On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition (Q2838597)
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scientific article; zbMATH DE number 6185817
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition |
scientific article; zbMATH DE number 6185817 |
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On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition (English)
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10 July 2013
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parametric model reduction
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a posteriori error estimation
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stability factors
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coercivity constant
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inf-sup condition
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parametrized PDEs
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reduced basis method
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successive constraint method
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empirical interpolation
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algorithm
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Poisson problem
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The authors propose a two-level algorithm for the approximation of lower bounds of stability factors for complex nonaffine operators, based on a two nested approximated affine decompositions. They obtain three possible approximations of the correction factor in the elliptic coercive and noncoercive cases, and apply the two-level procedure to a nonaffinely parametrized Poisson problem.
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