Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion. I: One-dimensional conservation laws
DOI10.1007/s10915-023-02170-0arXiv2208.00941OpenAlexW4362633788MaRDI QIDQ6101555
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.00941
high-order methodsdiscontinuous Galerkin methodsfinite-volume methodsentropy stabilityentropy rate criterion
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for first-order hyperbolic equations (35L03) Numerical analysis (65-XX)
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