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A special finite element method basedon component mode synthesis

Published online by Cambridge University Press:  04 February 2010

Ulrich L. Hetmaniuk  and
Richard B. Lehoucq
Ulrich L. Hetmaniuk
Affiliation:
Department of Applied Maths, University of Washington, Box 352420, Seattle, WA 98195-2420, USA. hetmaniu@u.washington.edu
Richard B. Lehoucq
Affiliation:
Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185-1320, USA. rblehou@sandia.gov
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Abstract

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 componentmode synthesis and exploit an orthogonal decompositionof the trial subspace to minimize the energy. Numerical experiments illustrate the effectiveness of the proposed basis functions.

Keywords

Eigenvaluesmodal analysismultilevelsubstructuringdomaindecompositiondimensional reductionfinite elements
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 3 , May 2010 , pp. 401 - 420
Copyright
© EDP Sciences, SMAI, 2010

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