Multiscale algorithm with patches of finite elements

Vittoria Rezzonico, Alexei Lozinski, Marco Picasso, Jacques Rappaz and Joël Wagner

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 181-187

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≪H to capture local behaviour of the solution. We discuss the implementation and illustrate the method on an industrial example.

Keywords: Finite element methods; Successive space correction (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475407001413
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:181-187

DOI: 10.1016/j.matcom.2007.02.003

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().