A characteristics-mixed finite element method for Burgers' equation. (Q1880466)
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scientific article; zbMATH DE number 2103970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characteristics-mixed finite element method for Burgers' equation. |
scientific article; zbMATH DE number 2103970 |
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A characteristics-mixed finite element method for Burgers' equation. (English)
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28 September 2004
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This paper proposes a numerical method for Burgers' equation with periodic boundary conditions. The method involves temporal integration along the characteristic curves, and the spatial discretization is made by a mixed finite element method using Raviart-Thomas basis functions of low order. Error bounds are obtained in the \(L^2\) norm.
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Burgers' equation
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method of characteristics
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mixed finite elements
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error bounds
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