Error bounded schemes for time-dependent hyperbolic problems
2007 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 30, no 1, 46-59 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2007. Vol. 30, no 1, 46-59 p.
temporal error, error bound, hyperbolic problem, boundary conditions, energy method, well posed problem, stability, weak formulation, penalty technique
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-37109DOI: 10.1137/060654943ISI: 000253815200003ScopusID: 2-s2.0-55549096751OAI: oai:DiVA.org:kth-37109DiVA: diva2:432132