A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation

doi:10.1016/j.cam.2008.07.024

	A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation
	Yang, Ying 2; Zhou, Aihui1
	2009-03-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	225 期号:1 页码:202-212
摘要	In this paper, a finite element recovery approach is proposed to improve the accuracy of finite element approximations for Green's functions in three dimensions. This recovery approach is based on some simple postprocessing. It is proved by both theory and numerics that the recovery approach is very efficient. In particular, the approach is successfully applied to some electrostatic potential computations. (C) 2008 Elsevier B.V. All rights reserved.
关键词	Finite element Green's function Recovery approach Three dimensions Electrostatic potential Poisson-Boltzmann equation
DOI	10.1016/j.cam.2008.07.024
语种	英语
资助项目	National Science Foundation of China[10425105] ; National Basic Research Program[2005CB321704]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000263852100019
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8937
专题	计算数学与科学工程计算研究所
通讯作者	Zhou, Aihui
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Guilin Univ Elect Technol, Dept Math & Computat Sci, Guangxi 541004, Peoples R China
推荐引用方式 GB/T 7714	Yang, Ying,Zhou, Aihui. A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,225(1):202-212.
APA	Yang, Ying,&Zhou, Aihui.(2009).A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,225(1),202-212.
MLA	Yang, Ying,et al."A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 225.1(2009):202-212.