Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes
type: Item
instance of: scholarly article
title: Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes
zbMATH Open document ID: 1436.65163
author: Qiannan Dong
author: Shuai Su
author: Jiming Wu
published in: Advances in Computational Mathematics
publication date: 2020-04-15T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7189709
zbMATH Keywords: diffusion problems
zbMATH Keywords: positivity-reserving
zbMATH Keywords: well-posedness
zbMATH Keywords: stability
zbMATH Keywords: \(H^1\) error estimate
MaRDI profile type: Publication
full work available at URL: s10444-020-09748-4
OpenAlex ID: W3006761517
cites work: The G method for heterogeneous anisotropic diffusion on general meshes
cites work: A positive scheme for diffusion problems on deformed meshes
cites work: Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes
cites work: Mimetic finite differences for elliptic problems
cites work: A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
cites work: A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
cites work: Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations
cites work: Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations
cites work: Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
cites work: Non linear schemes for the heat equation in 1D
cites work: Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
cites work: A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
cites work: Finite volume methods
cites work: Q4593456
cites work: Une méthode de volumes finis pour les équations elliptiques du second ordre
cites work: A finite volume method for the approximation of diffusion operators on distorted meshes
cites work: Sufficient criteria are necessary for monotone control volume methods
cites work: Q2577030
cites work: A nonlinear correction and maximum principle for diffusion operators with hybrid schemes
cites work: Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
cites work: Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
cites work: Monotonicity of control volume methods
cites work: A nonlinear correction and local minimum principle for diffusion operators with finite differences
cites work: Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
cites work: A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
cites work: Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids
cites work: Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes
cites work: The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids
cites work: A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
DOI: 10.1007/S10444-020-09748-4
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description: scientific article; zbMATH DE number 7189709