A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models

DOI10.1016/j.cam.2021.114011zbMath1503.65160OpenAlexW4200464535WikidataQ115580984 ScholiaQ115580984MaRDI QIDQ2074894

Wanderson Lambert, Jean François, Eduardo Abreu, John Perez

Publication date: 11 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.114011

zbMATH Keywords

hyperbolic conservation lawssemi-discrete schemeblow-up analysisKruzhkov entropy solutionweak asymptotic analysistotal variation nonincreasing

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)

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A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws, Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for <scp>1D</scp> hyperbolic problems, A relaxation approach to modeling properties of hyperbolic-parabolic type models, An exponential integration generalized multiscale finite element method for parabolic problems, A geometrically intrinsic Lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data

Uses Software

• ReALE

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