A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations

DOI10.1007/978-3-319-57397-7_37zbMath1391.76390OpenAlexW2589159051MaRDI QIDQ5355149

Claire Chainais-Hillairet, Stella Krell, Clément Cancès

Publication date: 6 September 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57397-7_37

zbMATH Keywords

nonlinear stabilitydiscrete duality finite volume schemediscrete entropy/dissipation relation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Nonlinear effects in hydrodynamic stability (76E30) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations ⋮ A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators

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