The discontinuous finite volume element method and numerical simulations of two-dimensional semi-linear pseudo-parabolic equations (Q2864893)
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scientific article; zbMATH DE number 6233530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The discontinuous finite volume element method and numerical simulations of two-dimensional semi-linear pseudo-parabolic equations |
scientific article; zbMATH DE number 6233530 |
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26 November 2013
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semi-linear pseudo-parabolic equations
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discontinuous finite volume element method
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optimal error estimate
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numerical experiments
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The discontinuous finite volume element method and numerical simulations of two-dimensional semi-linear pseudo-parabolic equations (English)
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The fully discrete finite volume element method for a certain type of two-dimensional semi-linear pseudo-parabolic equations has been studied by \textit{F. Chen} et al. [J. Shandong Normal Univ. 28, 37--40 (2013)]. An optimal error estimation in the \(L^2\)-norm and the discrete \(H^1\)-norm is obtained by defining a Ritz-Volterra mapping of this problem. A numerical illustration is also presented.
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0.8467654585838318
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0.8452659845352173
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0.8430180549621582
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