Videos: summary and additional material

The story of the derivation of the finite element method is told once more in this section with a series of videos.

Derivation of the finite element formulation in 1D

Recap of the derivation of the finite element formulation for the 1D Poisson equation.

Elements and shape functions

Recap of the role of elements and shape functions in the finite element method.

2D derivation and boundary conditions

Derivation of the finite element method for the 2D Poisson equation. In the Friday project you will work with a 2D finite element implementation.

Numerical integration

In the notebooks of this week, numerical integration is implemented in a rather direct way. This video presents a more general discussion of numerical integration for different elements.

Isoparametric mapping

To complete the story of how shape functions and numerical integration are usually implemented in notebooks, here is a video with additional material on isoparametric mapping.