direction iteration
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2021 ◽  
pp. 128-128
Author(s):  
Jun-Feng Lu

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.


2016 ◽  
Vol 6 (3) ◽  
pp. 235-252 ◽  
Author(s):  
Zhong Zheng ◽  
Guo Feng Zhang

AbstractA lopsided alternating direction iteration (LADI) method and an induced block diagonal preconditioner for solving block two-by-two generalised saddle point problems are presented. The convergence of the LADI method is analysed, and the block diagonal preconditioner can accelerate the convergence rates of Krylov subspace iteration methods such as GMRES. Our new preconditioned method only requires a solver for two linear equation sub-systems with symmetric and positive definite coefficient matrices. Numerical experiments show that the GMRES with the new preconditioner is quite effective.


1993 ◽  
Vol 38 (4) ◽  
pp. 289-300
Author(s):  
Jim Douglas ◽  
Jeffrey L. Hensley ◽  
Jean E. Roberts

1963 ◽  
Vol 17 (83) ◽  
pp. 279-279
Author(s):  
J. Douglas ◽  
R. B. Kellogg ◽  
R. S. Varga

1963 ◽  
Vol 17 (83) ◽  
pp. 279 ◽  
Author(s):  
J. Douglas ◽  
R. B. Kellogg ◽  
R. S. Varga

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