Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation (Q2840615)
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scientific article; zbMATH DE number 6190118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation |
scientific article; zbMATH DE number 6190118 |
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23 July 2013
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discontinuous Galerkin methods
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Korteweg-de Vries equation
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error estimates
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conservation laws
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numerical examples
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finite element
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semi-discrete approximation
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Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation (English)
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The authors construct, analyze and numerically validate a class of conservative, discontinuous Galerkin schemes for the generalized Korteweg-de Vries equation. They define discontinuous finite element spaces and conservative bilinear and multi-linear forms that define operators which lead directly to a semi-discrete approximation. The performed numerical simulations also indicate that the discretization errors grow only linearly on time.
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