On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems

NN Wang, JC Li - Journal of Computational and Applied Mathematics, 2022 - Elsevier
In this paper, we consider some preconditioning techniques for a class of block three-by-
three saddle point problems, which arise from a coupled diffuse element-finite element …

[HTML][HTML] A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems

Y Cao, S Li, LQ Yao - Applied Mathematics Letters, 2015 - Elsevier
In this paper, a class of generalized shift-splitting preconditioners with two shift parameters
are implemented for nonsymmetric saddle point problems with nonsymmetric positive …

[HTML][HTML] A modified dimensional split preconditioner for generalized saddle point problems

Y Cao, LQ Yao, MQ Jiang - Journal of Computational and Applied …, 2013 - Elsevier
For large and sparse saddle point linear systems arising from 2D linearized Navier–Stokes
equations, Benzi and Guo recently studied a dimensional split (DS) preconditioner (Appl …

An alternating positive-semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models

ZR Ren, Y Cao - IMA Journal of Numerical Analysis, 2016 - academic.oup.com
For the saddle point problem arising from the finite element discretization of the hybrid
formulation of the time-harmonic eddy current problem, we propose an alternating positive …

Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape

ND Santo, A Manzoni - Advances in Computational Mathematics, 2019 - Springer
In this work, we set up a new, general, and computationally efficient way to tackle
parametrized fluid flows modeled through unsteady Navier-Stokes equations defined on …

Preconditioners for generalized saddle-point problems

C Siefert, E De Sturler - SIAM journal on numerical analysis, 2006 - SIAM
\noindent We propose and examine block-diagonal preconditioners and variants of
indefinite preconditioners for block two-by-two generalized saddle-point problems. That is …

On parameterized block triangular preconditioners for generalized saddle point problems

MQ Jiang, Y Cao, LQ Yao - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we discuss two classes of parameterized block triangular preconditioners for
the generalized saddle point problems. These preconditioners generalize the common block …

A variant of the deteriorated PSS preconditioner for nonsymmetric saddle point problems

J Zhang, C Gu - BIT Numerical Mathematics, 2016 - Springer
For nonsymmetric saddle point problems, Pan et al.(Appl Math Comput 172: 762–771, 2006)
proposed a deteriorated positive-definite and skew-Hermitian splitting (DPSS) …

A new relaxed HSS preconditioner for saddle point problems

DK Salkuyeh, M Masoudi - Numerical Algorithms, 2017 - Springer
We present a preconditioner for saddle point problems. The proposed preconditioner is
extracted from a stationary iterative method which is convergent under a mild condition …

A relaxed positive semi-definite and skew-Hermitian splitting preconditioner for non-Hermitian generalized saddle point problems

H Fan, B Zheng, X Zhu - Numerical Algorithms, 2016 - Springer
For non-Hermitian saddle point linear systems, Pan, Ng and Bai presented a positive semi-
definite and skew-Hermitian splitting (PSS) preconditioner (Pan et al. Appl. Math. Comput …