Convergence of an explicit finite volume scheme for first order symmetric systems (Q1402176)
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scientific article; zbMATH DE number 1967712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of an explicit finite volume scheme for first order symmetric systems |
scientific article; zbMATH DE number 1967712 |
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Convergence of an explicit finite volume scheme for first order symmetric systems (English)
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19 August 2003
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The aim of this paper is to derive an \( o(h^{1/2})\) error estimate for classical upwind, explicit in time, finite volume scheme for linear first order symmetric systems under very general assumptions on the mesh and minimal regularity hypothesis on the continuous solution. The authors propose a new technique, which takes advantage of the linearity of the problem.
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linear first order symmetric systems
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error estimate
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finite volume scheme
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uniform stability
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convergence
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