pyFEMSolver 0.0.1

The finite element method to solve differential equations

finite-element

This repository implements the Finite Element Method (FEM) to numerically approximate solutions to certain elliptic Partial Differential Equations, following the methodology defined in Professor Iain Smears' course, MATH0092: Variational Methods for Partial Differential Equations.

To familiarise yourself with how to method works and the core ideas on how it has been implemented, please refer to Finite_Element_Method_Tutorial.ipynb

To use the application, please use script.py and adjust the parameters according to your equation and boundary conditions.

Note: The current implementation handles the one-dimensional case (Ordinary Differential Equations) and supports Dirichlet, Robin, and mixed boundary conditions. The basis functions are implemented up to piecewise quadratic functions (P2).