A note on the positive stable block triangular preconditioner for generalized saddle point problems

DOI10.1016/j.amc.2012.05.003zbMath1280.65028OpenAlexW1986057010MaRDI QIDQ387483

Mei-Qun Jiang, Ying-Long Zheng, Yang Cao

Publication date: 23 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.003

zbMATH Keywords

finite element methodnumerical experimentsStokes problemeigenvalue boundpreconditionergeneralized saddle point problems

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)

Related Items (14)

A generalization of parameterized block triangular preconditioners for generalized saddle point problems ⋮ A generalized relaxed positive-definite and skew-Hermitian splitting preconditioner for non-Hermitian saddle point problems ⋮ Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices ⋮ Block symmetric-triangular preconditioners for generalized saddle point linear systems from piezoelectric equations ⋮ Two modified block-triangular splitting preconditioners for generalized saddle-point problems ⋮ A simplified PSS preconditioner for non-Hermitian generalized saddle point problems ⋮ Parameterized approximate block LU preconditioners for generalized saddle point problems ⋮ A modified dimensional split preconditioner for generalized saddle point problems ⋮ A note on parameterized block triangular preconditioners for generalized saddle point problems ⋮ A new relaxed PSS preconditioner for nonsymmetric saddle point problems ⋮ Two new variants of the HSS preconditioner for regularized saddle point problems ⋮ Block triangular preconditioners based on symmetric-triangular decomposition for generalized saddle point problems ⋮ A relaxed deteriorated PSS preconditioner for nonsymmetric saddle point problems from the steady Navier-Stokes equation ⋮ A relaxed block-triangular splitting preconditioner for generalized saddle-point problems

Cites Work

• Unnamed Item
• Unnamed Item
• New choices of preconditioning matrices for generalized inexact parameterized iterative methods
• Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
• On parameterized inexact Uzawa methods for generalized saddle point problems
• On parameterized block triangular preconditioners for generalized saddle point problems
• Optimization of the parameterized Uzawa preconditioners for saddle point matrices
• Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• On local Hermitian and skew-Hermitian splitting iteration methods for generalized saddle point problems
• Positive stable block triangular preconditioners for symmetric saddle point problems
• Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems
• On generalized successive overrelaxation methods for augmented linear systems
• A splitting preconditioner for saddle point problems
• Structured preconditioners for nonsingular matrices of block two-by-two structures
• Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
• Numerical solution of saddle point problems
• Constraint Preconditioners for Symmetric Indefinite Matrices
• Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
• Constraint Preconditioning for Indefinite Linear Systems
• On Inexact Preconditioners for Nonsymmetric Matrices

This page was built for publication: A note on the positive stable block triangular preconditioner for generalized saddle point problems