A note on preconditioner for the Ohta-Kawasaki equation

作者:Li, Rui-Xia; Liang, Zhao-Zheng; Zhang, Guo-Feng*; Liao, Li-Dan; Zhang, Lei
来源:Applied Mathematics Letters, 2018, 85: 132-138.
DOI:10.1016/j.aml.2018.06.006

摘要

In this paper, an efficient preconditioner is proposed for the discrete Ohta-Kawasaki system. We show that the eigenvalues of the new preconditioned matrix are the same as that of the recently published block triangular preconditioner in [P. E. Farrell, J. W. Pearson, SIAM J. Matrix Anal. Appl. 38(1) (2017) 217-225]. Numerical experiments are presented to illustrate the effectiveness and feasibility of the new preconditioner to accelerate GMRES method.