Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
SIAM Journal on Numerical Analysis
An Iteration for Indefinite Systems and Its Application to the Navier--Stokes Equations
SIAM Journal on Scientific Computing
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
Uzawa type algorithms for nonsymmetric saddle point problems
Mathematics of Computation
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
SIAM Journal on Matrix Analysis and Applications
Fast uzawa algorithm for generalized saddle point problems
Applied Numerical Mathematics
Block triangular preconditioners for symmetric saddle-point problems
Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
Analysis of iterative algorithms of Uzawa type for saddle point problems
Applied Numerical Mathematics
A Preconditioner for Generalized Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
On Inexact Preconditioners for Nonsymmetric Matrices
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
SIAM Journal on Scientific Computing
Positive stable block triangular preconditioners for symmetric saddle point problems
Applied Numerical Mathematics
Constraint-Style Preconditioners for Regularized Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
New choices of preconditioning matrices for generalized inexact parameterized iterative methods
Journal of Computational and Applied Mathematics
Semi-convergence analysis of Uzawa methods for singular saddle point problems
Journal of Computational and Applied Mathematics
A preconditioned GLHSS iteration method for non-Hermitian singular saddle point problems
Computers & Mathematics with Applications
| Hi-index | 7.29 |
In this paper, we first present a local Hermitian and skew-Hermitian splitting (LHSS) iteration method for solving a class of generalized saddle point problems. The new method converges to the solution under suitable restrictions on the preconditioning matrix. Then we give a modified LHSS (MLHSS) iteration method, and further extend it to the generalized saddle point problems, obtaining the so-called generalized MLHSS (GMLHSS) iteration method. Numerical experiments for a model Navier-Stokes problem are given, and the results show that the new methods outperform the classical Uzawa method and the inexact parameterized Uzawa method.