Computation of a few smallest eigenvalues of elliptic operators using fast elliptic solvers (Q2748539)
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scientific article; zbMATH DE number 1660412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of a few smallest eigenvalues of elliptic operators using fast elliptic solvers |
scientific article; zbMATH DE number 1660412 |
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Computation of a few smallest eigenvalues of elliptic operators using fast elliptic solvers (English)
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14 July 2002
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matrix eigenvalue problems
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Lanczos method
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inverted eigenvalue problem
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convergence
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numerical examples
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elliptic eigenvalue problems
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The authors implement standard techniques to transform a 2-D or 3-D elliptic eigenvalue problem into matrix ones. The latter are treated with the Lanczos algorithm. In case the first eigenvalues are small and close, they implement the same techniques on the inverted problem, calculating the reciprocal values of the eigenvalues of the matrix problem. Numerical examples illustrate the effectiveness of the approach.
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