KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 1009-6124 |
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 |
DOI | 10.1007/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 |
推荐引用方式 GB/T 7714 | 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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