{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "view-in-github" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "6IynTt-pkkxH" }, "source": [ "# Preconditioners\n" ] }, { "cell_type": "markdown", "metadata": { "id": "VvsUjH0lvApz" }, "source": [ "Examples for this lecture are drawn from [here](https://tbetcke.github.io/hpc_lecture_notes/intro.html)\n", "\n", "The basic strategy of preconditioning is to modify the original linear system to one that *behaves better*:\n", "\n", "- Direct solvers typically don't need *user specified* preconditioning since they are already robust and/or the preconditioner can be integrated. E.g.: Row swapping via the permutation matrix before conducting Gaussian Elimination / LU decomposition to achieve diagonal dominance which is cheap and easy to implement.\n", "\n", "- Iterative solvers benefit substantially from preconditioners to achieve efficient convergence and control roundoff errors. Many (if not all) sparse matrix iterative solvers expect preconditioners and are applied *efficiently* during execution. Unfortuantely, **there is no general preconditioning technique that always works well** :-(\n", "\n", "Certain preconditioners are effective on a particular type of physics, but even then the nature of the boundaries can torpedo convergence.\n", "\n", "Preconditioners are an active field of research and key to solving large linear systems ($n=10^{6+})$. They are also critical to using distributed computing (HPC).\n", "\n", "There are a variety of preconditioners, the mathematics of which we won't explore here. Rather, lets explore what to look for in a preconditioner, and how to use them." ] }, { "cell_type": "markdown", "metadata": { "id": "LAi7o5bR04c8" }, "source": [ "Consider the linear system,\n", "$Ax=b$\n", "we want to multiply the equation by a matrix $P^{-1}$ to make the system easier to solve. As long as $P^{-1}$ isn't singular, the answer won't be changed.\n", "\n", "### Left preconditioning\n", "\n", "The most traditional and common preconditioner is:\n", "\n", "$P^{-1} A x = P^{-1} b$\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "TVFnicvynuti" }, "source": [ "### Right preconditioning\n", "\n", "A varient that is better for some cases\n", "\n", "$A P^{-1} y = b$\n", "\n", "with,\n", "\n", "$P x = y $" ] }, { "cell_type": "markdown", "metadata": { "id": "cX4PBYQ7nwjx" }, "source": [ "### Two sided preconditioning\n", "\n", "The combination of left and right:\n", "\n", "$Q A P^{-1} y = Q b$\n", "\n", "again with,\n", "\n", "$P x = y$\n", "\n", "this method may be needed to preserve symmetry of $A$ (which we have seen is very useful!). The problem is that in general the product of two symmetric matricies is not symmetric! If we say that $Q^T=P^{-1}$, then $QAP^{-1}$ is symmetric." ] }, { "cell_type": "markdown", "metadata": { "id": "VbaLDxaVen4s" }, "source": [ "Recall that the inverse of a sparse matrix is typically dense, and therefore we don't usually want to store $P^{-1}$ explicitly. It is better to store $P$ and the method by which we would apply $P^{-1}$ to a vector. This is similar to solving a system by LU decomposition, $A=LU$. We don't calculate $A^{-1}$ explicitly, we keep $L$ and $U$ and solve systems sequentially." ] }, { "cell_type": "markdown", "metadata": { "id": "3VBdNzam0PiW" }, "source": [ "### Qualities\n", "\n", "The best preconditioner is $P = A$, which makes the system trivial. Failing this, we aim for $P^{-1} \\approx A^{-1}$ *in some sense*. This can be quantified by the *condition number* of the preconditioned matrix, which we aim to make $=1$." ] }, { "cell_type": "markdown", "metadata": { "id": "NhmKIl2L6oJd" }, "source": [ "Preconditioner quality is based on:\n", "- speed of computation and application of $P^{-1}$\n", "- memory requirements of storing $P^{-1}$ (if it is stored)\n", "- degree of *fill-in* (sparsity compared to $A$)\n", "- parallelizability\n", "\n", "Since calculation, storage, and application of $P^{-1}$ is an additional computational expense, the benefit must be *worth it*. Often this translates to the total speed of solution (preconditioning and iteration) but it may also extend to the stability of the computation.\n", "\n", "E.g.: In time-dependent nonlinear PDEs, we will be solving linear systems thousands of times. A solver that takes twice as long every time but always converges may be better than one that solves fast but sometimes doesn't converge (which may spoil any progress you've made!)." ] }, { "cell_type": "markdown", "metadata": { "id": "4Rk7eYRBoqf-" }, "source": [ "# Examples\n", "\n", "Let's discuss some common preconditioners and see their effect **on a particular system**." ] }, { "cell_type": "markdown", "metadata": { "id": "HAlrR2sXCuug" }, "source": [ "## Jacobi" ] }, { "cell_type": "markdown", "metadata": { "id": "6_x7Q2ZEKS7g" }, "source": [ "The Jacobi preconditioner (otherwise called diagonal scaling) is simply the main diagonal of $A$. The inverse is trivially the inverse of the diagonal elements, which means we can store $P^{-1}$ efficiently.\n" ] }, { "cell_type": "markdown", "metadata": { "id": "G3mCkBoJiahE" }, "source": [ "Example: Solve the discrete Poisson equation on the unit square,\n", "\n", "$-\\Delta u = 1$ on $\\Omega=[0,1]^2$\n", "\n", "with\n", "\n", "$u=0$ on $\\partial \\Omega$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "id": "amOHS2gakRoq" }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.sparse import coo_matrix\n", "\n", "def discretise_poisson(N, Q):\n", " \"\"\"Generate the matrix and rhs associated with the discrete Poisson operator.\"\"\"\n", "\n", " nelements = 5 * N**2 - 16 * N + 16\n", "\n", " row_ind = np.empty(nelements, dtype=np.float64)\n", " col_ind = np.empty(nelements, dtype=np.float64)\n", " data = np.empty(nelements, dtype=np.float64)\n", "\n", " f = np.empty(N * N, dtype=np.float64)\n", "\n", " count = 0\n", " for j in range(N):\n", " for i in range(N):\n", " if i == 0 or i == N - 1 or j == 0 or j == N - 1:\n", " row_ind[count] = col_ind[count] = j * N + i\n", " data[count] = 1\n", " f[j * N + i] = 0\n", " count += 1\n", "\n", " else:\n", " row_ind[count : count + 5] = j * N + i\n", " col_ind[count] = j * N + i\n", " col_ind[count + 1] = j * N + i + 1\n", " col_ind[count + 2] = j * N + i - 1\n", " col_ind[count + 3] = (j + 1) * N + i\n", " col_ind[count + 4] = (j - 1) * N + i\n", "\n", " data[count] = 4 * (N - 1)**2\n", " data[count + 1 : count + 5] = - (N - 1)**2\n", " f[j * N + i] = Q\n", "\n", " count += 5\n", "\n", " return coo_matrix((data, (row_ind, col_ind)), shape=(N**2, N**2)).tocsr(), f" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 435 }, "id": "5rL1s70oXRke", "outputId": "dceb4952-8c04-4868-dfdd-61837676917c" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 10 # Mesh size\n", "A, f = discretise_poisson(N, 1)\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "plt.spy(A, markersize=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "9v6FrzBtVfqg" }, "source": [ "Implement a Jacobi preconditioner" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 879 }, "id": "s8iTu7GNE6U_", "outputId": "a44321c3-0e21-419a-bc62-069f2007d17d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unconditioned condition number : 1115.4433890393989\n", "Preconditioned condition number : 32.30864938962053\n", "[ 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00 -3.46944695e-18\n", " -1.38777878e-17 -1.38777878e-17 -2.77555756e-17 -2.77555756e-17\n", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.sparse import diags#, LinearOperator\n", "from scipy.sparse.linalg import gmres\n", "from numpy.linalg import cond\n", "\n", "\n", "\n", "Pinv_jacobi = diags(1/A.diagonal(), offsets = 0,format='csr')\n", "\n", "print('Unconditioned condition number :', np.linalg.cond(A.todense()))\n", "print('Preconditioned condition number :', np.linalg.cond(Pinv_jacobi@A.todense()))\n", "\n", "\n", "residuals1 = []\n", "callback1 = lambda res: residuals1.append(res)\n", "residuals2 = []\n", "callback2 = lambda res: residuals2.append(res)\n", "\n", "#Solve the system using GMRES with the Jacobi preconditioner\n", "x_uncond, _ = gmres(A, f, callback=callback1, callback_type='pr_norm')\n", "\n", "\n", "x_cond, _ = gmres(A, f, M = Pinv_jacobi, callback=callback2, callback_type='pr_norm')\n", "\n", "print(x_cond-x_uncond)\n", "\n", "\n", "fig = plt.figure(figsize=(10, 4))\n", "ax1 = fig.add_subplot(121)\n", "ax1.semilogy(residuals1)\n", "ax1.set_title('No preconditioning')\n", "ax1.set_xlabel('iteration count')\n", "ax1.set_ylabel('relative residual')\n", "\n", "ax2 = fig.add_subplot(122)\n", "ax2.semilogy(residuals2)\n", "ax2.set_title('Jacobi Preconditioning')\n", "ax2.set_xlabel('iteration count')\n", "ax2.set_ylabel('relative residual');" ] }, { "cell_type": "markdown", "metadata": { "id": "jVfsFLr9an5h" }, "source": [ "meh." ] }, { "cell_type": "markdown", "metadata": { "id": "n5LQlWCsk4fJ" }, "source": [ "##Incomplete LU (ILU)" ] }, { "cell_type": "markdown", "metadata": { "id": "1cXxdp_1q4WW" }, "source": [ "For a sparse matrix $A$, the $L$ and $U$ factores are more filled in than than $A$ which increases memory usage.\n", "\n", "Instead of $A=LU$, we can look for factors $\\tilde{L}$, $\\tilde{U}$ such that $P=\\tilde{L}\\tilde{U} \\approx A$.\n", "\n", "The different approximations characterized by the degree of fill-in compared to the original matrix $A$. ILU(0) preserves the sparsity pattern. A common approach is to match the sparsity of $A^k$ (which becomes more and more dense), forming the $ILU(k)$ approximations.\n", "\n", "Obviously solving $\\tilde{L} \\tilde{U} x = b$ won't give us the correct answer, so instead we use $P$ as a preconditioner for an iterative algorithm. " ] }, { "cell_type": "markdown", "metadata": { "id": "mh-St6H55VS_" }, "source": [ "Let's see the LU decomposotion" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 893 }, "id": "UNETVNnq5d8n", "outputId": "76cc9df1-d75d-469b-d16a-fc092281d6e8" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ ":15: SparseEfficiencyWarning: splu converted its input to CSC format\n", " lu = splu(A)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# prompt: Find the LU factors of A, and make spy plots of both side by side\n", "\n", "import matplotlib.pyplot as plt\n", "from scipy.sparse.linalg import splu, spilu, gmres\n", "\n", "N = 100 #Mesh size\n", "A, f = discretise_poisson(N, 1)\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "plt.spy(A, markersize=1)\n", "plt.show()\n", "\n", "\n", "lu = splu(A)\n", "L = lu.L\n", "U = lu.U\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n", "ax1.spy(L, markersize=1)\n", "ax1.set_title('L')\n", "ax2.spy(U, markersize=1)\n", "ax2.set_title('U')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "AUm_3aoywdjq" }, "source": [ "Perform sparse ilu and apply to the system.\n", "\n", "**NOTE** The precoditioner is passed as an operator. Rather than passing $P^{-1}$ we are passing a function that solve $P x = y$. This way we avoid storing a dense matrix!" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 445 }, "id": "M6G4rLgOBADR", "outputId": "c35f20d7-b4b7-49fb-fda5-a1b0d93df9d4" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":3: SparseEfficiencyWarning: spilu converted its input to CSC format\n", " ilu = spilu(A, fill_factor=20, drop_rule='dynamic')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from scipy.sparse.linalg import spilu, LinearOperator\n", "ilu = spilu(A, fill_factor=20, drop_rule='dynamic')\n", "\n", "M = LinearOperator(matvec=ilu.solve, shape=(N**2, N**2), dtype=np.float64)\n", "\n", "residuals1 = []\n", "callback1 = lambda res: residuals1.append(res)\n", "x, _ = gmres(A, f, callback=callback1, callback_type='pr_norm')\n", "\n", "\n", "residuals2 = []\n", "callback2 = lambda res: residuals2.append(res)\n", "x, _ = gmres(A, f, M=M, callback=callback2, callback_type='pr_norm')\n", "\n", "fig = plt.figure(figsize=(10, 4))\n", "ax1 = fig.add_subplot(121)\n", "ax1.semilogy(residuals1)\n", "ax1.set_title('No preconditioning')\n", "ax1.set_xlabel('iteration count')\n", "ax1.set_ylabel('relative residual')\n", "\n", "ax2 = fig.add_subplot(122)\n", "ax2.semilogy(residuals2)\n", "ax2.set_title('ILU Preconditioning')\n", "ax2.set_xlabel('iteration count')\n", "ax2.set_ylabel('relative residual');" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 472 }, "id": "wb4geI4D1Y9p", "outputId": "e3fa845a-acb2-490b-f7c7-a6e272f0a00d" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Assuming x_cond contains the solution obtained with preconditioning\n", "solution = x.reshape(N, N)\n", "\n", "plt.imshow(solution, cmap='viridis')\n", "plt.colorbar()\n", "plt.title('Solution of the Poisson Equation')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "SQLaKyCwOX7d" }, "source": [ "##Sparse Approximate Inverse" ] }, { "cell_type": "markdown", "metadata": { "id": "Xzy2J626Ob-_" }, "source": [ "Sparse approximate inverse is another tool that attempts to find $P^{-1}$ so as to minimize the Frobenius norm of\n", "\n", "$||I-AP^{-1}||$\n", "\n", "It generates successive iterations of the preconditioner with increasing density." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "id": "AfVY7WGKOyrw" }, "outputs": [], "source": [ "def spai(A, m):\n", " \"\"\"Perform m step of the SPAI iteration.\"\"\"\n", " from scipy.sparse import identity\n", " from scipy.sparse import diags\n", " from scipy.sparse.linalg import onenormest\n", "\n", " n = A.shape[0]\n", "\n", " ident = identity(n, format='csr')\n", " alpha = 2 / onenormest(A @ A.T)\n", " M = alpha * A\n", "\n", " for index in range(m):\n", " C = A @ M\n", " G = ident - C\n", " AG = A @ G\n", " trace = (G.T @ AG).diagonal().sum()\n", " alpha = trace / np.linalg.norm(AG.data)**2\n", " M = M + alpha * G\n", "\n", " return M" ] }, { "cell_type": "markdown", "metadata": { "id": "-0FU0jusnXEH" }, "source": [ "Note the demonstrative example is for a different matrix." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "INnqcyXaPHqz", "outputId": "b7b990eb-9972-4d02-8521-25f1fa412796" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unconditioned condition number : 3961.9652414685806\n", "Preconditioned condition number : 40.18659718436124\n" ] } ], "source": [ "import numpy as np\n", "from scipy.sparse import diags\n", "\n", "n = 1000\n", "\n", "data = [2.001 * np.ones(n),\n", " -1. * np.ones(n - 1),\n", " -1. * np.ones(n - 1)]\n", "\n", "offsets = [0, 1, -1]\n", "\n", "A = diags(data, offsets=offsets, shape=(n, n), format='csr')\n", "\n", "M = spai(A, 50)\n", "\n", "print('Unconditioned condition number :', np.linalg.cond(A.todense()))\n", "print('Preconditioned condition number :', np.linalg.cond(A.todense() @ M.todense()))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 751 }, "id": "MyXry66CPzCZ", "outputId": "66657aa5-58ba-4cef-d4c0-0dd153ebf4c7" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.sparse.linalg import cg\n", "n = A.shape[0]\n", "b = np.ones(n)\n", "\n", "\n", "residuals = []\n", "callback = lambda x: residuals.append(np.linalg.norm(A @ x - b))\n", "x, _ = cg(A, b, callback=callback)\n", "\n", "residuals_preconditioned = []\n", "callback = lambda x: residuals_preconditioned.append(np.linalg.norm(A @ x - b) / np.linalg.norm(b))\n", "x, _ = cg(A, b, M=M, callback=callback)\n", "\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111)\n", "ax.semilogy(residuals, 'k--')\n", "ax.semilogy(residuals_preconditioned, 'b--')\n", "ax.set_ylabel('relative residual')\n", "fig.legend(['no preconditioning', 'SPAI'], loc='lower center', fancybox=True, shadow=True)" ] }, { "cell_type": "markdown", "metadata": { "id": "q3dFyVTmR8GY" }, "source": [ "# Preconditioners in High Performance Computing\n", "\n", "High Performance Computing (HPC) describes systems that have a number of distributed nodes (thousands to millions of cores) connected by a high speed network. Each node has its own memory bank and possibly multiple cores which share that memory.\n", "\n", "Effective usage of HPC requires a balance between distributed computing and the expense of inter-node communication.\n", "\n", "- Parallelized direct solver methods do exists (most modern implementations are) but they scale poorly with the number of nodes.\n", "\n", "- Iterative solvers parallelize better but require preconditioning for effective convergence. Since the preconditioner doesn't have to be a perfect inverse, there are strategies to distribute preconditioner computation with limited inter-node communication, which is then iterated to find the actual solution." ] }, { "cell_type": "markdown", "metadata": { "id": "odWKa-t4WTmH" }, "source": [ "Let us now focus on solutions of differential equations over a given spatial domain, which is the most common area where these techniques are needed and encountered.\n", "\n", "Note - the following are geometric methods, which implies passing of information of the geometry to the solver." ] }, { "cell_type": "markdown", "metadata": { "id": "uwVDQba7Vvkw" }, "source": [ "##Domain decomposition" ] }, { "cell_type": "markdown", "metadata": { "id": "C-OMAWt4VybL" }, "source": [ "Domain decomposition methods are the most intuitive approach since they literally partition the full domain (geometry) into smaller chunks. Each chunk is assigned to a node (or subgroup) and solved locally.\n", "\n", "For example, a finite element representation of a plane wing, with colours denoting different *chunks*:" ] }, { "cell_type": "markdown", "metadata": { "id": "IAjWVwdHXOVQ" }, "source": [ "![dpw_near_grid.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "bZKVSmhoX2GJ" }, "source": [ "A common approach is the *Addative Schwartz method* which defines *levels of overlap* between adjacent subdomains. The overlap enables the recombination of subdomains by passing information between subdomains.\n", "\n", "The nice thing about this is that we can do something like a direct solve on the subdomains which is great for black-box robustness! Since direct solvers scale $~O(n^3)$, this can be very effective although the cost of the global iterative scheme and the internode communication must be considered.\n", "\n", "These methods suffer with physics that propogates quickly throughout the domain. E.g.: Elasticity which is quasitstatic - a small displacement on one side must cascade through all the chunks." ] }, { "cell_type": "markdown", "metadata": { "id": "KzZFXlRpZui4" }, "source": [ "## Multigrid methods" ] }, { "cell_type": "markdown", "metadata": { "id": "8OSuQYWAZxTQ" }, "source": [ "Multigrid methods are a modern and tremendously powerful approach that can even achieve $O(n)$ scaling! The idea is to solve the differential equations on a *hierarchy of discretizations*." ] }, { "cell_type": "markdown", "metadata": { "id": "ltddXRyceB83" }, "source": [ "![Untitled.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "k9XwY4A_eDqN" }, "source": [ "The fine domain is the resolution that you actually want, but the course domain can be small enough to treat with a direct solver (for robustness). The equations are treated to a few iterations (Commmonly SOR) on each lower level before being passed along.\n", "\n", "The method naturally parallelizes; fine domains can be domain decomposed without overlap, because the communication is handled by the level above it.\n", "\n", "The full mathematical analysis actually shows this method is best considered in terms of Fourier space as each level reduces certain wavelengths of the residual. Elliptic problems (e.g.: elasticity) are especially well treated since information can be passed throughout the domain on the coarse level.\n", "\n", "- Geometric multigrid methods need to *know* about the geometry, not just the matrix.\n", "- Algebraic multigrid methods can work completely on the matrix itself." ] }, { "cell_type": "markdown", "metadata": { "id": "v9pIuCOv6LBJ" }, "source": [ "#Multiphysics\n", "\n", "Typically, a certain types of physics (e.g.: parabolic / diffusive equations like heat and mass transport) will respond well to some, and other physics (e.g.elliptic / quasi-static equations like elasticity) will respond better to others. The question then is *how to combine them for a multiphysics equation?*\n", "\n", "Generally, each type of physics will have an associated field and vector of unknowns. E.g.: the temperature and concentration fields represented by $x_T$ and $x_c$ respectively. Linear system then adopts a block structure,\n", "\n", "$\\begin{bmatrix} A_{TT} & A_{Tc} \\\\ A_{cT} & A_{cc} \\end{bmatrix} \\begin{bmatrix} x_T \\\\ x_c \\end{bmatrix} = \\begin{bmatrix} b_T \\\\ b_c \\end{bmatrix}$\n", "\n", "where the diagonal of the $A$ matrix reflect the type of physics (heat / mass transport) and the cross-terms reflect couping (temperature dependent diffusivity / concentration dependent conductivity). These are sometimes called *operator split* methods, *physics-based preconditioners*, or *segregated solvers*.\n" ] }, { "cell_type": "markdown", "metadata": { "id": "kUYSCaUbhVtO" }, "source": [ "Typically we have some ideas how to solve the diagonals, but how do we effectively precondition the block $A$ matrix? One option is using a *block Jacobi* method:\n", "\n", "\\begin{align}\n", "P &= \\begin{bmatrix} A_{TT} & 0 \\\\ 0 & A_{cc} \\end{bmatrix} \\\\\n", "P^{-1} &= \\begin{bmatrix} A^{-1}_{TT} & 0 \\\\ 0 & A^{-1}_{cc} \\end{bmatrix}\n", "\\end{align}\n", "\n", "For a $2x2$ block system, we may use the *block Schur complement* method:\n", "\n", "$$\n", "\\begin{bmatrix}\n", "A & B \\\\\n", "C & D\n", "\\end{bmatrix}^{-1} =\n", "\\begin{bmatrix}\n", "A^{-1} + A^{-1}B(D - CA^{-1}B)^{-1}CA^{-1} & -A^{-1}B(D - CA^{-1}B)^{-1} \\\\\n", "-(D - CA^{-1}B)^{-1}CA^{-1} & (D - CA^{-1}B)^{-1}\n", "\\end{bmatrix}\n", "$$\n", "but this has a problematic $A^{-1}$ buried inside." ] }, { "cell_type": "markdown", "metadata": { "id": "_aZJUB1LjOQs" }, "source": [ "#Dr. Mike's tips\n", "- Parallelized LU is still the go-to for most problems and should be your first approach.\n", "- GMRES iteration is your next tool, but it needs preconditioning for effective use.\n", "- If you are studying a well-known model, you can generally find good preconditioners in the literature. Use them!\n", "- If not, most PDE solvers will have the ability to test different preconditioners and combine them hierarchically (COMSOL Multiphysics, PETSc*, etc).\n", "- Addative Schwartz with LU on the subdomains is the most robust preconditioner I've found (aim for about n=10,000 per node).\n", "- Geometric multigrid is finiky, but if you can get it working it is remarkable (Use it for elasticity!).\n", "\n", "\n", "*Portable, Extensible Toolkit for Scientific Computation https://petsc.org/release/\n", "\n" ] } ], "metadata": { "colab": { "authorship_tag": "ABX9TyNZgU+Pz+T4LyrhmEEyrLf6", "include_colab_link": true, "provenance": [], "toc_visible": true }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }