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Convergence of fluctuation-splitting schemes for two dimensional scalar conservation laws with a kinetic solver - MaRDI portal

Convergence of fluctuation-splitting schemes for two dimensional scalar conservation laws with a kinetic solver (Q5929857)

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scientific article; zbMATH DE number 1586948
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Convergence of fluctuation-splitting schemes for two dimensional scalar conservation laws with a kinetic solver
scientific article; zbMATH DE number 1586948

    Statements

    Convergence of fluctuation-splitting schemes for two dimensional scalar conservation laws with a kinetic solver (English)
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    17 April 2001
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    The fluctuation splitting scheme of \textit{P. L. Roe} and \textit{D. Sildikover} [SIAM J. Numer. Anal. 29, No. 6, 1542-1568 (1992; Zbl 0765.65093)] is analyzed on triangular grids together with a kinetic approach to reduce the nonlinear conservation law to a linear equation. A convergence proof is given.
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    kinetic discretization
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    fluctuation splitting scheme
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    nonlinear conservation law
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    convergence
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