A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators

DOI10.5802/crmath.15zbMath1447.65115OpenAlexW3013137353MaRDI QIDQ784335

Christophe Le Potier

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.15

zbMATH Keywords

maximum principlefinite volume schemeelliptic equationnonlinear correction

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (6)

A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes ⋮ An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ A nonlinear repair technique for the MPFA-D scheme in single-phase flow problems and heterogeneous and anisotropic media ⋮ Composite finite volume schemes for the diffusion equation on unstructured meshes ⋮ A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes

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