UE Variational methods applied to modelling complementary

Diplômes intégrant cet élément pédagogique :

Descriptif

The aim of this course is to get deep knowledge of PDE modelling and their numerical resolution, in particular using variational methods such as the Finite Elements method.

Contents:

Introduction to modelling with examples.
Boundary pb in 1D, variational formulation, Sobolev spaces.
Stationary pb, elliptic equations.
Finite element method: algorithm, errors...
Evolution models, parabolic equations, splitting methods
Extensions and applications, FreeFEM++


This is a two-part course. This course is the MSIAM only part (in-depth and applications).

Pré-requis

MSIAM first semester, Finite Element method 1

Compétences visées

Modelling of PDE and numerical resolution.

Finite element algorithm

Implementation using FreeFEM++

Modalités de contrôle des connaissances

Session 2 - Contrôle de connaissances

NatureTypeNature d'évaluationDurée (min)Coeff.
UECT Ecrit ou Oral100/100

Informations complémentaires

Langue(s) : Français