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

https://doi.org/10.5802/crmath.15
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/s00211-008-0203-5openalex-snapshot
Local flux mimetic finite difference methods
inferredcites →https://doi.org/10.1007/s00211-013-0545-5openalex-snapshot
Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
inferredcites →https://doi.org/10.1016/j.crma.2008.07.015openalex-snapshot
Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes
inferredcites →https://doi.org/10.1016/j.crma.2009.03.013openalex-snapshot
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media
inferredcites →https://doi.org/10.1016/j.crma.2017.12.004openalex-snapshot
Sur une correction non linéaire et un principe du minimum local pour la discrétisation d'opérateurs de diffusion en différences finies
inferredcites →https://doi.org/10.1051/m2an:1999149openalex-snapshot
Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
inferredcites →https://doi.org/10.1051/m2an:2005047openalex-snapshot
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
inferredcites →https://doi.org/10.1090/mcom/2997openalex-snapshot
Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
inferredcites →https://doi.org/10.1093/imanum/dri036openalex-snapshot
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
inferredcites →https://doi.org/10.1093/imanum/drn084openalex-snapshot
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
inferredcites →https://doi.org/10.1137/060666196openalex-snapshot
Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
inferredcites →https://doi.org/10.1137/s1064827595293582openalex-snapshot
Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
inferredcites →https://doi.org/10.1515/cmam-2017-0043openalex-snapshot
Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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An efficient iterative method for radiation heat conduction problems
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An asymptotic preserving scheme for the $$M_1$$ model on polygonal and conical meshes
inferred← citeshttps://doi.org/10.1007/s40314-024-02716-4openalex-snapshot
A positivity-preserving edge-centred finite volume scheme for heterogeneous and anisotropic diffusion problems on polygonal meshes
inferred← citeshttps://doi.org/10.1016/j.amc.2022.127071openalex-snapshot
Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes
inferred← citeshttps://doi.org/10.1016/j.apnum.2024.01.008openalex-snapshot
A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes
inferred← citeshttps://doi.org/10.1016/j.camwa.2022.11.023openalex-snapshot
An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.05.022openalex-snapshot
A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.12.034openalex-snapshot
Composite finite volume schemes for the diffusion equation on unstructured meshes
inferred← citeshttps://doi.org/10.1016/j.jcp.2021.110729openalex-snapshot
A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.112759openalex-snapshot
A nonlinear repair technique for the MPFA-D scheme in single-phase flow problems and heterogeneous and anisotropic media
inferred← citeshttps://doi.org/10.3934/era.2026027openalex-snapshot
A correction finite volume scheme preserving the discrete extremum principle for convection-diffusion equations on tetrahedral meshes
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