Error bounded schemes for time-dependent hyperbolic problems

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37 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 languageEnglish
Pages (from-to)46-59
Number of pages14
JournalSIAM Journal of Scientific Computing
Volume30
Issue number1
DOIs
Publication statusPublished - 2007
Externally publishedYes

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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