A special finite element method based on component mode synthesis
ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 3, pp. 401-420.

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.

DOI : 10.1051/m2an/2010007
Classification : 35J20, 65F15, 65N25, 65N30, 65N55
Mots-clés : eigenvalues, modal analysis, multilevel, substructuring, domain decomposition, dimensional reduction, finite elements 
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     author = {Hetmaniuk, Ulrich L. and Lehoucq, Richard B.},
     title = {A special finite element method based on component mode synthesis},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {401--420},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {3},
     year = {2010},
     doi = {10.1051/m2an/2010007},
     mrnumber = {2666649},
     zbl = {1190.65173},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/m2an/2010007/}
}
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Hetmaniuk, Ulrich L.; Lehoucq, Richard B. A special finite element method based on component mode synthesis. ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 3, pp. 401-420. doi : 10.1051/m2an/2010007. http://www.numdam.org/articles/10.1051/m2an/2010007/

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