On 3D DDFV discretization of gradient and divergence operators: discrete functional analysis tools and applications to degenerate parabolic problems

DOI10.1515/cmam-2013-0011zbMath1393.65043OpenAlexW2008531655MaRDI QIDQ1641922

Mostafa Bendahmane, Florence Hubert, Boris P. Andreianov

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1515/cmam-2013-0011

zbMATH Keywords

convergenceconsistencydiscrete compactnessfinite volume approximationdiscrete dualitydegenerate parabolic problems3D ceve-DDFVdiscrete Sobolev embeddingsKruzhkov time compactness lemma

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 (8)

Time Compactness Tools for Discretized Evolution Equations and Applications to Degenerate Parabolic PDEs ⋮ A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs ⋮ On numerical approximation of diffusion problems governed by variable-exponent nonlinear elliptic operators ⋮ Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations ⋮ Numerical analysis for generalized Forchheimer flows of slightly compressible fluids ⋮ Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis ⋮ Unnamed Item ⋮ Gradient schemes: Generic tools for the numerical analysis of diffusion equations

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