Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem (Q1282125)
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scientific article; zbMATH DE number 1269900
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem |
scientific article; zbMATH DE number 1269900 |
Statements
Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem (English)
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28 March 1999
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The paper is concerned with the Dirichlet problem for a second-order linear elliptic equation with bounded and measurable coefficients. By using the theory of intermediate operators, methods for the calculus of the Green operator and of the corresponding Green function are given. Lower bounds for the eigenvalues are derived as well. The results are extended also to the nonselfadjoint problem. Numerical experiments are included.
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numerical examples
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Dirichlet problem
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second-order linear elliptic equation
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intermediate operators
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Green function
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eigenvalues
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0.9142341
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0.91373736
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0.90313625
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0.90257645
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0.8941396
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0.89195573
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