scholarly journals A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity

2017 ◽  
Vol 60 (6) ◽  
pp. 969-982
Author(s):  
Sylvain Mercier ◽  
Serge Gratton ◽  
Nicolas Tardieu ◽  
Xavier Vasseur
Keyword(s):  
Saddle Point ◽  
Linear Systems ◽  
Structural Mechanics ◽  
Saddle Point Problems ◽  
Update Strategy

scholarly journals Numerical solution of saddle point problems

Acta Numerica ◽  
2005 ◽  
Vol 14 ◽  
pp. 1-137 ◽  
Author(s):  
Michele Benzi ◽  
Gene H. Golub ◽  
Jörg Liesen
Keyword(s):  
Saddle Point ◽  
Linear Systems ◽  
Saddle Point Problems ◽  
Science And Engineering ◽  
Solution Methods ◽  
Computational Science And Engineering ◽  
Sparse Problems ◽  
Large Linear Systems ◽  
Point Form ◽  
Selection Of

Large linear systems of saddle point type arise in a wide variety of applications throughout computational science and engineering. Due to their indefiniteness and often poor spectral properties, such linear systems represent a significant challenge for solver developers. In recent years there has been a surge of interest in saddle point problems, and numerous solution techniques have been proposed for this type of system. The aim of this paper is to present and discuss a large selection of solution methods for linear systems in saddle point form, with an emphasis on iterative methods for large and sparse problems.

scholarly journals New Block Triangular Preconditioners for Saddle Point Linear Systems with Highly Singular (1,1) Blocks

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
TingZhu Huang ◽  
GuangHui Cheng ◽  
Liang Li
Keyword(s):  
Saddle Point ◽  
Linear Systems ◽  
Numerical Experiments ◽  
Optimal Parameter ◽  
Spectral Characteristics ◽  
Saddle Point Problems

We establish two types of block triangular preconditioners applied to the linear saddle point problems with the singular (1,1) block. These preconditioners are based on the results presented in the paper of Rees and Greif (2007). We study the spectral characteristics of the preconditioners and show that all eigenvalues of the preconditioned matrices are strongly clustered. The choice of the parameter is involved. Furthermore, we give the optimal parameter in practical. Finally, numerical experiments are also reported for illustrating the efficiency of the presented preconditioners.

Modified unsymmetric SOR method for saddle-point problems

2014 ◽  
Vol 234 ◽  
pp. 584-598 ◽  
Author(s):  
Zhao-Zheng Liang ◽  
Guo-Feng Zhang
Keyword(s):  
Saddle Point ◽  
Saddle Point Problems ◽  
Sor Method
Sign in / Sign up

Export Citation Format

Share Document