Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws

DOI10.1016/j.cma.2020.113370zbMath1506.74413arXiv2003.12007OpenAlexW3013974629WikidataQ115578464 ScholiaQ115578464MaRDI QIDQ2020968

Manuel Quezada de Luna, Dmitri Kuzmin

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12007

zbMATH Keywords

finite elementshyperbolic conservation lawsinvariant domainsentropy stabilitypositivity preservationalgebraic flux correctionconvex limitinginvariant domain preservation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic systems (35L45) Symmetries and conservation laws in mechanics of particles and systems (70S10)

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Uses Software

• SHASTA

Cites Work

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