Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem (Q2903009)
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scientific article; zbMATH DE number 6070594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem |
scientific article; zbMATH DE number 6070594 |
Statements
23 August 2012
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error analysis
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Galerkin boundary element method
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Dirichlet Laplacian eigenvalue problem
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holomorphic Fredholm operator-valued functions
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convergence
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stability
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numerical experiments
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Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem (English)
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The authors provide a fairly rigorous analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem. They use the concept of eigenvalue problems for holomorphic Fredholm operator-valued functions. The convergence of the method as well as a stability result are established. Some numerical experiments are carried out in order to underline the theoretical results.
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