A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations

doi:10.1016/j.aml.2020.106652

CSpace

	A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations
	Wang, Qin 1,2; Li, Hongliang 3; Zhang, Linbo 1,2; Lu, Benzhuo 1,2
	2021
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	111 页码:9
摘要	The Poisson-Nernst-Planck (PNP) model characterizing the electro-diffusion process is widely used in ion channel simulations. The standard finite element method often fails to converge, due to complicated geometries, strong fixed charges and huge bias of electric potentials or ion concentrations. We propose a novel stabilized finite element method named SUPG-IP, which inherits the upwind characteristic of the streamline-upwind/Petrov-Galerkin (SUPG) method and the smoothing effect of the interior penalty method. Numerical experiments have demonstrated that the SUPG-IP method has much better performance in positivity preserving and robustness than the standard FE and SUPG methods. Especially, the benchmark simulation of the KcsA ion channel implies that the SUPG-IP method still converges successfully under an unprecedented range of membrane potentials and ion concentrations, while the SUPG method diverges. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Poisson-Nernst-Planck Stabilized finite element method SUPG interior penalty
DOI	10.1016/j.aml.2020.106652
收录类别	SCI
语种	英语
资助项目	Science Challenge Project[TZ2016003] ; National Key Research and Development Program of China[2016YFB0201304] ; National Natural Science Foundation of China[21573274] ; National Natural Science Foundation of China[11771435]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000571465000009
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52239
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Hongliang; Lu, Benzhuo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China
推荐引用方式 GB/T 7714	Wang, Qin,Li, Hongliang,Zhang, Linbo,et al. A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations[J]. APPLIED MATHEMATICS LETTERS,2021,111:9.
APA	Wang, Qin,Li, Hongliang,Zhang, Linbo,&Lu, Benzhuo.(2021).A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations.APPLIED MATHEMATICS LETTERS,111,9.
MLA	Wang, Qin,et al."A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations".APPLIED MATHEMATICS LETTERS 111(2021):9.