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Two-scale finite element Green's function approximations with applications to electrostatic potential computation
Yang, Ying1; Zhou, Aihui2
2010-02-01
发表期刊JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
卷号23期号:1页码:177-193
摘要In this paper, a two-scale finite element approach is proposed and analyzed for approximations of Green's function in three-dimensions. This approach is based on a two-scale finite element space defined, respectively, on the whole domain with size H and on some subdomain containing singular points with size h (h a parts per thousand(a) H). It is shown that this two-scale discretization approach is very efficient. In particular, the two-scale discretization approach is applied to solve Poisson-Boltzmann equations successfully.
关键词Error analysis finite element Green's function Poisson-Boltzmann equation two-scale
DOI10.1007/s11424-010-9274-3
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Interdisciplinary Applications
WOS记录号WOS:000274950400014
出版者SPRINGER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/10835
专题计算数学与科学工程计算研究所
通讯作者Yang, Ying
作者单位1.Guilin Univ Elect Technol, Dept Computat Sci & Math, Guilin 541004, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
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Yang, Ying,Zhou, Aihui. Two-scale finite element Green's function approximations with applications to electrostatic potential computation[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2010,23(1):177-193.
APA Yang, Ying,&Zhou, Aihui.(2010).Two-scale finite element Green's function approximations with applications to electrostatic potential computation.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,23(1),177-193.
MLA Yang, Ying,et al."Two-scale finite element Green's function approximations with applications to electrostatic potential computation".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 23.1(2010):177-193.
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