Finite element approximation of multi-scale elliptic problems using patches of elements
Journal
Numerische Mathematik
ISSN
0029-599X
ISSN-Digital
0945-3245
Type
journal article
Date Issued
2005-07-18
Author(s)
Abstract
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.
Language
English
HSG Classification
contribution to scientific community
Refereed
Yes
Publisher
Springer
Publisher place
Berlin
Volume
101
Number
4
Start page
663
End page
687
Pages
25
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
71498