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samuelagenorwoth/README.md

Hi, I'm Samuel 👋

I'm a doctoral researcher in Computational Engineering (Applied Mathematics) at LUT University, Finland. I study inverse problems for waves: recovering what's inside a pipe from how waves travel through it, and quantifying how confident we can be in the result.

🌐 Website: samuelagenorwoth.com

Tools: Python, PyTorch, FEniCS, MATLAB, Fortran, COMSOL

Selected projects

  • Finite elements in 2D, built from scratch: P1 finite elements in NumPy/SciPy on a square and an L-shaped domain, with an error study that shows the effect of the re-entrant corner.
  • Absorbing boundary conditions: 2D wave equation in Python, comparing reflecting walls with Engquist–Majda absorbing boundaries
  • Homogenization in a perforated domain: diffusion in a material full of small holes, with effective coefficients from periodic cell problems and an O(ε) convergence study, in Python with gmsh.
  • 2D Ising model: Monte Carlo simulation in MATLAB, validated against the exact solution of Onsager and Yang

Pinned Loading

  1. ising-model-2d ising-model-2d Public

    Monte Carlo simulation of the 2D Ising model in MATLAB, validated against the exact solution of Onsager and Yang.

    MATLAB

  2. absorbing-boundary-conditions absorbing-boundary-conditions Public

    Absorbing boundary conditions for the 2D wave equation: Engquist–Majda vs reflecting boundaries, in Python

    Python

  3. finite-elements-2d finite-elements-2d Public

    Finite elements in 2D from scratch: P1 assembly in NumPy/SciPy on the unit square and an L-shaped domain, with a convergence study

    Python

  4. homogenization-perforated-domain homogenization-perforated-domain Public

    Homogenization of a diffusion problem in a perforated domain: cell problems, effective coefficients and an O(ε) convergence study, in Python with gmsh

    Python