A monotonicity preserving, nonlinear, finite element upwind method for the transport equation

DOI10.1016/j.aml.2015.05.005zbMath1382.65306OpenAlexW240919062MaRDI QIDQ289406

Erik Burman

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://discovery.ucl.ac.uk/id/eprint/1476860/

zbMATH Keywords

transport equationshock capturingstabilized finite element methodflux correctionmonotonicity preserving

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)

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Uses Software

• FreeFem++

Cites Work

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• New development in freefem++
• On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems
• Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence