Inproceedings,

The Localized Reduced Basis Multiscale Method

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Algoritmy 2012 : 19th Conference on Scientific Computing, page 393-403. Slovak University of Technology in Bratislava, Publishing House of STU, (2012)

Abstract

In this paper we introduce the Localized Reduced Basis Multiscale (LRBMS) method for parameter dependent heterogeneous elliptic multiscale problems. The LRBMS method brings together ideas from both Reduced Basis methods to efficiently solve parametrized problems and from multiscale methods in order to deal with complex heterogeneities and large domains. Experiments on 2D and real world 3D data demonstrate the performance of the approach.

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