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MsFEM `a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems |
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| Authors: | , Claude LE BRIS , Frédéric LEGOLL , Alexei LOZINSKI |
| Affiliation: | 1. école Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, 77455, Marne-La-Vallée Cedex 2, France 2. INRIA Rocquencourt, MICMAC project-team, 78153, Le Chesnay Cedex, France 3. Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse Cedex 9, France |
| 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 |
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