Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations

DOI10.1515/cmam-2017-0043zbMath1401.65096arXiv1705.10558OpenAlexW2964339352MaRDI QIDQ1989690

Claire Chainais-Hillairet, Stella Krell, Clément Cancès

Publication date: 26 October 2018

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

Full work available at URL: https://arxiv.org/abs/1705.10558

zbMATH Keywords

convergence analysisconvection diffusion equationdiscrete duality finite volumesdiscrete entropy method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

Related Items (13)

Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes ⋮ Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints ⋮ Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches ⋮ A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes ⋮ Structure-Preserving Schemes for Drift-Diffusion Systems on General Meshes: DDFV Versus HFV ⋮ Exponential Decay to Equilibrium of Nonlinear DDFV Schemes for Convection-Diffusion Equations ⋮ Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations ⋮ Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis ⋮ Modified variational iteration algorithm-II: convergence and applications to diffusion models ⋮ Nonlinear finite volume discretization for transient diffusion problems on general meshes ⋮ Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations ⋮ Preface: An eclectic view on numerical methods for PDEs: presentation of the special issue ``Advanced numerical methods: recent developments, analysis and applications ⋮ Analysis of accurate and stable nonlinear finite volume scheme for anisotropic diffusion equations with drift on simplicial meshes

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