Convergence of an explicit upwind finite element method to multi-dimensional conservation laws (Q2708331)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of an explicit upwind finite element method to multi-dimensional conservation laws |
scientific article |
Statements
3 December 2001
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consistency
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error bound
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upwind finite element method
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scalar conservation laws
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convergence
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Convergence of an explicit upwind finite element method to multi-dimensional conservation laws (English)
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An explicit upwind finite element method is presented for the numerical computation of multi-dimensional scalar conservation laws. It is proved that this scheme in consistent to the equation and monotone. The approximate solution satisfies discrete entropy inequality.NEWLINENEWLINENEWLINETo obtain the limit of approximate solutions, to be a measure valued solution, an energy estimate is proved and the \(L^P\) strong convergence of this scheme is presented.
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