Multiscale algorithm with patches of finite elements
Journal
Mathematics and Computers in Simulation
ISSN
0378-4754
ISSN-Digital
1872-7166
Type
journal article
Date Issued
2007-10-12
Author(s)
Abstract
We develop a discretization and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localized regions. We start with a coarse finite element discretization with a mesh size H, and we superpose to it local patches of finite elements with finer mesh size h much less-than H to capture local behaviour of the solution. We discuss the implementation and illustrate the method on an industrial example.
Language
English
Keywords
Finite element methods
Successive space correction
HSG Classification
contribution to scientific community
Refereed
Yes
Publisher
Elsevier
Publisher place
Amsterdam
Volume
76
Number
1-3
Start page
181
End page
187
Pages
7
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
71495