A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation
type: Item
instance of: scholarly article
title: A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation
zbMATH Open document ID: 1109.65090
author: Jie Wang
author: Weijun Zhong
author: Jun Zhang
published in: Applied Mathematics and Computation
publication date: 2007-02-19T00:00:00Z
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 5128264
zbMATH Keywords: Poisson equation
zbMATH Keywords: general meshsize
zbMATH Keywords: iterative methods
zbMATH Keywords: numerical examples
zbMATH Keywords: fourth-order compact difference scheme
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: sparse linear systems
zbMATH Keywords: convergence
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: j.amc.2006.06.028
OpenAlex ID: W1988878879
cites work: Q3259280
cites work: Q3134821
cites work: Q4241697
cites work: Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
cites work: High-order difference schemes for two-dimensional elliptic equations
cites work: Methods of conjugate gradients for solving linear systems
cites work: Compact finite difference schemes with spectral-like resolution
cites work: An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
cites work: Parallel iterative methods for sparse linear systems
cites work: High‐order compact scheme for the steady stream‐function vorticity equations
cites work: Q4889209
cites work: Q3993078
cites work: Q4004051
cites work: Q5604166
cites work: An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation
cites work: Fast and high accuracy multigrid solution of the three dimensional Poisson equation
cites work: Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
cites work: High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems.
cites work: Unconditionally stable finite difference scheme and iterative solution fo 2D microscale heat transport equation
DOI: 10.1016/J.AMC.2006.06.028
Recommended article: A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation
Recommended article: Q3132596
Recommended article: Q3787388
Recommended article: Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
Recommended article: An efficient implementation of fourth-order compact finite difference scheme for Poisson equation with Dirichlet boundary conditions
Recommended article: An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation
Recommended article: A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates
Recommended article: Multigrid defect correction and fourth-order compact scheme for Poisson's equation
Recommended article: A DECOMPOSITION FINITE DIFFERENCE METHOD FOR THE FOURTH ORDER ACCURATE SOLUTION OF POISSON'S EQUATION ON GENERAL REGIONS
description: scientific article; zbMATH DE number 5128264