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Solving 2D Poisson's eqn using PINNs

Project 3 of FYS-STK4155 (Anvendt dataanalyse og maskinlæring) course at UiO 2023/2024

  • model.py: A python script containing the base class for all neural network-based models used in this report.
  • plot_utilities.py: A convenience python script containing functions used for plotting.
  • results_lagaris_ex5.ipynb: A Jupyter notebook demonstrating the solution of Poisson problem (eq. 15) using Lagaris, Likas, and Fotiadis (1998) method as described in section 2.2. Produces Figures 1 and C.1.
  • results_iterative.ipynb: A Jupyter notebook demonstrating the solution of Poisson problem (eq. 20) using Jacobi and Gauss-Seidel iteration methods, as described in sections 2.1 and 3.1. Produces Figures 2 and 3 and Table D.0.
  • results_lagaris.ipynb: A Jupyter notebook demonstrating the solution of Poisson problem (eq. 20) using Lagaris, Likas, and Fotiadis (1998) method, as described in sections 2.2 and 3.2. Produces Figures 4, 5, 6 and C.2.

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