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• W2105364994 abstract "We establish interior velocity superconvergence estimates for mixed finite element approximations of second order elliptic problems on non-matching rectangular and quadrilateral grids. Both mortar and non-mortar methods for imposing the interface conditions are considered. In both cases it is shown that a discrete L 2 -error in the velocity in a compactly contained subdomain away from the interfaces converges of order O ( h 1 / 2 ) higher than the error in the whole domain. For the non-mortar method we also establish pressure superconvergence, which is needed in the velocity analysis. Numerical results are presented in confirmation of the theory." @default.
• W2105364994 created "2016-06-24" @default.
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• W2105364994 date "2008-09-01" @default.
• W2105364994 modified "2023-09-25" @default.
• W2105364994 title "Interior superconvergence in mortar and non-mortar mixed finite element methods on non-matching grids" @default.
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• W2105364994 doi "https://doi.org/10.1016/j.cma.2008.05.010" @default.
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