Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

DOI10.1016/j.jcp.2011.07.009zbMath1269.65099arXiv1012.5826OpenAlexW2073662629MaRDI QIDQ655082

Juan-Miguel Gracia

Publication date: 28 December 2011

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

Full work available at URL: https://arxiv.org/abs/1012.5826

zbMATH Keywords

numerical examplesfinite elementerror analysisshock capturingRunge-Kuttadiscontinuous Galerkinhyperbolic PDEtotal variation diminishingstrong stability preservingadaptive slope limitingadvection-diffusion systemsadvective transportdynamic \(p\)-adaptivitydynamic \(p\)-enrichment

Mathematics Subject Classification ID

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) Initial value problems for first-order hyperbolic systems (35L45)

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