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ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A special finite element method basedon component mode synthesis
Ulrich L. Hetmaniuk, Richard B. Lehoucq
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 44 / Issue 3 / May 2010

Published online by Cambridge University Press:

04 February 2010, pp. 401-420

Print publication:

May 2010
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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 componentmode synthesis and exploit an orthogonal decompositionof the trial subspace to minimize the energy. Numerical experiments illustrate the effectiveness of the proposed basis functions.