A relaxed upper and lower triangular splitting preconditioner for the linearized Navier-Stokes equation

DOI10.1016/j.camwa.2020.02.025OpenAlexW3011529466MaRDI QIDQ2192537

Guo Cheng, Ji-Cheng Li

Publication date: 17 August 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.02.025

zbMATH Keywords

convergenceNavier-Stokes equationsspectral propertiespreconditionergeneralized saddle point problemsupper and lower triangular splitting

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Uses Software

• IFISS

Cites Work

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• A modified positive-definite and skew-Hermitian splitting preconditioner for generalized saddle point problems from the Navier-Stokes equation
• A simplified HSS preconditioner for generalized saddle point problems
• A relaxed positive-definite and skew-Hermitian splitting preconditioner for saddle point problems
• A generalized relaxed positive-definite and skew-Hermitian splitting preconditioner for non-Hermitian saddle point problems
• Two new variants of the HSS preconditioner for regularized saddle point problems
• Two improvements of the deteriorated PSS preconditioner for generalized saddle point problems
• A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations
• A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations
• On parameterized block triangular preconditioners for generalized saddle point problems
• The spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for generalized saddle point problems
• A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equations
• Block triangular preconditioners for symmetric saddle-point problems
• Preconditioned conjugate gradient method for generalized least squares problems
• The parameterized preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equations
• Motivations and realizations of Krylov subspace methods for large sparse linear systems
• A practical formula for computing optimal parameters in the HSS iteration methods
• Positive stable block triangular preconditioners for symmetric saddle point problems
• An inexact modified relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equations
• A generalized variant of the deteriorated PSS preconditioner for nonsymmetric saddle point problems
• A modified dimensional split preconditioner for generalized saddle point problems
• A class of constraint preconditioners for nonsymmetric saddle point matrices
• A relaxed deteriorated PSS preconditioner for nonsymmetric saddle point problems from the steady Navier-Stokes equation
• A modified relaxed splitting preconditioner for generalized saddle point problems from the incompressible Navier-Stokes equations
• Using constraint preconditioners with regularized saddle-point problems
• A note on constraint preconditioners for nonsymmetric saddle point problems
• A note on block diagonal and constraint preconditioners for non-symmetric indefinite linear systems
• Numerical solution of saddle point problems
• Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
• An alternating positive-semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models
• Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
• A relaxed block-triangular splitting preconditioner for generalized saddle-point problems
• Improved Relaxed Positive-Definite and Skew-Hermitian Splitting Preconditioners for Saddle Point Problems
• Constraint-Style Preconditioners for Regularized Saddle Point Problems
• A Modified Relaxed Positive-Semidefinite and Skew-Hermitian Splitting Preconditioner for Generalized Saddle Point Problems
• A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization
• An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems

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