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UE Introduction to numerical field computation

Diplômes intégrant cet élément pédagogique :

Descriptif

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.

Syllabus

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.

Pré-requis recommandés

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.

Compétences visées

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.

Informations complémentaires

Langue(s) : Anglais