A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes
type: Item
instance of: scholarly article
title: A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes
author: Cheng Dong
author: Tong Kang
published in: Applied Mathematics and Computation
publication date: 2022-01-27T00:00:00Z
Mathematics Subject Classification ID: 65Nxx
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 76Mxx
zbMATH DE Number: 7465291
zbMATH Keywords: cell-centered scheme
zbMATH Keywords: vertex interpolation
zbMATH Keywords: linearity-preserving
zbMATH Keywords: heterogeneous anisotropy
zbMATH Keywords: least squares
describes a project that uses: TRHD
MaRDI profile type: Publication
full work available at URL: j.amc.2021.126847
OpenAlex ID: W4200359247
cites work: A family of multi‐point flux approximation schemes for general element types in two and three dimensions with convergence performance
cites work: A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations
cites work: Q5863809
cites work: 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
cites work: A Decoupled and Positivity-Preserving DDFVS cheme for Diffusion Problems on Polyhedral Meshes
cites work: A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes
cites work: A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids
cites work: A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
cites work: A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces
cites work: A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation
cites work: A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
cites work: A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
cites work: Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes
cites work: A Finite Volume Scheme for Three-Dimensional Diffusion Equations
cites work: Q2577030
cites work: Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
cites work: An efficient cell-centered diffusion scheme for quadrilateral grids
cites work: Numerical methods for energy flux of temperature diffusion equation on unstructured meshes
cites work: Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
cites work: Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations
cites work: A monotone finite volume scheme for advection–diffusion equations on distorted meshes
cites work: On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies
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: A new multipoint flux approximation method with a quasi-local stencil (MPFA-QL) for the simulation of diffusion problems in anisotropic and heterogeneous media
cites work: A multi-moment constrained finite volume method on arbitrary unstructured grids for incompressible flows
cites work: Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh
cites work: Q4593456
cites work: Quasi M-Matrix Multifamily Continuous Darcy-Flux Approximations with Full Pressure Support on Structured and Unstructured Grids in Three Dimensions
cites work: A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
DOI: 10.1016/J.AMC.2021.126847
Recommended article: A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes
Recommended article: A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
Recommended article: A polygonal finite volume element method for anisotropic diffusion problems
Recommended article: A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes
Recommended article: A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
Recommended article: A family of quadratic finite volume element schemes for anisotropic diffusion problems on triangular meshes
Recommended article: Node-diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids
Recommended article: A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids
Recommended article: A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes
Recommended article: A new discretization methodology for diffusion problems on generalized polyhedral meshes
description: scientific article; zbMATH DE number 7465291