Error Bounded Schemes for Time-dependent Hyperbolic Problems

Error Bounded Schemes for Time-dependent Hyperbolic Problems

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 co...

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Veröffentlicht in:SIAM journal on scientific computing 2007-01, Vol.30 (1), p.46-59
1. Verfasser: Nordström, Jan
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary conditions
Computer science
Datavetenskap
Energy
energy method
error bound
hyperbolic problem
Information technology
Informationsteknik
MATEMATIK
MATHEMATICS
penalty technique
stability
TECHNOLOGY
TEKNIKVETENSKAP
temporal error
Tillämpad matematik
weak formulation
well posed problem
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Beschreibung
Zusammenfassung: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.
ISSN:1064-8275
1095-7197
1095-7197
DOI:10.1137/060654943