Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes
type: Item
instance of: scholarly article
title: Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes
zbMATH Open document ID: 1500.65093
author: Zhiqiang Sheng
author: Guangwei Yuan
published in: Science China. Mathematics
publication date: 2022-10-25T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7606692
zbMATH Keywords: coercivity
zbMATH Keywords: discrete maximum principle
zbMATH Keywords: nonlinear finite volume scheme
zbMATH Keywords: distorted meshes
MaRDI profile type: Publication
full work available at URL: s11425-021-1931-3
OpenAlex ID: W4220709166
cites work: A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints
cites work: A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
cites work: Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions
cites work: Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary 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: An improvement of the two-point flux approximation scheme on polygonal meshes
cites work: Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes
cites work: Failure of the discrete maximum principle for an elliptic finite element problem
cites work: Finite volume schemes for diffusion equations: Introduction to and review of modern methods
cites work: Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
cites work: A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids
cites work: A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
cites work: A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
cites work: The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations
cites work: Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems
cites work: Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems
cites work: Q2577030
cites work: Q5863813
cites work: Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems
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: A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes
cites work: Minimal stencil finite volume scheme with the discrete maximum principle
cites work: Q3406180
cites work: Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
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: Monotonicity of control volume methods
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: A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
cites work: The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
cites work: A new nonlinear finite volume scheme preserving positivity for diffusion equations
cites work: Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
cites work: Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
cites work: Maximum principles for \(P_1\)-conforming finite element approximations of quasi-linear second order elliptic equations
cites work: Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems
cites work: Q5051229
cites work: Monotone finite volume schemes for diffusion equations on polygonal meshes
cites work: Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations
cites work: A Conservative Gradient Discretization Method for Parabolic Equations
DOI: 10.1007/S11425-021-1931-3
description: scientific article; zbMATH DE number 7606692