Finite element approximation of multi-scale elliptic problems using patches of elements

Détails

ID Serval
serval:BIB_DBEE229A5006
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
Finite element approximation of multi-scale elliptic problems using patches of elements
Périodique
Numerische Mathematik
Auteur⸱e⸱s
Glowinski R., He J., Lozinski A., Rappaz J., Wagner J.
ISSN
0029-599X
Statut éditorial
Publié
Date de publication
2005
Peer-reviewed
Oui
Volume
101
Numéro
4
Pages
663-687
Langue
anglais
Résumé
In this paper we present a method for the numerical solution of 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. This paper provides proofs of the results published earlier (see C. R. Acad. Sci. Paris, Ser. I 337 (2003) 679-684), gives a generalization of the latter to more than two domains and contains extensive numerical illustrations. New results including the spectral analysis of the iteration operator and a numerical method to evaluate the constant of the strengthened Cauchy-Buniakowski-Schwarz inequality are presented.In this paper we present a method for the numerical solution of 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. This paper provides proofs of the results published earlier (see C. R. Acad. Sci. Paris, Ser. I 337 (2003) 679-684), gives a generalization of the latter to more than two domains and contains extensive numerical illustrations. New results including the spectral analysis of the iteration operator and a numerical method to evaluate the constant of the strengthened Cauchy-Buniakowski-Schwarz inequality are presented.
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Création de la notice
07/07/2014 8:37
Dernière modification de la notice
20/08/2019 16:00
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