Finite Element Methods with patches and Applications
Journal
Lecture Notes in Computational Science and Engineering
ISBN
978-3-540-34468-1
Type
conference paper
Date Issued
2005-01-13
Author(s)
Glowinski, Roland
;
He, Jiwen
;
Lozinski, Alexei
;
Picasso, Marco
;
Rappaz, Jacques
;
Rezzonico, Vittoria
;
Editor(s)
Widl, Olof B.
Keyes, David E.
Abstract
We present a new method [7] for numerically solving elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. We use a relaxation method that consists of calculating successive corrections to the solution in patches of finite elements. We analyse the spectral properties of the iteration operator [6]. We show how to evaluate the best relaxation parameter and what is the influence of patches size on the convergence of the method. Several numerical results in 2D and 3D are presented.
Language
English
HSG Classification
contribution to scientific community
Refereed
Yes
Book title
Domain Decomposition Methods in Science and Engineering XVI
Publisher
Springer
Volume
Volume 55
Start page
77
End page
89
Event Title
16th International Conference on Domain Decomposition Methods (DD16)
Event Location
New York
Event Date
12.-15.01.2005
Subject(s)
Division(s)
Eprints ID
71503