Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint (Q293093)
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scientific article; zbMATH DE number 6590623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint |
scientific article; zbMATH DE number 6590623 |
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Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint (English)
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9 June 2016
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Linear elliptic control problems with \(H^1\)-norm state constraints are solved with the Galerkin spectral method. A priori and a posteriori error estimates are derived. The method provides highly accurate and fast convergent solutions for problems with sufficiently regular solutions. The reliability of the a posteriori error indicator is tested numerically for one- and two-dimensional problems with known exact solutions.
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optimal control
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elliptic equations
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state constraint
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Legendre polynomials
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Galerkin spectral method
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numerical example
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error estimates
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