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JuliaFEM.jl/notebooks/2015-06-16-iterative-solvers.ipynb
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2015-06-17 12:31:37 +03:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Iterative solvers, numerical study of convergence\n",
"\n",
"Author(s): Jukka.Aho <jukka.aho@kapsi.fi>\n",
"\n",
"##Abstract\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO: Loading help data...\n"
]
}
],
"source": [
"using PyPlot"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"endpoint of true solution: 0.5000000000000506\n",
"Reference norm: 3.182045987352757\n"
]
}
],
"source": [
"N = 200\n",
"A = N*full(Tridiagonal(-ones(N-1), 2*ones(N), -1*ones(N-1)))\n",
"A[end,end] -= N\n",
"b = -1/N*ones(N)\n",
"b[end] += 1 + 1/(2*N)\n",
"x_true = A\\b\n",
"println(\"endpoint of true solution: \", x_true[end])\n",
"rnorm = norm(A\\b, 2)\n",
"println(\"Reference norm: \", rnorm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Jacobi method"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"function solve_Jacobi(A, b, max_iterations=3000)\n",
" N = length(b)\n",
" R = A-diagm(diag(A))\n",
" invD = diagm(1./diag(A))\n",
" x = zeros(N)\n",
" norms = []\n",
" for i=1:max_iterations\n",
" x = invD*(b-R*x)\n",
" norms = [norms; norm(x)]\n",
" end\n",
" return x, norms\n",
"end\n",
"x_jacobi, norms_jacobi = solve_Jacobi(A, b);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Richardson method\n",
"\n",
"- is equivalent with deepest descent method for min 1/2*x'*A*x - b'x"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"function solve_Richardson(A, b, max_iterations=3000)\n",
" N = length(b)\n",
" x = zeros(N)\n",
" norms = []\n",
" la = sort(eigvals(A), rev=true)\n",
" wopt = 2/(maximum(la)+minimum(la))\n",
" # modification, remove wave of smallest and largest eigenvalue because they are anyway calculated.\n",
" # this increases convergence a bit\n",
" for i = 1:1\n",
" x = x - 1/la[i]*(A*x - b)\n",
" x = x - 1/la[end-i]*(A*x - b)\n",
" end\n",
" for i=1:max_iterations\n",
" x = x - wopt*(A*x - b)\n",
" norms = [norms; norm(x)]\n",
" end\n",
" return x, norms\n",
"end\n",
"\n",
"x_richardson, norms_richardson = solve_Richardson(A, b);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conjugate gradient\n",
"## Successive over-relaxation\n",
"## GMRES\n",
"## MINRES"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"
],
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x1160f6350>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(norms_jacobi, label=\"Jacobi\")\n",
"plot(norms_richardson, label=\"Richardson\")\n",
"plot([0, length(norms_jacobi)], [rnorm, rnorm], label=\"True\")\n",
"#ylim(0, 5)\n",
"legend()\n",
"title(\"Convergence\")\n",
"xlabel(\"iterations N\")\n",
"ylabel(\"L2 norm\")\n",
"grid()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
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"
],
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x117a76e90>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(x_jacobi, label=\"Jacobi\")\n",
"plot(x_richardson, label=\"Richardon\")\n",
"plot(A\\b, label=\"True\")\n",
"legend(loc=\"best\")\n",
"title(\"Solution x\")\n",
"grid()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.3.8",
"language": "julia",
"name": "julia-0.3"
},
"language_info": {
"name": "julia",
"version": "0.3.8"
}
},
"nbformat": 4,
"nbformat_minor": 0
}