A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
type: Item
instance of: scholarly article
title: A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
zbMATH Open document ID: 1415.65246
author: Shuai Su
author: Qiannan Dong
author: Jiming Wu
published in: Journal of Computational Physics
publication date: 2019-06-28T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7074847
zbMATH Keywords: diffusion problems
zbMATH Keywords: DDFV
zbMATH Keywords: decoupled algorithm
zbMATH Keywords: positivity-preserving scheme
zbMATH Keywords: well-posedness
describes a project that uses: TRHD
MaRDI profile type: Publication
full work available at URL: j.jcp.2018.06.052
OpenAlex ID: W2809386994
cites work: On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality
cites work: Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
cites work: An efficient cell-centered diffusion scheme for quadrilateral grids
cites work: A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
cites work: Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
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: A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations
cites work: The Discrete Duality Finite Volume Method for Convection-diffusion Problems
cites work: Q5863809
cites work: A Discrete Duality Finite Volume Approach to Hodge Decomposition and div‐curl Problems on Almost Arbitrary Two‐Dimensional Meshes
cites work: A discrete duality finite volume discretization of the vorticity‐velocity‐pressure stokes problem on almost arbitrary two‐dimensional grids
cites work: Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations
cites work: A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
cites work: Finite volume schemes for diffusion equations: Introduction to and review of modern methods
cites work: Gradient schemes: generic tools for the numerical analysis of diffusion equations
cites work: Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
cites work: 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
cites work: A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
cites work: A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
cites work: Q5409918
cites work: A finite volume method for the approximation of diffusion operators on distorted meshes
cites work: Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes.
cites work: A finite volume method for solving Maxwell equations in inhomogeneous media on arbitrary meshes
cites work: Approximation of 2D and 3D diffusion operators with variable full tensor coefficients on arbitrary meshes
cites work: A finite volume method for approximating 3D diffusion operators on general meshes
cites work: Approximating second-order vector differential operators on distorted meshes in two space dimensions
cites work: A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes
cites work: Une méthode de volumes finis pour les équations elliptiques du second ordre
cites work: Sufficient criteria are necessary for monotone control volume methods
cites work: The discrete duality finite volume method for Stokes equations on three-dimensional polyhedral meshes
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: Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
cites work: The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient
cites work: The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
cites work: Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients
cites work: Q2577030
cites work: A nonlinear correction and maximum principle for diffusion operators with hybrid schemes
cites work: On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies
cites work: Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
cites work: TRHD: Three-temperature radiation-hydrodynamics code with an implicit non-equilibrium radiation transport using a cell-centered monotonic finite volume scheme on unstructured-grids
cites work: Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
cites work: Q4947421
cites work: A monotone finite volume scheme for advection–diffusion equations on distorted meshes
cites work: Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids
cites work: Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
cites work: Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations
cites work: Monotone finite volume schemes for diffusion equations on polygonal meshes
cites work: A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
DOI: 10.1016/J.JCP.2018.06.052
description: scientific article; zbMATH DE number 7074847