Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound

DOI10.1090/S0025-5718-2012-02615-9zbMath1262.65126arXiv0908.4402MaRDI QIDQ4911896

Nikolaos Sfakianakis

Publication date: 20 March 2013

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

Full work available at URL: https://arxiv.org/abs/0908.4402

zbMATH Keywords

finite volume methodoscillationstabilizationnumerical exampleshyperbolic conservation lawstotal variation boundadaptive mesh reconstruction

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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