| Issue |
ESAIM: M2AN
Volume 44, Number 3, May-June 2010
|
|
|---|---|---|
| Page(s) | 401 - 420 | |
| DOI | https://doi.org/10.1051/m2an/2010007 | |
| Published online | 04 February 2010 | |
A special finite element method based on component mode synthesis
1
Department of Applied Maths, University of Washington, Box 352420,
Seattle, WA 98195-2420, USA. hetmaniu@u.washington.edu
2
Sandia National Laboratories, P.O. Box 5800,
MS 1320, Albuquerque, NM 87185-1320, USA. rblehou@sandia.gov
Received:
2
December
2008
Revised:
11
September
2009
The goal of our paper is to introduce basis functions for the finite element discretization of a second order linear elliptic operator with rough or highly oscillating coefficients. The proposed basis functions are inspired by the classic idea of component mode synthesis and exploit an orthogonal decomposition of the trial subspace to minimize the energy. Numerical experiments illustrate the effectiveness of the proposed basis functions.
Mathematics Subject Classification: 35J20 / 65F15 / 65N25 / 65N30 / 65N55
Key words: Eigenvalues / modal analysis / multilevel / substructuring / domain decomposition / dimensional reduction / finite elements
© EDP Sciences, SMAI, 2010
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