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| MsFEM `a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems |
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Citation： |
Claude LE BRIS,Fr´ed´eric LEGOLL,Alexei LOZINSKI.MsFEM `a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems[J].Chinese Annals of Mathematics B,2013,34(1):113~138 |
| Page view： 2312
Net amount： 1912 |
Authors： |
Claude LE BRIS; Fr′ed′eric LEGOLL; Alexei LOZINSKI; |
Foundation： |
ONR under Grant (No. N00014-12-1-0383) and EOARD under Grant (No. FA8655-10-C-4002). |
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| Abstract： |
We introduce and analyze a multiscale finite element type method (MsFEM) in the vein of the classical Crouzeix-Raviart finite element method that is specifically adapted for highly oscillatory elliptic problems. We illustrate numerically the efficiency of the approach and compare it with several variants of MsFEM. |
Keywords： |
Homogenization, Finite elements, Galerkin methods, Highly oscillatory PDE |
Classification： |
35B27, 65M60, 65M12 |
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