Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws
Metadata only
Date
2015-03Type
- Journal Article
Abstract
Solutions of initial-boundary value problems for systems of conservation laws depend on the underlying viscous mechanism, namely different viscosity operators lead to different limit solutions. Standard numerical schemes for approximating conservation laws do not take into account this fact and converge to solutions that are not necessarily physically relevant. We design numerical schemes that incorporate explicit information about the underlying viscosity mechanism and approximate the physical-viscosity solution. Numerical experiments illustrating the robust performance of these schemes are presented. Show more
Publication status
publishedExternal links
Journal / series
Journal of Hyperbolic Differential EquationsVolume
Pages / Article No.
Publisher
World ScientificSubject
Conservation laws; Initial-boundary value problems; Numerical schemesOrganisational unit
03851 - Mishra, Siddhartha / Mishra, Siddhartha
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