An optimally convergent adaptive mixed finite element method (Q957935)
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scientific article; zbMATH DE number 5376038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimally convergent adaptive mixed finite element method |
scientific article; zbMATH DE number 5376038 |
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An optimally convergent adaptive mixed finite element method (English)
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1 December 2008
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The authors consider a new adaptive finite element algorithm with local refinement by standard bisection. The algorithm is based on an adaptive marking strategy which is based on a comparison of an oscillation term with a simple estimator. The convergence and the optimal complexity is proven. The algorithm is based on the lowest-order Raviart-Thomas finite element space. The inexact solution of the discrete system is controlled by an adaptive stopping criterion related to the estimator.
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local refinement
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convergence
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optimal complexity
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oscillation term
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error estimates
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adaptive finite element algorithm
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adaptive stopping criterion
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