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Finite element heterogeneous multiscale methods with near optimal computational complexity
Mathematics Department, University of Texas at Austin.
2007 (English)In: Multiscale Modeling & simulation, ISSN 1540-3459, E-ISSN 1540-3467, Vol. 6, no 4, 1059-1084 p.Article in journal (Refereed) Published
Abstract [en]

This paper is concerned with a numerical method for multiscale elliptic problems. Using the framework of the heterogeneous multiscale methods (HMM), we propose a micro-macro approach which combines the finite element method (FEM) for the macroscopic solver and the pseudospectral method for the microsolver. Unlike the micro-macromethods based on the standard FEM proposed so far, in the HMM we obtain, for periodic homogenization problems, a method that (slow) variable.

Place, publisher, year, edition, pages
2007. Vol. 6, no 4, 1059-1084 p.
Keyword [en]
Elliptic homogenization, Heterogeneous finite element method, Multiscale method, Spectral method
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-74467DOI: 10.1137/060676118ISI: 000255499900001OAI: oai:DiVA.org:kth-74467DiVA: diva2:489675
Note
QC 20120207Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2017-12-08Bibliographically approved

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