UE Variational methods applied to modelling

Degrees incorporating this pedagocial element :

Description

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).

Prerequisites

MSIAM first semester

Targeted skills

Modelling of PDE and numerical resolution.

Finite element algorithm

Implementation using FreeFEM++

Knowledge assessment methods

Session 1 or single session - Knowledge testing

Type of teaching providedMethodTypeDuration (min)Coefficient
Teaching Unit (UE)CC Practical33/100
Teaching Unit (UE)CT Written - supervised work12067/100

Session 2 - Knowledge testing

Type of teaching providedMethodTypeDuration (min)Coefficient
Teaching Unit (UE)CC Calculation report33/100
Teaching Unit (UE)CT Written or Oral67/100