Higher-order finite element methods for elliptic problems with interfaces (Q2830708)
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scientific article; zbMATH DE number 6645501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher-order finite element methods for elliptic problems with interfaces |
scientific article; zbMATH DE number 6645501 |
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Higher-order finite element methods for elliptic problems with interfaces (English)
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28 October 2016
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elliptic problems with interfaces
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finite element methods
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higher-order
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pointwise estimates
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error estimate
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quasi-uniform and shape regular meshes
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Stokes interface problem
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convergence
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The authors present and analyze a new method to get higher-order piecewise continuous finite element methods for solving a class of interface problems in two dimensions. The method is based on correction terms added to the right-hand side in the standard variational formulation of the problem. Optimal error estimates of the methods on general quasi-uniform and shape regular meshes in maximum norms are proved. The stated method is applied to a Stokes interface problem. By adding correction terms for the velocity and the pressure, optimal convergence results are obtained.
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