UE Variational methods applied to modelling

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 Ensimag part (basics).

Pré-requis

MSIAM first semester

Compétences visées

Modelling of PDE and numerical resolution.

Finite element algorithm

Implementation using FreeFEM++

Modalités de contrôle des connaissances

Session 1 ou session unique - Contrôle de connaissances

NatureTypeNature d'évaluationDurée (min)Coeff.
UECC Pratique33/100
UECT Ecrit - devoir surveillé12067/100

Session 2 - Contrôle de connaissances

NatureTypeNature d'évaluationDurée (min)Coeff.
UECC Report de notes33/100
UECT Ecrit ou Oral67/100

Informations complémentaires

Langue(s) : Anglais