A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems

DOI10.1093/IMANUM/DRAB101OpenAlexW4206619878MaRDI QIDQ5879411

Antoine Zurek, Ansgar Jüngel

Publication date: 1 March 2023

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.05476

zbMATH Keywords

positivitycross-diffusion systemfinite-volume methodconvergence of the schemediscrete chain rulediscrete entropy dissipation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Gas dynamics (general theory) (76N15) 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 volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (4)

Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation ⋮ A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system ⋮ Structure-preserving reduced order model for parametric cross-diffusion systems

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