On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems

DOI10.1016/j.amc.2010.08.039zbMath1206.65134OpenAlexW2126826299MaRDI QIDQ613228

Yu-Hong Ran, Li Yuan

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.039

zbMATH Keywords

preconditioningsymmetric successive overrelaxationblock LU factorizationblock diagonally dominantblock SSOR iteration methodsteady incompressible viscous flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items

Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier–Stokes equations, On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations, A modified SSOR preconditioning strategy for Helmholtz equations, On preconditioned iterative methods for unsteady incompressible Navier-Stokes equations

Cites Work

• Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations
• The solution of the Navier-Stokes equations using Gauss-Seidel line relaxation
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• A diagonal form of an implicit approximate-factorization algorithm
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations
• Block and asynchronous two-stage methods for mildly nonlinear systems
• A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations
• On Schur complement of block diagonally dominant matrices
• A numerical method for solving incompressible viscous flow problems
• Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
• Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
• Stability of block LU factorization
• Fluid flow phenomena. A numerical toolkit. Incl. 1 disk
• Modified block SSOR preconditioners for symmetric positive definite linear systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item