Zhiru Ren, Associate Professor, School of Statistics and Mathematics, Central University of Finance and Economics

Zhongzhi Bai, Professor

On Preconditioned Iteration Methods for Saddle Point Problems from Eddy Current Models

10:00-11:00 October 1(Saturday), Tencent Meeting ID: 868-725-131

For the saddle point problem arising from the finite element discretization of the hybrid formulation of the time-harmonic eddy current problem, we present several different splitting preconditioners which are based on splittings of the saddle point matrix. We analyze the convergences of the corresponding splitting iteration methods, and discuss the computing procedures which is much easier to implement than the existing preconditioners when they are used to accelerate the convergence rate of Krylov subspace methods such as GMRES. Numerical examples are given to show the effectiveness of our proposed preconditioners.