3-a532-0c5abc477a1e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}