arXiv:2305.01340 Abstract | arXiv Analytics

arXiv:2305.01340 [math.NA]Abstract References Reviews Resources

A-posteriori error estimates for systems of hyperbolic conservation laws

Published 2023-05-02Version 1

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.

Categories: math.NA, cs.NA

Subjects: 35L40, 65M08, 65M15

Keywords: hyperbolic conservation laws, first order finite-volume approximations, a-priori error estimates, computable a-posteriori error estimates, error estimator converges

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