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

Details

Serval ID
serval:BIB_DCDEFDB70510
Type
Article: article from journal or magazin.
Collection
Publications
Title
Approximation of multi-scale elliptic problems using patches of finite elements
Journal
Comptes Rendus Mathematique - Academie des Sciences Paris Serie 1
Author(s)
Glowinski R., He J., Rappaz J., Wagner J.
ISSN
0764-4442
Publication state
Published
Issued date
2003
Peer-reviewed
Oui
Volume
337
Number
10
Pages
679-684
Language
english
Abstract
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.
Web of science
Create date
07/07/2014 8:31
Last modification date
20/08/2019 16:01
Usage data