Numerical zoom for advection diffusion problems with localized multiscales |
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| Authors: | Alexei Lozinski Olivier Pironneau |
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| Institution: | 1. Institut de Mathématiques de Toulouse, Université Paul Sabatier, France;2. Laboratoire Jacques‐Louis Lions, Université Pierre et Marie Curie, France |
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| Abstract: | We investigate the Schwarz'domain decomposition algorithm for numerical zooms. Error estimates are given for nonmatching meshes for elliptic and parabolic partial differential equations. The method is applied to the security assessment of the burial of nuclear waste which is a typical multiscale problem for porous media flow. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
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| Keywords: | domain decomposition finite elements multiscale numerical zoom porous media flow |
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