Domain decomposition methods - Extended notions

Add to my library

AF1376 V1 Quizzed article

Domain decomposition methods - Extended notions

Authors : Martin J. GANDER, Laurence HALPERN

Publication date: April 10, 2012, Review date: April 26, 2021 | Lire en français

Add to my library Add to my library

Logo Techniques de l'Ingenieur You do not have access to this resource.
Request your free trial access! Free trial

Already subscribed?

Overview

ABSTRACT

Most domain decomposition methods which are currently used in all engineering sectors encounter, due to their decomposition in a large number of sub-domains, problems of insufficiently parallelized resolution problems. Furthermore, raising the iteration number lowers the calculation speed and convergence diminishes. In order to solve these problems and to obtain scalable methods, adding components such as the coarse grid or recoursing to time and space resolutions, notably with the parareal algorithm, can be used to obtain satisfactory solutions even within extremely complex contexts.

Read this article from a comprehensive knowledge base, updated and supplemented with articles reviewed by scientific committees.

Read the article

AUTHORS

  • Martin J. GANDER : Mathematics teacher - Mathematics Section, University of Geneva

  • Laurence HALPERN : Mathematics teacher - Analysis, Geometry and Applications Laboratory, Université Paris 13

 INTRODUCTION

This is the second part of the article Domain decomposition methods. Basic concepts.

You do not have access to this resource.
Logo Techniques de l'Ingenieur

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed?


KEYWORDS

  |     |   Domain Decomposition   |   Schwarz Methods   |   Waveform Relaxation   |   Parareal Algorithm

Ongoing reading
Domain decomposition methods - Extended notions

Article included in this offer

"Mathematics"

( 167 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

Dans les ressources documentaires

Méthodes de décomposition de domaines - Notions de base

Actuellement dans l'industrie automobile, en médecine ou astrophysique, les problèmes complexes de calcul...

Bases fonctionnelles de l'analyse numérique

Il est souvent difficile de se faire une idée de l'intérêt des notions théoriques abordées dans le traité...

Calcul formel

Au-delà d’une première approche et l’exécution de calculs simples, l’utilisation d’un système de calcul f...

Comportement dynamique des systèmes à événements discrets dans l’algèbre des dioïdes

Cet article s’intéresse au comportement dynamique des systèmes à événements discrets, dans une structure ...

Tous les livres blancs
Toutes les actualités
Toutes les conférences en ligne
Contact us