Finite Element Method

This repository collects coursework and practice code for finite element methods in Julia and MATLAB. It includes small solver implementations, assignment notebooks, and a slide deck on convection-diffusion and SUPG stabilization.

Contents

• fem1d.jl, fem2d.jl, ocfem.jl: Julia examples for 1D and 2D FEM problems.
• assign1_ims22090_*.jl, assign2_ims22090_1.ipynb, assign6_ims22090.ipynb: assignment solutions and notebooks.
• matlab/: MATLAB implementations and practice scripts.
• fem_project/fem-slides/: Beamer slides for a FEM presentation.

Requirements

• Julia for the .jl scripts and notebooks.
• MATLAB for the files under matlab/.
• A LaTeX distribution if you want to build the slides in fem_project/fem-slides/.

Usage

Run the Julia scripts directly with julia <file>.jl. Open the notebooks in Jupyter or VS Code. The MATLAB files can be run from MATLAB, and the slide deck can be compiled from fem_project/fem-slides/main.tex.

Notes

The code is organized as course work and example implementations, so individual files may use different problem setups and dependencies.