{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Partial Differential Equations (PDEs)\n", "### Iterative methods for PDEs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To solve an elliptic PDE we have seen a direct method which requires the inversion of a matrix to obtain the value of the dependent variable of interest. While such a method is working properly, it might be challenging to solve big problems as the matrix might requires a large amount of memory for its storage and inverting it might be CPU intensive. In opposition to a direct method, an iterative method to solve the system of equations might be an appealing alternative.\n", "\n", "In this notebook we will pose a generic system of equations to derive the iterative methods and we will apply these techniques to the steady-state distribution of the temperature in 1D bar. The generic system of equations is defined as:\n", "\n", "$$ a_{11} u_1 + a_{12} u_2 + a_{13} u_3 = b_1$$\n", "$$ a_{21} u_1 + a_{22} u_2 + a_{23} u_3 = b_2$$\n", "$$ a_{31} u_1 + a_{32} u_2 + a_{33} u_3 = b_3$$\n", "\n", "In an iterative method we need to keep track of the number of iterations. To do so we will use a new subscript $m$ and our dependent variable $u$ will be written as:\n", "\n", "$$ u_i^m$$\n", "\n", "where $m$ indicates the iteration number and $i$ indicates the point where the dependent variable is evaluated." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Jacobi's method**\n", "\n", "The first method we will look at is called the Jacobi's method is formulated as:\n", "\n", "$$ u_1^{m+1} = u_1^{m} + \\frac{1}{a_{11}} \\left(b_1 - \\left( a_{11} u_1^m + a_{12} u_2^m + a_{13} u_3^m\\right) \\right)$$\n", "$$ u_2^{m+1} = u_2^{m} + \\frac{1}{a_{22}} \\left(b_2 - \\left( a_{21} u_1^m + a_{22} u_2^m + a_{23} u_3^m\\right) \\right)$$\n", "$$ u_3^{m+1} = u_3^{m} + \\frac{1}{a_{33}} \\left(b_3 - \\left( a_{31} u_1^m + a_{32} u_2^m + a_{33} u_3^m\\right) \\right)$$\n", "\n", "The dependent variable $u_i^{m+1}$ at iteration $m+1$ is computed based on the value at the previous iteration $m$ and an increment. In a compact form, this method can be written as:\n", "\n", "$$ u_i^{m+1} = u_i^m + \\delta u_i$$\n", "$$ \\delta u_i = \\frac{1}{a_{ii}} \\left[ b_i -\\sum_{j=1}^n a_{i,j} u_{j}^m\\right]$$\n", "\n", "Two observations can be made on this method:\n", "1. when we start the iteration process $u_i^m$ requires a value meaning that we must chose an initial value or guess for the dependent variable $u$\n", "2. after several iterations, the term $\\delta u_i$ will tend towards zero and we will have found the correct solution for $u$" ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "**Problem definition**\n", "\n", "In this notebook we will use a simple 1D bar on which we want to determine the distribution of the temperature as a test case for the iterative methods. The PDE governing this problem is the steady-state heat equation, which expressed in 1D, reads:\n", "\n", "$$ \\frac{\\partial^2 T}{\\partial x^2} = 0 $$\n", "\n", "In addition to the PDE, we define the length of the bar to be 1 and we impose Dirichlet boundary conditions on both the left and right sides of the bar.\n", "\n", "![image.png](attachment:image.png)\n", "\n", "We will approximate the partial derivative of the temperature $T$ using a centered finite differnce and the resulting numerical scheme is given as:\n", "\n", "$$ T_{i-1}-2T_i+T_{i+1} = 0$$\n", "\n", "The independent variable $x$ will be discretized using 6 values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Python solution**\n", "\n", "We will apply the Jacobi's method to our temperature distribution problem. First, we import the necessary python modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define the independent variable $x$:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nx = 6\n", "x = np.linspace(0.0,1.0,nx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set some variables to store the Dirichlet boundary conditions:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "T_left = 20.0\n", "T_right = 100.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cell we implement the Jacobi's method for our PDE. We define a maximum number of iterations and initialize the temperature with zeros except of the Dirichlet BCs." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "niter_max = 10 # We define here the maximum number of iterations\n", "#\n", "T = np.zeros([nx]) # We initialize the temperature along the bar\n", "T[0] = T_left # We enforce the Dirichlet BC on the left side of the bar\n", "T[-1] = T_right # We enforce the Dirichlet BC on the right side of the bar\n", "#\n", "for iter in range(0,niter_max):\n", " dT = np.zeros([nx])\n", " for i in range(1,nx-1):\n", " dT[i] = -(1.0/2.0)*(T[i-1]-2*T[i]+T[i+1])\n", " T -= dT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With a maximum of 10 iterations, we can see the resulting temperature in the bar plotted in the next cell. Alongside we also plot the error with respect to a reference temperature. In this particular case we obtain a maximum error of 17.5 % which is quite high. Increasing the number of iterations will reduce the error obviously." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Tref = np.linspace(T_left,T_right,nx)\n", "fig, axs = plt.subplots(1,2,figsize=(11,5))\n", "axs[0].plot(x,T,label='Iterative method')\n", "axs[0].plot(x,Tref,label='Reference',c='k',ls='--')\n", "axs[0].set_ylabel(r'Temperature $T$ along the bar')\n", "axs[0].set_xlabel(r'Position $x$ along the bar')\n", "axs[0].grid()\n", "axs[0].set_xlim([-0.01,1.01])\n", "axs[0].legend()\n", "\n", "axs[1].plot(x,100.0*(T-Tref)/Tref)\n", "axs[1].set_ylabel(r'Error (%)')\n", "axs[1].set_xlabel(r'Position $x$ along the bar')\n", "axs[1].grid()\n", "axs[1].set_xlim([-0.01,1.01])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Gauss-Seidel's method**\n", "\n", "The Gauss-Seidel's method builds on the Jacobi's one and replaces the values of the dependent variable $u$ from iteration $m$ by $m+1$. The updated system of equations is defined as:\n", "\n", "\n", "$$ \\begin{array}{l}\n", "u_1^{m+1} = u_1^{m} + \\frac{1}{a_{11}} \\left(b_1 - \\left( a_{11} u_1^m + a_{12} u_2^m + a_{13} u_3^m\\right) \\right)\\\\\n", "\\\\\n", "u_2^{m+1} = u_2^{m} + \\frac{1}{a_{22}} \\left(b_2 - \\left( a_{21} u_1^{m+1} + a_{22} u_2^m + a_{23} u_3^m\\right) \\right)\\\\\n", "\\\\\n", "u_3^{m+1} = u_3^{m} + \\frac{1}{a_{33}} \\left(b_3 - \\left( a_{31} u_1^{m+1} + a_{32} u_2^{m+1} + a_{33} u_3^m\\right) \\right) \\end{array}$$\n", "\n", "In a compact form, this method can be written as:\n", "\n", "$$ u_i^{m+1} = u_i^m + \\delta u_i$$\n", "$$ \\delta u_i = \\frac{1}{a_{ii}} \\left[ b_i - \\left( \\sum_{j=1}^{i-1} a_{i,j} u_{j}^{m+1} + \\sum_{j=i}^n a_{i,j} u_{j}^m \\right) \\right]$$\n", "\n", "The main idea behind the Gauss-Seidel's method is that once the dependent variable $u$ at point $x_i$ has been updated, we just computed $u_i^{m+1}$, this value can be used when computing $u_{i+1}^{m+1}$.\n", "\n", "When applied to our 1D bar problem, we can start the method on the left hand side of the bar and move gradually to the right hand side." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cell we implement the Gauss-Seidel's method for our PDE and we define a maximum number of iterations as well as an initialized temperature with zeros except of the Dirichlet BCs." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "niter_max = 20\n", "#\n", "T = np.zeros([nx])\n", "T[0] = T_left\n", "T[-1] = T_right\n", "#\n", "for iter in range(0,niter_max):\n", " for i in range(1,nx-1):\n", " dT = -(1.0/2.0)*(T[i-1]-2*T[i]+T[i+1])\n", " T[i] -= dT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With a maximum of 10 iterations, we can see the resulting temperature in the bar plotted in the next cell. Alongside we also plot the error with respect to a reference temperature. In this particular case we obtain a maximum error of 3.25 % which is still high but a lot lower compared to the Jacobi's method with the same number of iterations." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Tref = np.linspace(T_left,T_right,nx)\n", "fig, axs = plt.subplots(1,2,figsize=(11,5))\n", "axs[0].plot(x,T,label='Iterative method')\n", "axs[0].plot(x,Tref,label='Reference',c='k',ls='--')\n", "axs[0].set_ylabel(r'Temperature $T$ along the bar')\n", "axs[0].set_xlabel(r'Position $x$ along the bar')\n", "axs[0].grid()\n", "axs[0].set_xlim([-0.01,1.01])\n", "axs[0].legend()\n", "\n", "axs[1].plot(x,100.0*(T-Tref)/Tref)\n", "axs[1].set_ylabel(r'Error (%)')\n", "axs[1].set_xlabel(r'Position $x$ along the bar')\n", "axs[1].grid()\n", "axs[1].set_xlim([-0.01,1.01])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Successive Over Relaxation method**\n", "\n", "The successive over relaxation method (SOR) is build on the Gauss-Seidel's method and introduce a relaxation parameter $\\omega$ into the method. In compact form this method is written as:\n", "\n", "$$ u_i^{m+1} = u_i^m + \\delta u_i$$\n", "$$ \\delta u_i = \\frac{\\omega}{a_{ii}} \\left[ b_i - \\left( \\sum_{j=1}^{i-1} a_{i,j} u_{j}^{m+1} + \\sum_{j=i}^n a_{i,j} u_{j}^m \\right) \\right]$$\n", "\n", "where $\\omega$ is supposed to be greater than 1.\n", "\n", "One can interpret that method as $\\delta u$ being a correction factor to the value of $u$ at iteration $m+1$. With $\\omega$ being larger than 1, with $\\omega = 1$ one retrieves the Gauss-Seidel's method, we apply a bigger correction and we should though converge faster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cell we implement the SOR method for our PDE and we define a maximum number of iterations as well as an initialized temperature with zeros except of the Dirichlet BCs." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "niter_max = 10\n", "omega = 1.95\n", "#\n", "T = np.zeros([nx])\n", "T[0] = T_left\n", "T[-1] = T_right\n", "#\n", "for iter in range(0,niter_max):\n", " for i in range(1,nx-1):\n", " dT = -(omega/2.0)*(T[i-1]-2*T[i]+T[i+1])\n", " T[i] -= dT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With a maximum of 10 iterations, we can see the resulting temperature in the bar plotted in the next cell. Alongside we also plot the error with respect to a reference temperature. In this particular case we obtain a maximum error of 0.03 % which is better than with the previous methods." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Tref = np.linspace(T_left,T_right,nx)\n", "fig, axs = plt.subplots(1,2,figsize=(11,5))\n", "axs[0].plot(x,T,label='Iterative method')\n", "axs[0].plot(x,Tref,label='Reference',c='k',ls='--')\n", "axs[0].set_ylabel(r'Temperature $T$ along the bar')\n", "axs[0].set_xlabel(r'Position $x$ along the bar')\n", "axs[0].grid()\n", "axs[0].set_xlim([-0.01,1.01])\n", "axs[0].legend()\n", "\n", "axs[1].plot(x,100.0*(T-Tref)/Tref)\n", "axs[1].set_ylabel(r'Error (%)')\n", "axs[1].set_xlabel(r'Position $x$ along the bar')\n", "axs[1].grid()\n", "axs[1].set_xlim([-0.01,1.01])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Convergence and tolerances in iterative methods**\n", "\n", "When we deal with an iterative method, the question of how many iterations are needed? will always raise. It is customary to introduce a measure of the *error* when using such method. In the case of a numerical method, as long as we don't have an exact solution it is difficult to establish an error measurement. In this context we will rather evaluate if our method has converged.\n", "\n", "If we recall the general update of the dependent variable $u$, the iterative method are defined as:\n", "\n", "$$ u_i^{m+1} = u_i^{m} + \\delta u$$\n", "\n", "When the iterative method has converged, the dependent variable $u$ at iteration $m+1$ is equal to the one at iteration $m$ and thus $\\delta u$ tends towards zero. The convergence criterion, which we can used to stop the iteration process, can then be built using the incremental change of the dependent variable $\\delta u$. Several convergence can then be built:\n", "\n", "1. $\\max{| \\delta u_i |}$ which will track the maximum incremental value of $u$ over the domain,\n", "2. $\\frac{1}{n} \\sum_{i=1}^n | \\delta u_i |$ which will track the mean value of the incremental value of $u$ over the domain.\n", "\n", "This convergence criteria will be compared to a tolerance $\\epsilon$.\n", "\n", "A potential limitation of these convergence criteria is that they will carry the units of $u$, meaning that for a fixed value of $\\epsilon$ changing the unit system of the dependent variable will produce various level of errors. If one wants to avoid such problem, we need to normalize the incremental change of $u$ by the value of the dependent variable. The previous convergence criteria will then be expressed as:\n", "\n", "1. $\\max{| \\delta u_i / u_i|}$ which will track the maximum incremental value of $u$ over the domain,\n", "2. $\\frac{1}{n} \\sum_{i=1}^n | \\delta u_i / u_i |$ which will track the mean value of the incremental value of $u$ over the domain." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To implement such convergence checks, we need to introduce a `while` statement and monitor a convergence criterion. The following example implements a maximum evaluation of $\\delta u$ over the bar within the Gauss-Seidel's method." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergence is reached within 49 iterations\n" ] } ], "source": [ "tol = 0.001\n", "#\n", "T = np.zeros([nx])\n", "T[0] = T_left\n", "T[-1] = T_right\n", "#\n", "conv, iter = 1.0, 0\n", "while conv >= tol:\n", " dT = np.zeros([nx])\n", " for i in range(1,nx-1):\n", " dT[i] = -(1.0/2.0)*(T[i-1]-2*T[i]+T[i+1])\n", " T -= dT\n", " conv = np.max(np.abs(dT))\n", " iter += 1\n", "\n", "print('Convergence is reached within {} iterations'.format(iter))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Tref = np.linspace(T_left,T_right,nx)\n", "fig, axs = plt.subplots(1,2,figsize=(11,5))\n", "axs[0].plot(x,T,label='Iterative method')\n", "axs[0].plot(x,Tref,label='Reference',c='k',ls='--')\n", "axs[0].set_ylabel(r'Temperature $T$ along the bar')\n", "axs[0].set_xlabel(r'Position $x$ along the bar')\n", "axs[0].grid()\n", "axs[0].set_xlim([-0.01,1.01])\n", "axs[0].legend()\n", "\n", "axs[1].plot(x,100.0*(T-Tref)/Tref)\n", "axs[1].set_ylabel(r'Error (%)')\n", "axs[1].set_xlabel(r'Position $x$ along the bar')\n", "axs[1].grid()\n", "axs[1].set_xlim([-0.01,1.01])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following cell, a convergence criterion based on the average value of $\\delta u$ over the bar is implemented." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergence is reached within 43 iterations\n" ] } ], "source": [ "tol = 0.001\n", "#\n", "T = np.zeros([nx])\n", "T[0] = T_left\n", "T[-1] = T_right\n", "#\n", "conv, iter = 1.0, 0\n", "while conv >= tol:\n", " dT = np.zeros([nx])\n", " for i in range(1,nx-1):\n", " dT[i] = -(1.0/2.0)*(T[i-1]-2*T[i]+T[i+1])\n", " T -= dT\n", " conv = np.sum(np.abs(dT))/nx\n", " iter += 1\n", "\n", "print('Convergence is reached within {} iterations'.format(iter))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Tref = np.linspace(T_left,T_right,nx)\n", "fig, axs = plt.subplots(1,2,figsize=(11,5))\n", "axs[0].plot(x,T,label='Iterative method')\n", "axs[0].plot(x,Tref,label='Reference',c='k',ls='--')\n", "axs[0].set_ylabel(r'Temperature $T$ along the bar')\n", "axs[0].set_xlabel(r'Position $x$ along the bar')\n", "axs[0].grid()\n", "axs[0].set_xlim([-0.01,1.01])\n", "axs[0].legend()\n", "\n", "axs[1].plot(x,100.0*(T-Tref)/Tref)\n", "axs[1].set_ylabel(r'Error (%)')\n", "axs[1].set_xlabel(r'Position $x$ along the bar')\n", "axs[1].grid()\n", "axs[1].set_xlim([-0.01,1.01])\n", "plt.tight_layout()" ] }, { "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 2 }