First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods (Q985696)
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scientific article; zbMATH DE number 5764625
| Language | Label | Description | Also known as |
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| English | First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods |
scientific article; zbMATH DE number 5764625 |
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First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods (English)
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6 August 2010
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The authors show first order convergence of a multi-point flux approximation (MPFA) control volume method on an unstructured triangular grid. A perturbed mixed finite element method with broken Raviart-Thomas elements and a specific quadrature rule is introduced and the equivalence of the MPFA method with a hybrid variant of the mixed method is proved. The theoretical error estimates are verified by numerical convergence studies. The accuracy of the MPFA approximation is carefully compared with that of a lowest order Raviart-Thomas and Brezzi-Douglas-Marini approach.
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multi-point flux approximation control volume methods
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finite element
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convergence
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comparison of methods
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numerical examples
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triangular grid
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Raviart-Thomas elements
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error estimates
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0.89617175
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