Finite volume approximations and strict stability for hyperbolic problems

Jan Nordström; Martin Björck

doi:10.1016/S0168-9274(01)00027-7

Finite volume approximations and strict stability for hyperbolic problems

Jan Nordström, Martin Björck

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

Strictly stable finite volume formulations for long time integration of hyperbolic problems are formulated by modifying conventional and widely used finite volume schemes close to the boundary. The modification leads to difference operators that satisfy a summation-by-parts rule and the boundary conditions are imposed by a penalty procedure. Both node centered and cell centered approximations are considered. Numerical studies corroborate the superior stability of the modified formulations for long time integrations.

Original language	English
Pages (from-to)	237-255
Number of pages	19
Journal	Applied Numerical Mathematics
Volume	38
Issue number	3
DOIs	https://doi.org/10.1016/S0168-9274(01)00027-7
Publication status	Published - Aug 2001
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/S0168-9274(01)00027-7

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abstract = "Strictly stable finite volume formulations for long time integration of hyperbolic problems are formulated by modifying conventional and widely used finite volume schemes close to the boundary. The modification leads to difference operators that satisfy a summation-by-parts rule and the boundary conditions are imposed by a penalty procedure. Both node centered and cell centered approximations are considered. Numerical studies corroborate the superior stability of the modified formulations for long time integrations.",

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AB - Strictly stable finite volume formulations for long time integration of hyperbolic problems are formulated by modifying conventional and widely used finite volume schemes close to the boundary. The modification leads to difference operators that satisfy a summation-by-parts rule and the boundary conditions are imposed by a penalty procedure. Both node centered and cell centered approximations are considered. Numerical studies corroborate the superior stability of the modified formulations for long time integrations.

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Finite volume approximations and strict stability for hyperbolic problems

Abstract

ASJC Scopus subject areas

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