FiniteElement

These are a collection of some of small projects related to the finite element method. You can find notes, animations, and source codes.

Directories

"UofMichigan FEM Course"

• 185+ pages of course notes
• Course completion certificate
• Solutions to linear elliptic, parabolic, hyperbolic PDEs for scalar and vector unknowns, in one to three dimensions.

"FEniCS Demo"

• Working through official FEniCS demos
• Source code + animations

"FEniCS Tutorial"

• Working through a tutorial from 2016
• Source code + animations

"Wave Equation"

• Solving the wave equation in 2D over a slightly more complicated domain
• Source code + animations
• Time discretization using the Newmark family of algorithms. There is something wrong, but I can't figure out what it might be.

"Capacitor"

• Solving a textbook question using FEM
• Capacitors are modelled as 2D surface charge distributions
• Visualize the fringing fields

"Helmholtz coils"

• Under development