Higher order fully discrete scheme combined with \(H^1\)-Galerkin mixed finite element method for semilinear reaction-diffusion equations. (Q1880465)
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scientific article; zbMATH DE number 2103969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher order fully discrete scheme combined with \(H^1\)-Galerkin mixed finite element method for semilinear reaction-diffusion equations. |
scientific article; zbMATH DE number 2103969 |
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Higher order fully discrete scheme combined with \(H^1\)-Galerkin mixed finite element method for semilinear reaction-diffusion equations. (English)
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28 September 2004
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A first order splitting is applied to a semilinear reaction-diffusion equation. The resulting system is discretized by means of a mixed Galerkin finite element method in space which yields a system of differential-algebraic equations of index one. A priori estimates are derived. Implicit Runge-Kutta-methods are used in the fully discrete case and numerical results are shown.
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mixed finite elements
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semilinear reaction-diffusion equation
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differential-algebraic equations
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Galerkin finite element method
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implicit Runge-Kutta-methods
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numerical results
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0.9024716
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0.8928378
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0.8908536
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0.89071774
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0.8897005
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