Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations

doi:10.1007/s00211-021-01203-w

CSpace

	Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
	Shen, Jie 1; Xu, Jie 2,3
	2021-05-28
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
页码	27
摘要	We develop a set of numerical schemes for the Poisson-Nernst-Planck equations. We prove that our schemes are mass conservative, uniquely solvable and keep positivity unconditionally. Furthermore, the first-order scheme is proven to be unconditionally energy dissipative. These properties hold for various spatial discretizations. Numerical results are presented to validate these properties. Moreover, numerical results indicate that the second-order scheme is also energy dissipative, and both the first- and the second-order scheme preserves the maximum principle for cases where the equation satisfies the maximum principle.
关键词	65M12 35K61 35K55 65Z05 70F99
DOI	10.1007/s00211-021-01203-w
收录类别	SCI
语种	英语
资助项目	AFOSR[FA9550-20-1-0309] ; NSF[DMS-2012585] ; NSFC[11688101] ; NSFC[12001524]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000655885900001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58711
专题	中国科学院数学与系统科学研究院
通讯作者	Shen, Jie
作者单位	1.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 2.Chinese Acad Sci, Acad Math & Syst Sci AMSS, Inst Computat Math & Sci Engn Comp ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci AMSS, Inst Computat Math & Sci Engn Comp ICMSEC, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shen, Jie,Xu, Jie. Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations[J]. NUMERISCHE MATHEMATIK,2021:27.
APA	Shen, Jie,&Xu, Jie.(2021).Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations.NUMERISCHE MATHEMATIK,27.
MLA	Shen, Jie,et al."Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations".NUMERISCHE MATHEMATIK (2021):27.