UE Introduction to numerical field computation

This course is an introductory course on numerical field computation using the finite difference and the finite element methods.

Content:

• Finite difference method.
• Finite element method:
  • Strong and weak formulations.
  • Finite element analysis : domain discretization, local and global interpolation, numerical integration, assembly, resolution of linear system, etc.

Familiarity with the following content of the course "Numerical Methods" :

• Approximation and interpolation.
• Numerical integration.
• Numerical linear algebra:
  • Fast linear solvers (direct and iterative).
  • Fast eigen-solvers.

1. Meunier, G. (2010). The finite element method for electromagnetic modeling, John Wiley & Sons.

2. Jin, J. M. (2015). The finite element method in electromagnetics, John Wiley & Sons.

At the end of the course, the student should be able to:

• Generate and discretize simple 2D geometries.
• Generate and run a finite difference code, and analyze its results for a simple 2D elliptic equation.
• Generate and run a simple finite element code, and analyze results for a simple 2D elliptic equation.