Finite element formulation based on proper orthogonal decomposition for parabolic equations (Q1042912)
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scientific article; zbMATH DE number 5643415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite element formulation based on proper orthogonal decomposition for parabolic equations |
scientific article; zbMATH DE number 5643415 |
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Finite element formulation based on proper orthogonal decomposition for parabolic equations (English)
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7 December 2009
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The authors are concerned with the study of the proper orthogonal decomposition (POD) method used to a usual finite element (FE) formulation for parabolic equations so that the usual finite element formulation is reduced into a (POD)-(FE) formulation with lower dimensional numbers and enough high accuracy. The errors between the reduced (POD)-(FE) solution and the usual (FE) solution are analyzed. It is shown by numerical examples that the results of numerical computation are consistent with theoretical conclusions.
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proper orthogonal decomposition
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finite element
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parabolic equations
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error analysis
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numerical examples
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