On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems
type: Item
instance of: scholarly article
title: On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems
zbMATH Open document ID: 1206.65134
author: Yu-Hong Ran
author: Li Yuan
published in: Applied Mathematics and Computation
publication date: 2010-12-20T00:00:00Z
review text: The paper is concerned with the presentation of the block symmetric successive overrelaxation (SSOR) and a modified block SSOR iteration methods, based on the special structures of the coefficient matrices arising in numerical solution of two-dimensional steady incompressible viscous flow problems in primitive variable formulation. The authors present a theoretical analysis which shows that, under certain conditions, these methods are convergent for the nonsymmetric systems arising from the discretization of the above mentioned problems.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 5828085
zbMATH Keywords: steady incompressible viscous flow
zbMATH Keywords: block SSOR iteration method
zbMATH Keywords: block LU factorization
zbMATH Keywords: block diagonally dominant
zbMATH Keywords: preconditioning
zbMATH Keywords: symmetric successive overrelaxation
MaRDI profile type: Publication
full work available at URL: j.amc.2010.08.039
OpenAlex ID: W2126826299
cites work: A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations
cites work: Modified block SSOR preconditioners for symmetric positive definite linear systems
cites work: Q4718698
cites work: Q4944780
cites work: Q4359097
cites work: Block and asynchronous two-stage methods for mildly nonlinear systems
cites work: A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations
cites work: Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
cites work: An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
cites work: A numerical method for solving incompressible viscous flow problems
cites work: Stability of block LU factorization
cites work: Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
cites work: Q5749007
cites work: The solution of the Navier-Stokes equations using Gauss-Seidel line relaxation
cites work: Fluid flow phenomena. A numerical toolkit. Incl. 1 disk
cites work: A diagonal form of an implicit approximate-factorization algorithm
cites work: Q5268597
cites work: Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
cites work: Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations
cites work: On Schur complement of block diagonally dominant matrices
DOI: 10.1016/J.AMC.2010.08.039
Recommended article: An iterative scheme for numerical solution of steady incompressible viscous flows
Recommended article: Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier–Stokes equations
Recommended article: Linear and non‐linear iterative methods for the incompressible Navier‐Stokes equations
Recommended article: Q3796670
Recommended article: Q3140830
Recommended article: An iterative stabilized scheme for unsteady incompressible viscous flow
Recommended article: Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method
Recommended article: Modified SIMPLE preconditioners for saddle point problems from steady incompressible Navier-Stokes equations
Recommended article: The least-squares meshfree method for the steady incompressible viscous flow
Recommended article: Q4792237
description: scientific article; zbMATH DE number 5828085