Convergence and optimal complexity of adaptive finite element eigenvalue computations (Q958154)
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scientific article; zbMATH DE number 5377097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence and optimal complexity of adaptive finite element eigenvalue computations |
scientific article; zbMATH DE number 5377097 |
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Convergence and optimal complexity of adaptive finite element eigenvalue computations (English)
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2 December 2008
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The paper deals with an adaptive finite element method for elliptic eigenvalue problems. The authors establish a relationship between the elliptic eigenvalue approximation and the associated boundary value approximation in order to establish a posteriori error estimators for the finite element eigenvalue solutions. After the adaptive algorithm for the finite element eigenvalues is designed, the convergence and optimal complexity of the adaptive finite element eigenvalue computation are proved. Several numerical experiments, supporting the theory, are presented.
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elliptic boundary value problem
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adaptive finite element method
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elliptic eigenvalue problems
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a posteriori error estimators
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algorithm
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convergence
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optimal complexity
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numerical experiments
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