A High Order Adaptive Finite Element Method for Solving Nonlinear Hyperbolic Conservation Laws

DOI10.4208/JCM.1105-M3392zbMath1249.65207OpenAlexW3146211496MaRDI QIDQ2886678

Zhengfu Xu, Chi-Wang Shu, Jin-Chao Xu

Publication date: 1 June 2012

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/01ab94e78ceb66916507360e9be81cba44d6944b

zbMATH Keywords

artificial viscositynumerical examplesBurgers equationnonlinear hyperbolic conservation lawadaptive finite elementposterior error estimate

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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