Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws
Numerical Analysis
2011-09-08 v1 Analysis of PDEs
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 physically relevant solution. Numerical experiments illustrating the robust performance of these schemes are presented.
Keywords
Cite
@article{arxiv.1109.1446,
title = {Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws},
author = {Siddhartha Mishra and Laura V. Spinolo},
journal= {arXiv preprint arXiv:1109.1446},
year = {2011}
}
Comments
22 pages, 13 figures