A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach (Q461220)
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scientific article; zbMATH DE number 6353562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach |
scientific article; zbMATH DE number 6353562 |
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A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach (English)
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10 October 2014
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This paper deals with the two-dimensional Stokes equation. The authors construct a mixed finite element method based on the weakly over-penalized symmetric interior penalty approach that satisfies optimal error estimates for both velocity and pressure on meshes that can have hanging nodes and show that this method is inf-sup stable and has optimal convergence rates. Numerical results that illustrate the performance of the method and the performance of a simple parallel solver are presented.
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Stokes problem
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mixed finite element method
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discontinuous finite element method
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weakly over-penalized symmetric interior penalty method
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nonconforming meshes
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adaptive algorithm
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additive Schwarz preconditioners
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parallel computation
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convergence
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numerical result
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