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Title: A new finite element approach for problems containing small geometric details (English)
Author: Hackbusch, W.
Author: Sauter, S.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 34
Issue: 1
Year: 1998
Pages: 105-117
Summary lang: English
Category: math
Summary: In this paper a new finite element approach is presented which allows the discretization of PDEs on domains containing small micro-structures with extremely few degrees of freedom. The applications of these so-called Composite Finite Elements are two-fold. They allow the efficient use of multi-grid methods to problems on complicated domains where, otherwise, it is not possible to obtain very coarse discretizations with standard finite elements. Furthermore, they provide a tool for discrete homogenization of PDEs without requiring periodicity of the data. (English)
Keyword: Finite Elements
Keyword: Shortley-Weller discretization
Keyword: complicated boundary
MSC: 65N15
MSC: 65N30
MSC: 65N50
MSC: 65Y20
MSC: 74A60
MSC: 74M25
MSC: 74S05
idZBL: Zbl 0912.65088
idMR: MR1629676
Date available: 2009-02-17T10:10:36Z
Last updated: 2012-05-10
Stable URL:
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