Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems

DOI10.1137/16M1074291zbMath1346.65050arXiv1509.07461OpenAlexW2962976992MaRDI QIDQ3188307

Bojan Popov, Jean-Luc Guermond

Publication date: 18 August 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07461

zbMATH Keywords

stabilityfinite element methodhyperbolic systemsCourant-Friedrichs-Lewy conditionnonuniform gridsfirst-order methodartificial dissipationparabolic regularizationinvariant domainconservation equationsdiscrete entropy layer

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)

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Uses Software

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