scholarly journals A special parameterized inexact Uzawa algorithm for symmetric saddle point problem

2018 ◽  
Vol 22 (4) ◽  
pp. 1715-1721
Author(s):  
Jun-Feng Lu ◽  
Li Ma
Keyword(s):  
Fluid Dynamics ◽  
Saddle Point ◽  
Numerical Experiments ◽  
Stokes Problem ◽  
Sufficient Conditions ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Uzawa Algorithm ◽  
Special Algorithm

In this paper, we consider a symmetric saddle point problem arising in the fluid dynamics. A special parameterized inexact Uzawa algorithm is proposed for solving the symmetric saddle point problem. The convergence of this special algorithm is considered. Sufficient conditions for the convergence are given. Numerical experiments resulting from stokes problem are presented to show the efficiency of the algorithm.

scholarly journals A relaxed non-linear inexact Uzawa algorithm for stokes problem

2019 ◽  
Vol 23 (4) ◽  
pp. 2323-2331
Author(s):  
Shao-Qing Zheng ◽  
Jun-Feng Lu
Keyword(s):  
Fluid Dynamics ◽  
Numerical Experiments ◽  
Stokes Problem ◽  
Mixed Finite Element ◽  
Finite Element Approximation ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Element Approximation ◽  
Uzawa Algorithm ◽  
Non Linear

In this paper, we consider a Stokes problem arising in fluid dynamics and thermal science, which can be transformed to a symmetric saddle point problem by using the mixed finite element approximation. A relaxed non-linear inexact Uzawa algorithm is proposed for solving the problem, and the convergence of this algorithm is also considered. Numerical experiments are presented to show the efficiency of relaxed non-linear inexact Uzawa algorithm.

scholarly journals The ULT-HSS hybrid iteration method for symmetric saddle point problems

2021 ◽  
pp. 128-128
Author(s):  
Jun-Feng Lu
Keyword(s):  
Saddle Point ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Optimal Parameter ◽  
Sufficient Conditions ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Saddle Point Problems ◽  
Necessary And Sufficient ◽  
Direction Iteration

This paper proposes a hybrid iteration method for solving symmetric saddle point problem arising in computational fluid dynamics. It is an implicit alternative direction iteration method and named as the ULT-HSS method. The convergence analysis is provided, and the necessary and sufficient conditions are given for the convergence of the method. Some practical approaches are formulated for setting the optimal parameter of the method. Numerical experiments are given to show its efficiency.

Generalized Accelerated Hermitian and Skew-Hermitian Splitting Methods for Saddle-Point Problems

2017 ◽  
Vol 10 (1) ◽  
pp. 167-185 ◽  
Author(s):  
H. Noormohammadi Pour ◽  
H. Sadeghi Goughery
Keyword(s):  
Saddle Point ◽  
Unique Solution ◽  
Numerical Experiments ◽  
Saddle Point Problem ◽  
Splitting Methods ◽  
Point Problem ◽  
Saddle Point Problems ◽  
Iteration Methods ◽  
Hss Iteration ◽  
Iteration Parameters

AbstractWe generalize the accelerated Hermitian and skew-Hermitian splitting (AHSS) iteration methods for large sparse saddle-point problems. These methods involve four iteration parameters whose special choices can recover the preconditioned HSS and accelerated HSS iteration methods. Also a new efficient case is introduced and we theoretically prove that this new method converges to the unique solution of the saddle-point problem. Numerical experiments are used to further examine the effectiveness and robustness of iterations.

scholarly journals Computational aspects of the weak micro‐periodicity saddle point problem

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Ritukesh Bharali ◽  
Fredrik Larsson ◽  
Ralf Jänicke
Keyword(s):  
Saddle Point ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Computational Aspects

Accelerated Methods for Saddle-Point Problem

2020 ◽  
Vol 60 (11) ◽  
pp. 1787-1809
Author(s):  
M. S. Alkousa ◽  
A. V. Gasnikov ◽  
D. M. Dvinskikh ◽  
D. A. Kovalev ◽  
F. S. Stonyakin
Keyword(s):  
Saddle Point ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Accelerated Methods
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