A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS

doi:10.4208/jcm.1904-m2018-0181

CSpace

	A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS
	Yang, Ying 1; Lu, Benzhuo 2; Xie, Yan 3
	2019
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	37 期号:4 页码:556-578
摘要	Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poisson-Nernst-Planck equations by coarse grid finite element approximations. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid algorithms for solving Poisson-Nernst-Planck equations.
关键词	Poisson-Nernst-Planck equations Two-grid finite element method Decoupling method Error analysis Gummel iteration
DOI	10.4208/jcm.1904-m2018-0181
收录类别	SCI
语种	英语
资助项目	Science Challenge Program[TZ2016003] ; National Key Research and Development Program of China[2016YFB0201304] ; China NSF[NSFC 11561016] ; China NSF[NSFC 11661027] ; China NSF[NSFC 11561015] ; China NSF[NSFC 21573274] ; China NSF[11771435] ; Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation open project fund ; Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000524136400008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51173
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Ying
作者单位	1.Guilin Univ Elect Technol, Sch Math & Comp Sci, Guangxi Coll & Univ Key Lab Data Anal & Computat, Guilin 541004, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Natl Ctr Math & Interdisciplinary Sci,LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Ying,Lu, Benzhuo,Xie, Yan. A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2019,37(4):556-578.
APA	Yang, Ying,Lu, Benzhuo,&Xie, Yan.(2019).A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,37(4),556-578.
MLA	Yang, Ying,et al."A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 37.4(2019):556-578.