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

文献类型：期刊论文

作者Shen, Jie3; Xu, Jie1,2
刊名NUMERISCHE MATHEMATIK
出版日期2021-05-28
页码27
关键词65M12 35K61 35K55 65Z05 70F99
ISSN号0029-599X
DOI10.1007/s00211-021-01203-w
英文摘要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.
资助项目AFOSR[FA9550-20-1-0309] ; NSF[DMS-2012585] ; NSFC[11688101] ; NSFC[12001524]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000655885900001
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58710]  
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.Chinese Acad Sci, Acad Math & Syst Sci AMSS, Inst Computat Math & Sci Engn Comp ICMSEC, NCMIS, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci AMSS, Inst Computat Math & Sci Engn Comp ICMSEC, LSEC, Beijing 100190, Peoples R China
3.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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