Fiches de cours 2016-2017

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Introduction to the finite elements method

MATH-350

Enseignant(s) :

Quarteroni Alfio

Langue:

English

Summary

Introduction to the finite element method for the numerical solution of differential problems in one or several dimensions. Mathematical aspects, numerical algorithms, application to diffusion, transport and reaction problems of physical relevance

Content

- Examples of elliptic, parabolic and hyperbolic problems
- Weak formulation
- Finite element approximation
- Stability and convergence analysis for elliptic problems
- Discretization by finite differences in time and finite elements in space of time-dependent problems
- Temporal stability analysis

- Finite element coding by MATLAB

Keywords

finite element method

stability, convergence, error estimates

solution of large dimensional systems

application to physics and engineering

Learning Prerequisites

Required courses

Analyse I et II

Analyse Numerique

 

 

 

Recommended courses

Cours prérequis indicatifs

 

Programmation

Analyse III

 

 

Important concepts to start the course

 

differential equations

linear systems

 

 

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex cathedra lecture and exercises in classroom

Expected student activities

Presence and participation to class

To solve the exercises

To solve physical problems on a computer

Assessment methods

written exam

 

Supervision

Office hours Yes
Assistants Yes

Resources

Ressources en bibliothèque
Moodle Link

Prerequisite for

Approximation numerique des équations aux dérivées partielles

(Numericalapproximation of partial differential equations)

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand