Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension

DOI10.1090/mcom/3126zbMath1359.65204OpenAlexW2464330124MaRDI QIDQ2967964

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Publication date: 9 March 2017

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

Full work available at URL: https://doi.org/10.1090/mcom/3126

zbMATH Keywords

maximum principleconvergencenumerical exampleerror estimatessemidiscretizationhyperbolic conservation lawscell entropy inequalitygeometric conservation lawarbitrary Lagrangian-Eulerian discontinuous Galerkin methodslope limiter conditions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Uses Software

• CLAWPACK

Cites Work

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