Geodesic
A special finite element method based on component mode synthesis
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 3, pp. 401-420

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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
Keywords: 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: Mathematical Modelling and Numerical Analysis },
     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://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 3, pp. 401-420. doi: 10.1051/m2an/2010007

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