Variants of the PSS preconditioner for generalized saddle point problems from the Navier-Stokes equations
For researchers solving saddle-point problems in computational fluid dynamics, this offers improved preconditioners, though the improvements are incremental.
The paper presents new preconditioners for generalized saddle-point linear systems from Navier-Stokes equations, achieving better convergence properties and spectrum distributions than existing methods. Numerical experiments demonstrate efficiency.
In this paper, a class of new preconditioners based on matrix splitting are presented for generalized saddle-point linear systems, which can be viewed as further modified improvements of some recently published preconditioners. Moreover, we widen the scope of the new preconditioners to solve the more general but rarely considered saddle-point linear systems with singular leading blocks and rank-deficient off-diagonal blocks. The new variants can result in much better convergence properties and spectrum distributions than the original existing preconditioners. Numerical experiments are used to illustrate the efficiency of the new proposed preconditioners.