Generalized Iterative Methods for Solving Double Saddle Point Problem

Generalized Iterative Methods for Solving Double Saddle Point Problem

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In this paper, we develop some stationary iterative schemes in block forms for solving double saddle point problem.To this end, we first generalize the Jacobi iterative method and study its convergence under certain condition.Moreover, using a relaxation parameter, the weighted version of the Jacobi method together with its convergence analysis are considered.Furthermore, we extend a method from the 8056597586030 class of Gauss-Seidel iterative method and establish its convergence properties under a certain condition.In addition, the block successive overrelaxation (SOR) method is used to construct an iterative scheme to solve the mentioned double saddle point problem and its convergence properties are analyzed.

In order to illustrate the efficiency of the proposed methods, we report some numerical experiments for a class of saddle point problems arising from the modeling of liquid harmoni headband crystal directors using finite elements./files/site1/files/52/2.pdf.