Approximation of multi-scale elliptic problems using patches of finite elements

Détails

ID Serval
serval:BIB_DCDEFDB70510
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
Approximation of multi-scale elliptic problems using patches of finite elements
Périodique
Comptes Rendus Mathematique - Academie des Sciences Paris Serie 1
Auteur⸱e⸱s
Glowinski R., He J., Rappaz J., Wagner J.
ISSN
0764-4442
Statut éditorial
Publié
Date de publication
2003
Peer-reviewed
Oui
Volume
337
Numéro
10
Pages
679-684
Langue
anglais
Résumé
In this paper we present a method to solve numerically elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discretizations are not necessarily conforming. It resembles the FAC method (see Math. Comp. 46 (174) (1986) 439-456) and its convergence is obtained by a domain decomposition technique (see Math. Comp. 57 (195) (1991) 1-21). However it is of much more flexible use in comparison to the latter.
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Création de la notice
07/07/2014 9:31
Dernière modification de la notice
20/08/2019 17:01
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