Superconvergence of new mixed finite element spaces (Q548330)
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scientific article; zbMATH DE number 5914090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superconvergence of new mixed finite element spaces |
scientific article; zbMATH DE number 5914090 |
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Superconvergence of new mixed finite element spaces (English)
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28 June 2011
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The authors use the mixed finite element method to study Darcy flow in a porous medium. Utilizing a new family of mixed finite element spaces of higher order on quadrilateral grids, the authors prove the superconvergence for velocity. A post-processing technique is used to improve the suboptimal convergence of a scalar variable (pressure). Superconvergence is also obtained for scalar variables in the case of a rectangular element.
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optimal convergence order
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post-processing
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Darcy flow
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