Approximation of multi-scale elliptic problems using patches of finite elements
Journal
Comptes Rendus Mathematique
ISSN
1631-073X
ISSN-Digital
1778-3569
Type
journal article
Date Issued
2003-11-15
Author(s)
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.
Language
English
HSG Classification
contribution to scientific community
Refereed
Yes
Publisher
Elsevier
Publisher place
Paris
Volume
337
Number
10
Start page
679
End page
684
Pages
6
Subject(s)
Division(s)
Additional Information
Prof. Wagner is Professor at the HEC Lausanne; http://people.unil.ch/joelwagner; joel.wagner@unil.ch
Eprints ID
71502