期刊论文

Fan, Ronghong

英文

Journal of Computational Physics

0021-9991

2021

430

110098

10.1016/j.jcp.2020.110098

Thanks the anonymous referees for their suggestions and comments to improve the quality of the paper. We also would like to express our gratitude to Prof. Chensong Zhang (Chinese Academy of Sciences) for the discussion on construction of preconditioners and Dr. Sheng Gui (Chinese Academy of Sciences) for constructing the finite element meshes. This work was supported by the National Key Research and Development Program of Ministry of Science and Technology ( 2016YFB0201304 ), the National Natural Science Foundation of China (Grant No. 11701576 , 11501053 and 11771435 , 22073110 ), the Natural Science Foundation of Hunan Province (Grant No. 2019JJ50786 ), and the Education Department of Hunan Province (Grant No. 15C0026 ). Thanks the anonymous referees for their suggestions and comments to improve the quality of the paper. We also would like to express our gratitude to Prof. Chensong Zhang (Chinese Academy of Sciences) for the discussion on construction of preconditioners and Dr. Sheng Gui (Chinese Academy of Sciences) for constructing the finite element meshes. This work was supported by the National Key Research and Development Program of Ministry of Science and Technology (2016YFB0201304), the National Natural Science Foundation of China (Grant No. 11701576, 11501053 and 11771435, 22073110), the Natural Science Foundation of Hunan Province (Grant No. 2019JJ50786), and the Education Department of Hunan Province (Grant No. 15C0026).

本校为其他机构

The Poisson-Nernst-Planck (PNP) equation is one important continuum model for studying charge transport in ion channels, which is a common phenomenon and plays a key role in molecular biosciences. In this paper, to improve the current PNP solvers, according to the equation structure, a new block preconditioner was proposed and proved that the preconditioned linear system has bounded eigenvalues independent of mesh sizes under some conditions, thus guaranteeing that the convergence rate of the preconditioned linear solver is independent of mesh ...