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A-posteriori error estimates for systems of hyperbolic conservation laws

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arxiv 2305.01340 v1 pith:TOHQRBEQ submitted 2023-05-02 math.NA cs.NA

Jan Giesselmann , Aleksey Sikstel This is my paper · ORCID
classification math.NAcs.NA
keywords errorestimatesa-posterioriconservationhyperboliclawsordersystems
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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.

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