{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Solving the wave equation fro c = 4\n", "# using sinusoidal basis \n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "import deepxde as dde\n", "import matplotlib.pyplot as plt\n", "from deepxde.backend import torch \n", "import numpy as np " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def pde(x,y):\n", " dy_xx = dde.grad.hessian(y, x, i=0, j=0)\n", " dy_tt = dde.grad.hessian(y, x, i=1, j=1)\n", "\n", " res = dy_tt - 16*dy_xx\n", " return res \n", "\n", "def func(x):\n", " return np.sin(np.pi*x[:,0:1])*np.cos(4*np.pi*x[:,1:2]) + 0.5*np.sin(4*np.pi*x[:,0:1])*np.cos(16*np.pi*x[:,1:2])\n", "\n", "def func_plot(x,t):\n", " return np.sin(np.pi*x)*np.cos(4*np.pi*t) + 0.5*np.sin(4*np.pi*x)*np.cos(16*np.pi*t)\n", "x = np.linspace(0,1,100)\n", "t = np.linspace(0,1,100)\n", "X,T = np.meshgrid(x,t)\n", "\n", "plt.imshow(func_plot(X,T))\n", "\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "\n", "geom = dde.geometry.Interval(0, 1)\n", "timedomain = dde.geometry.TimeDomain(0, 1)\n", "geomtime = dde.geometry.GeometryXTime(geom, timedomain)\n", "\n", "bc = dde.icbc.DirichletBC(geomtime, func, lambda _, on_boundary: on_boundary)\n", "ic_1 = dde.icbc.IC(geomtime, func, lambda _, on_initial: on_initial)\n", "# do not use dde.NeumannBC here, since `normal_derivative` does not work with temporal coordinate.\n", "ic_2 = dde.icbc.OperatorBC(\n", " geomtime,\n", " lambda x, y, _: dde.grad.jacobian(y, x, i=0, j=1),\n", " lambda x, _: dde.utils.isclose(x[1], 0),\n", ")" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "def output_transform(x,y):\n", " X = x[:,0:1]\n", " T = x[:,1:2]\n", " res = 0.0\n", " for n in range(1,5):\n", " res = res + y[:,n-1:n]*torch.cos(n*np.pi*4*T)*torch.sin(n*np.pi*X)\n", " return res\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "data = dde.data.TimePDE(\n", " geomtime,\n", " pde,\n", " [bc, ic_1, ic_2],\n", " num_domain=10000,\n", " num_boundary=360,\n", " num_initial=360,\n", " solution=func,\n", " num_test=10000,\n", ")\n", "\n", "layer_size = [2] + [100] * 6 + [4]\n", "activation = \"tanh\"\n", "initializer = \"Glorot uniform\"\n", "net = dde.nn.FNN(\n", " layer_size, activation, initializer\n", ")\n", "net.apply_feature_transform(lambda x: (x - 0.5) * 2 * np.sqrt(3))\n", "net.apply_output_transform(output_transform)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "layer_size_1 = [2] + [100] * 6 + [1]\n", "activation = \"tanh\"\n", "initializer = \"Glorot uniform\"\n", "net1 = dde.nn.FNN(\n", " layer_size_1, activation, initializer\n", ")\n", "net1.apply_feature_transform(lambda x: (x - 0.5) * 2 * np.sqrt(3))\n", "#net.apply_output_transform(output_transform)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Compiling model...\n", "'compile' took 0.000339 s\n", "\n", "Compiling model...\n", "'compile' took 0.000464 s\n", "\n" ] } ], "source": [ "model = dde.Model(data, net)\n", "\n", "model.compile(\n", " \"adam\",\n", " lr=0.001,\n", " metrics=[\"l2 relative error\"],\n", " \n", ")\n", "\n", "\n", "model1 = dde.Model(data, net1)\n", "\n", "model1.compile(\n", " \"adam\",\n", " lr=0.001,\n", " metrics=[\"l2 relative error\"],\n", " \n", ")" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training model...\n", "\n", "Step Train loss Test loss Test metric \n", "0 [2.40e+04, 1.74e-14, 7.68e-01, 9.09e-02] [2.32e+04, 1.74e-14, 7.68e-01, 9.09e-02] [1.06e+00] \n", "1000 [6.53e-02, 1.32e-17, 2.77e-03, 1.49e-04] [5.44e-02, 1.32e-17, 2.77e-03, 1.49e-04] [6.66e-02] \n", "2000 [2.02e-02, 7.76e-21, 1.44e-06, 6.65e-05] [1.68e-02, 7.76e-21, 1.44e-06, 6.65e-05] [1.61e-03] \n", "3000 [1.01e-02, 1.61e-21, 1.17e-07, 2.69e-05] [8.62e-03, 1.61e-21, 1.17e-07, 2.69e-05] [4.99e-04] \n", "4000 [4.91e-03, 5.82e-22, 3.37e-08, 8.71e-06] [4.15e-03, 5.82e-22, 3.37e-08, 8.71e-06] [2.61e-04] \n", "5000 [1.62e-02, 1.04e-20, 1.21e-06, 8.74e-06] [1.44e-02, 1.04e-20, 1.21e-06, 8.74e-06] [1.45e-03] \n", "\n", "Best model at step 4000:\n", " train loss: 4.91e-03\n", " test loss: 4.16e-03\n", " test metric: [2.61e-04]\n", "\n", "'train' took 242.485979 s\n", "\n", "Training model...\n", "\n", "Step Train loss Test loss Test metric \n", "0 [1.29e+01, 5.55e-02, 4.02e-01, 5.96e-02] [1.26e+01, 5.55e-02, 4.02e-01, 5.96e-02] [1.02e+00] \n", "1000 [4.75e-03, 7.33e-02, 2.51e-01, 4.56e-03] [4.14e-03, 7.33e-02, 2.51e-01, 4.56e-03] [1.07e+00] \n", "2000 [2.58e-03, 6.95e-02, 2.35e-01, 1.91e-03] [2.09e-03, 6.95e-02, 2.35e-01, 1.91e-03] [1.07e+00] \n", "3000 [4.01e-03, 5.64e-02, 2.12e-01, 3.00e-03] [3.47e-03, 5.64e-02, 2.12e-01, 3.00e-03] [1.04e+00] \n", "4000 [1.34e-03, 5.39e-02, 1.98e-01, 1.14e-03] [9.97e-04, 5.39e-02, 1.98e-01, 1.14e-03] [1.03e+00] \n", "5000 [4.33e-03, 5.97e-02, 2.03e-01, 9.51e-04] [3.70e-03, 5.97e-02, 2.03e-01, 9.51e-04] [1.04e+00] \n", "\n", "Best model at step 4000:\n", " train loss: 2.55e-01\n", " test loss: 2.54e-01\n", " test metric: [1.03e+00]\n", "\n", "'train' took 160.034375 s\n", "\n" ] } ], "source": [ "\n", "losshistory, train_state = model.train(\n", " iterations=5000, display_every=1000\n", ")\n", "\n", "\n", "\n", "losshistory1, train_state1 = model1.train(\n", " iterations=5000, display_every=1000\n", ")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving loss history to /home/vemuri/Desktop/BasisPINNs/loss.dat ...\n", "Saving training data to /home/vemuri/Desktop/BasisPINNs/train.dat ...\n", "Saving test data to /home/vemuri/Desktop/BasisPINNs/test.dat ...\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dde.saveplot(losshistory, train_state, issave=True, isplot=True)\n" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving loss history to /home/vemuri/Desktop/BasisPINNs/loss.dat ...\n", "Saving training data to /home/vemuri/Desktop/BasisPINNs/train.dat ...\n", "Saving test data to /home/vemuri/Desktop/BasisPINNs/test.dat ...\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dde.saveplot(losshistory1, train_state1, issave=True, isplot=True)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "x_test= []\n", "for i in x:\n", " for j in t:\n", " x_test.append([i,j])" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "u_preds = model.predict(x_test)\n", "u_preds_1= model1.predict(x_test)\n", "u_true = func(np.array(x_test))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(1,3,figsize=(20,5))\n", "im1 = ax[0].imshow(u_preds.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im1)\n", "im2 = ax[1].imshow(u_true.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im2)\n", "xticks= [0,20,40,60,80]\n", "xlabels = [0,0.2,0.4,0.6,0.8]\n", "yticks =[80,60,40,20]\n", "ylabels=[0.2,0.4,0.6,0.8]\n", "ax[0].set_xticks(xticks)\n", "ax[0].set_xticklabels(xlabels)\n", "ax[0].set_yticks(yticks)\n", "ax[0].set_yticklabels(ylabels)\n", "im3= ax[2].imshow(np.abs(u_true-u_preds).reshape((100,100)),cmap=\"Reds\")\n", "fig.colorbar(im3)\n", "ax[0].set_title(\"PINN prediction\",fontsize=15)\n", "ax[0].set_xlabel(\"t\",fontsize=15)\n", "ax[0].set_ylabel(\"x\",fontsize=15)\n", "\n", "ax[1].set_title(\"Ground Truth\",fontsize=15)\n", "ax[1].set_xlabel(\"t\",fontsize=15)\n", "ax[1].set_ylabel(\"x\",fontsize=15)\n", "ax[2].set_title(\"Pointwise Error\",fontsize=15)\n", "ax[2].set_xlabel(\"t\",fontsize=15)\n", "ax[2].set_ylabel(\"x\",fontsize=15)\n", "ax[1].set_xticks(xticks)\n", "ax[1].set_xticklabels(xlabels)\n", "ax[1].set_yticks(yticks)\n", "ax[1].set_yticklabels(ylabels)\n", "\n", "ax[2].set_xticks(xticks)\n", "ax[2].set_xticklabels(xlabels)\n", "ax[2].set_yticks(yticks)\n", "ax[2].set_yticklabels(ylabels)\n", "ax[0].xaxis.set_tick_params(labelsize=15)\n", "ax[0].yaxis.set_tick_params(labelsize=15)\n", "ax[1].xaxis.set_tick_params(labelsize=15)\n", "ax[1].yaxis.set_tick_params(labelsize=15)\n", "ax[2].xaxis.set_tick_params(labelsize=15)\n", "ax[2].yaxis.set_tick_params(labelsize=15)\n", "fig.suptitle(\"Wave equation using PINNs with sinusoidal basis\",fontsize=15)\n", "fig.savefig(\"wave_5basis.pdf\",dpi=500)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(1,3,figsize=(20,5))\n", "im1 = ax[0].imshow(u_preds_1.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im1)\n", "im2 = ax[1].imshow(u_true.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im2)\n", "xticks= [0,20,40,60,80]\n", "xlabels = [0,0.2,0.4,0.6,0.8]\n", "yticks =[80,60,40,20]\n", "ylabels=[0.2,0.4,0.6,0.8]\n", "ax[0].set_xticks(xticks)\n", "ax[0].set_xticklabels(xlabels)\n", "ax[0].set_yticks(yticks)\n", "ax[0].set_yticklabels(ylabels)\n", "im3= ax[2].imshow(np.abs(u_true-u_preds_1).reshape((100,100)),cmap=\"Reds\")\n", "fig.colorbar(im3)\n", "ax[0].set_title(\"PINN prediction\",fontsize=15)\n", "ax[0].set_xlabel(\"t\",fontsize=15)\n", "ax[0].set_ylabel(\"x\",fontsize=15)\n", "\n", "ax[1].set_title(\"Ground Truth\",fontsize=15)\n", "ax[1].set_xlabel(\"t\",fontsize=15)\n", "ax[1].set_ylabel(\"x\",fontsize=15)\n", "ax[2].set_title(\"Pointwise Error\",fontsize=15)\n", "ax[2].set_xlabel(\"t\",fontsize=15)\n", "ax[2].set_ylabel(\"x\",fontsize=15)\n", "ax[1].set_xticks(xticks)\n", "ax[1].set_xticklabels(xlabels)\n", "ax[1].set_yticks(yticks)\n", "ax[1].set_yticklabels(ylabels)\n", "\n", "ax[2].set_xticks(xticks)\n", "ax[2].set_xticklabels(xlabels)\n", "ax[2].set_yticks(yticks)\n", "ax[2].set_yticklabels(ylabels)\n", "ax[0].xaxis.set_tick_params(labelsize=15)\n", "ax[0].yaxis.set_tick_params(labelsize=15)\n", "ax[1].xaxis.set_tick_params(labelsize=15)\n", "ax[1].yaxis.set_tick_params(labelsize=15)\n", "ax[2].xaxis.set_tick_params(labelsize=15)\n", "ax[2].yaxis.set_tick_params(labelsize=15)\n", "fig.suptitle(\"Wave equation using vanilla PINNs\",fontsize=15)\n", "fig.savefig(\"wave_vanilla.pdf\",dpi=500)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.64335889 -0.64356548 -0.64284348 ... 0.10621931 0.10628265\n", " 0.10626791]\n", " [-0.54799581 -0.5564008 -0.57833241 ... 0.17048107 0.19322714\n", " 0.20143371]\n", " [-0.4536248 -0.47009937 -0.51433171 ... 0.23416977 0.27924486\n", " 0.29554464]\n", " ...\n", " [-0.38194997 -0.36728043 -0.32534917 ... 0.09924098 0.05672547\n", " 0.04082416]\n", " [-0.34532607 -0.33833825 -0.31732432 ... 0.10118914 0.07950658\n", " 0.07121412]\n", " [-0.30767816 -0.30850166 -0.30875915 ... 0.1036396 0.10314256\n", " 0.10258643]]\n" ] } ], "source": [ "print((u_true-u_preds).reshape((100,100)))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "def plot_function(lx,rx,ly,ry,u_sol,out,method):\n", " methods=[\"W1 (uniform)\",\"W2 (max_by_mean)\",\"W3 (std)\",\"W4 (mean+std)\",\"W5 (mean*std)\",\"W6 (kurtosis)\"]\n", " plt.subplot(1,3,1)\n", " plt.imshow(u_sol, cmap=\"twilight\", origin=\"lower\",vmin=-1.0,vmax=1.0)\n", " plt.xticks(np.arange(0,101,50),np.linspace(lx,rx,3),fontsize=12)\n", " plt.yticks(np.arange(0,101,50),np.linspace(ly,ry,3),fontsize=12)\n", " plt.xlabel(r\"$x$\",fontsize=15)\n", " plt.ylabel(r\"$y$\",fontsize=15)\n", " plt.title(\"Ground Truth\",fontsize=18)\n", " plt.colorbar(fraction=0.046, pad=0.04)\n", "\n", " plt.subplot(1,3,2)\n", " plt.imshow(out, cmap=\"twilight\", origin=\"lower\",vmin=-1.0,vmax=1.0)\n", " plt.xticks(np.arange(0,101,50),np.linspace(lx,rx,3),fontsize=12)\n", " plt.yticks(np.arange(0,101,50),np.linspace(ly,ry,3),fontsize=12)\n", " plt.xlabel(r\"$x$\",fontsize=15)\n", " plt.ylabel(r\"$y$\",fontsize=15)\n", " plt.title(\"Prediction\",fontsize=18)\n", " plt.colorbar(fraction=0.046, pad=0.04)\n", "\n", " plt.subplot(1,3,3)\n", " plt.imshow(np.abs(out-u_sol)/np.max(np.abs(u_sol)), cmap=\"nipy_spectral\", origin=\"lower\",vmin=0,vmax=0.2)\n", " plt.xticks(np.arange(0,101,50),np.linspace(lx,rx,3),fontsize=12)\n", " plt.yticks(np.arange(0,101,50),np.linspace(ly,ry,3),fontsize=12)\n", " plt.xlabel(r\"$x$\",fontsize=15)\n", " plt.ylabel(r\"$y$\",fontsize=15)\n", " plt.title(\"Point-wise Error\",fontsize=18)\n", " plt.colorbar(fraction=0.046, pad=0.04)\n", " \n", " plt.gcf().set_size_inches(15,5)\n", " plt.tight_layout()\n", " plt.suptitle(\"Poisson Equation using PINN_{}\".format(methods[method]),fontsize=25)\n", " plt.savefig(\"PoissonEqn_{}_based\".format(methods[method]),dpi=800)\n", " return None" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.17 ('newtorch')", "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": "3.9.17" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "813e009bea45919a754463d31638190cf3c033fdb5fd5c2966a42653051a1217" } } }, "nbformat": 4, "nbformat_minor": 2 }