A-posteriori error estimates for systems of hyperbolic conservation laws
Numerical Analysis
2023-05-03 v1 Numerical Analysis
Abstract
We provide rigorous and computable a-posteriori error estimates for first order finite-volume approximations of nonlinear systems of hyperbolic conservation laws in one spatial dimension. Our estimators rely on recent stability results by Bressan, Chiri and Shen and a novel method to compute negative order norms of residuals. Numerical experiments show that the error estimator converges with the rate predicted by a-priori error estimates.
Keywords
Cite
@article{arxiv.2305.01340,
title = {A-posteriori error estimates for systems of hyperbolic conservation laws},
author = {Jan Giesselmann and Aleksey Sikstel},
journal= {arXiv preprint arXiv:2305.01340},
year = {2023}
}