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《Journal of Neijiang Normal University》 2014-08
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A Splitting Preconditioner for Generalized Saddle Point Problems

LUO Wei-hua;YANG Ming-qin;SONG Xin;CHENG Dan;Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science,Neijiang Normal University;  
Based on the parameterized Uzawa methods,a new preconditioner for generalized saddle point problems is worked out.An analysis of the pretreated matrix finds that the eigenvalues of the preconditioned matrix will cluster about 0 and1 when the parameter t→0.Consequently,on the condition of the proper selection of a parameter,it can ensure a satisfactory convergence when some GMRES iterative methods are used in Krylov subspace.Numerical results of some Navier-Stokes problems are presented to illustrate the actual effect of the preconditioner.
【Fund】: 四川高校数值仿真与数学实验教学示范中心项目(01249)
【CateGory Index】: O241.6
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