Error bounded schemes for time-dependent hyperbolic problems

Jan Nordström

doi:10.1137/060654943

Error bounded schemes for time-dependent hyperbolic problems

Jan Nordström

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

38 Citations (Scopus)

Abstract

In this paper we address the error growth in time for hyperbolic problems in first order form in bounded domains. The energy method is used to study when an error growth or a fixed error bound is obtained. It is shown that the choice of boundary procedure is a crucial point. Numerical experiments corroborate the theoretical findings.

Original language	English
Pages (from-to)	46-59
Number of pages	14
Journal	SIAM Journal of Scientific Computing
Volume	30
Issue number	1
DOIs	https://doi.org/10.1137/060654943
Publication status	Published - 2007
Externally published	Yes

Keywords

Boundary conditions
Energy method
Error bound
Hyperbolic problem
Penalty technique
Stability
Temporal error
Weak formulation
Well posed problem

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1137/060654943

Cite this

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abstract = "In this paper we address the error growth in time for hyperbolic problems in first order form in bounded domains. The energy method is used to study when an error growth or a fixed error bound is obtained. It is shown that the choice of boundary procedure is a crucial point. Numerical experiments corroborate the theoretical findings.",

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KW - Boundary conditions

KW - Energy method

KW - Error bound

KW - Hyperbolic problem

KW - Penalty technique

KW - Stability

KW - Temporal error

KW - Weak formulation

KW - Well posed problem

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Error bounded schemes for time-dependent hyperbolic problems

Abstract

Keywords

ASJC Scopus subject areas

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