{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: Applying Periodic Boundary Conditions in PINNs to solve the Helmholtz Problem\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/mathLab/PINA/blob/master/tutorials/tutorial9/tutorial.ipynb)\n", "\n", "This tutorial demonstrates how to solve a one-dimensional Helmholtz equation with periodic boundary conditions (PBC) using Physics-Informed Neural Networks (PINNs). \n", "We will use standard PINN training, augmented with a periodic input expansion as introduced in [*An Expert’s Guide to Training Physics-Informed Neural Networks*](https://arxiv.org/abs/2308.08468).\n", "\n", "Let's start with some useful imports:\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "## routine needed to run the notebook on Google Colab\n", "try:\n", " import google.colab\n", "\n", " IN_COLAB = True\n", "except:\n", " IN_COLAB = False\n", "if IN_COLAB:\n", " !pip install \"pina-mathlab[tutorial]\"\n", "\n", "import torch\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "\n", "from pina import Condition, Trainer\n", "from pina.problem import SpatialProblem\n", "from pina.model import FeedForward\n", "from pina.model.block import PeriodicBoundaryEmbedding # The PBC module\n", "from pina.solver import PINN\n", "from pina.domain import CartesianDomain\n", "from pina.equation import Helmholtz\n", "from pina.callback import MetricTracker\n", "\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem Definition\n", "\n", "The one-dimensional Helmholtz problem is mathematically expressed as:\n", "\n", "$$\n", "\\begin{cases}\n", "\\frac{d^2}{dx^2}u(x) - \\lambda u(x) - f(x) &= 0 \\quad \\text{for } x \\in (0, 2) \\\\\n", "u^{(m)}(x = 0) - u^{(m)}(x = 2) &= 0 \\quad \\text{for } m \\in \\{0, 1, \\dots\\}\n", "\\end{cases}\n", "$$\n", "\n", "In this case, we seek a solution that is $C^{\\infty}$ (infinitely differentiable) and periodic with period 2, over the infinite domain $x \\in (-\\infty, \\infty)$. \n", "\n", "A classical PINN approach would require enforcing periodic boundary conditions (PBC) for all derivatives—an infinite set of constraints—which is clearly infeasible.\n", "\n", "To address this, we adopt a strategy known as *coordinate augmentation*. In this approach, we apply a coordinate transformation $v(x)$ such that the transformed inputs naturally satisfy the periodicity condition:\n", "\n", "$$\n", "u^{(m)}(x = 0) - u^{(m)}(x = 2) = 0 \\quad \\text{for } m \\in \\{0, 1, \\dots\\}\n", "$$\n", "\n", "For demonstration purposes, we choose the specific parameters:\n", "\n", "- $\\lambda = -10\\pi^2$\n", "- $f(x) = -6\\pi^2 \\sin(3\\pi x) \\cos(\\pi x)$\n", "\n", "These yield an analytical solution:\n", "\n", "$$\n", "u(x) = \\sin(\\pi x) \\cos(3\\pi x)\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def forcing_term(x):\n", " pi = torch.pi\n", " return -6.0 * pi**2 * torch.sin(3 * pi * x) * torch.cos(pi * x)\n", "\n", "\n", "helmholtz_equation = Helmholtz(k=10 * torch.pi**2, forcing_term=forcing_term)\n", "\n", "\n", "class Helmholtz(SpatialProblem):\n", " output_variables = [\"u\"]\n", " spatial_domain = CartesianDomain({\"x\": [0, 2]})\n", "\n", " # here we write the problem conditions\n", " conditions = {\n", " \"phys_cond\": Condition(\n", " domain=spatial_domain, equation=helmholtz_equation\n", " ),\n", " }\n", "\n", " def solution(self, pts):\n", " return torch.sin(torch.pi * pts) * torch.cos(3.0 * torch.pi * pts)\n", "\n", "\n", "problem = Helmholtz()\n", "\n", "# let's discretise the domain\n", "problem.discretise_domain(200, \"grid\", domains=[\"phys_cond\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As usual, the Helmholtz problem is implemented in **PINA** as a class. The governing equations are defined as `conditions`, which must be satisfied within their respective domains. The `solution` represents the exact analytical solution, which will be used to evaluate the accuracy of the predicted solution.\n", "\n", "For selecting collocation points, we use Latin Hypercube Sampling (LHS), a common strategy for efficient space-filling in high-dimensional domains \n", "\n", "## Solving the Problem with a Periodic Network\n", "\n", "Any $\\mathcal{C}^{\\infty}$ periodic function $u : \\mathbb{R} \\rightarrow \\mathbb{R}$ with period $L \\in \\mathbb{N}$ \n", "can be constructed by composing an arbitrary smooth function $f : \\mathbb{R}^n \\rightarrow \\mathbb{R}$ with a smooth, periodic mapping$v : \\mathbb{R} \\rightarrow \\mathbb{R}^n$ of the same period $L$. That is,\n", "\n", "$$\n", "u(x) = f(v(x)).\n", "$$\n", "\n", "This formulation is general and can be extended to arbitrary dimensions. \n", "For more details, see [*A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks*](https://arxiv.org/pdf/2007.07442).\n", "\n", "In our specific case, we define the periodic embedding as:\n", "\n", "$$\n", "v(x) = \\left[1, \\cos\\left(\\frac{2\\pi}{L} x\\right), \\sin\\left(\\frac{2\\pi}{L} x\\right)\\right],\n", "$$\n", "\n", "which constitutes the coordinate augmentation. The function $f(\\cdot)$ is approximated by a neural network $NN_{\\theta}(\\cdot)$, resulting in the approximate PINN solution:\n", "\n", "$$\n", "u(x) \\approx u_{\\theta}(x) = NN_{\\theta}(v(x)).\n", "$$\n", "\n", "In **PINA**, this is implemented using the `PeriodicBoundaryEmbedding` layer for $v(x)$, \n", "paired with any `pina.model` to define the neural network $NN_{\\theta}$. \n", "\n", "Let’s see how this is put into practice!\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# we encapsulate all modules in a torch.nn.Sequential container\n", "model = torch.nn.Sequential(\n", " PeriodicBoundaryEmbedding(input_dimension=1, periods=2),\n", " FeedForward(\n", " input_dimensions=3, # output of PeriodicBoundaryEmbedding = 3 * input_dimension\n", " output_dimensions=1,\n", " layers=[64, 64],\n", " ),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As simple as that!\n", "\n", "In higher dimensions, you can specify different periods for each coordinate using a dictionary. \n", "For example, `periods = {'x': 2, 'y': 3, ...}` indicates a periodicity of 2 in the $x$ direction, \n", "3 in the $y$ direction, and so on.\n", "\n", "We will now solve the problem using the usual `PINN` and `Trainer` classes. After training, we'll examine the losses using the `MetricTracker` callback from `pina.callback`." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "solver = PINN(problem=problem, model=model)\n", "trainer = Trainer(\n", " solver,\n", " max_epochs=2000,\n", " accelerator=\"cpu\",\n", " enable_model_summary=False,\n", " callbacks=[MetricTracker()],\n", ")\n", "trainer.train()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot loss\n", "trainer_metrics = trainer.callbacks[0].metrics\n", "plt.plot(\n", " range(len(trainer_metrics[\"train_loss\"])), trainer_metrics[\"train_loss\"]\n", ")\n", "# plotting\n", "plt.xlabel(\"epoch\")\n", "plt.ylabel(\"loss\")\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to plot the solution now!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pts = solver.problem.spatial_domain.sample(256, \"grid\", variables=\"x\")\n", "predicted_output = solver(pts).extract(\"u\").tensor.detach()\n", "true_output = solver.problem.solution(pts)\n", "plt.plot(pts.extract([\"x\"]), predicted_output, label=\"Neural Network solution\")\n", "plt.plot(pts.extract([\"x\"]), true_output, label=\"True solution\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great, they overlap perfectly! This seems a good result, considering the simple neural network used to some this (complex) problem. We will now test the neural network on the domain $[-4, 4]$ without retraining. In principle the periodicity should be present since the $v$ function ensures the periodicity in $(-\\infty, \\infty)$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting solution\n", "with torch.no_grad():\n", " # Notice here we put [-4, 4]!!!\n", " new_domain = CartesianDomain({\"x\": [0, 4]})\n", " x = new_domain.sample(1000, mode=\"grid\")\n", " fig, axes = plt.subplots(1, 3, figsize=(15, 5))\n", " # Plot 1\n", " axes[0].plot(x, problem.solution(x), label=r\"$u(x)$\", color=\"blue\")\n", " axes[0].set_title(r\"True solution $u(x)$\")\n", " axes[0].legend(loc=\"upper right\")\n", " # Plot 2\n", " axes[1].plot(x, solver(x), label=r\"$u_{\\theta}(x)$\", color=\"green\")\n", " axes[1].set_title(r\"PINN solution $u_{\\theta}(x)$\")\n", " axes[1].legend(loc=\"upper right\")\n", " # Plot 3\n", " diff = torch.abs(problem.solution(x) - solver(x))\n", " axes[2].plot(x, diff, label=r\"$|u(x) - u_{\\theta}(x)|$\", color=\"red\")\n", " axes[2].set_title(r\"Absolute difference $|u(x) - u_{\\theta}(x)|$\")\n", " axes[2].legend(loc=\"upper right\")\n", " # Adjust layout\n", " plt.tight_layout()\n", " # Show the plots\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's clear that the network successfully captures the periodicity of the solution, with the error also exhibiting a periodic pattern. Naturally, training for a longer duration or using a more expressive neural network could further improve the results.\n", "## What's next?\n", "\n", "Congratulations on completing the one-dimensional Helmholtz tutorial with **PINA**! Here are a few directions you can explore next:\n", "\n", "1. **Train longer or with different architectures**: Experiment with extended training or modify the network's depth and width to evaluate improvements in accuracy.\n", "\n", "2. **Apply `PeriodicBoundaryEmbedding` to time-dependent problems**: Explore more complex scenarios such as spatiotemporal PDEs (see the official documentation for examples).\n", "\n", "3. **Try extra feature training**: Integrate additional physical or domain-specific features to guide the learning process more effectively.\n", "\n", "4. **...and many more!**: Extend to higher dimensions, test on other PDEs, or even develop custom embeddings tailored to your problem.\n", "\n", "For more resources and tutorials, check out the [PINA Documentation](https://mathlab.github.io/PINA/)." ] } ], "metadata": { "kernelspec": { "display_name": "deep", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 2 }