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» Reduced Basis Multiscale Finite Element Methods for Elliptic...
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MMAS
2015
Springer
4 years 7 months ago
Reduced Basis Multiscale Finite Element Methods for Elliptic Problems
In this paper, we propose reduced basis multiscale finite element methods (RB-MsFEM) for elliptic problems with highly oscillating coefficients. The method is based on multiscale ...
Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
MMAS
2010
Springer
9 years 6 months ago
A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data
We propose a method for efficient solution of elliptic problems with multiscale features and randomly perturbed coefficients. We use the multiscale finite element method (MsFEM) as...
Victor Ginting, Axel Målqvist, Michael Presh...
SIAMNUM
2010
141views more  SIAMNUM 2010»
9 years 6 months ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
COMPUTING
2008
174views more  COMPUTING 2008»
9 years 11 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
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