An improved error analysis for finite element approximation of bioluminescence tomography

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	An improved error analysis for finite element approximation of bioluminescence tomography
	Gong, Wei ; Li, Ruo 2,3; Yan, Ningning1 ; Zhao, Weibo 3
	2008-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	26 期号:3 页码:297-309
摘要	This paper is concerned with an ill-posed problem which results from the area of molecular imaging and is known as BLT problem. Using Tikhonov regularization technique, a quadratic optimization problem can be formulated. We provide an improved error estimate for the finite element approximation of the regularized optimization problem. Some numerical examples are presented to demonstrate our theoretical results.
关键词	BLT problem Tikhonov regularization optimization problem a priori error estimate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000256648500004
出版者	VSP 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/5494
专题	系统科学研究所
通讯作者	Gong, Wei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100080, Peoples R China 2.Peking Univ, LMAM, CAPT, Beijing 100871, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Gong, Wei,Li, Ruo,Yan, Ningning,et al. An improved error analysis for finite element approximation of bioluminescence tomography[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(3):297-309.
APA	Gong, Wei,Li, Ruo,Yan, Ningning,&Zhao, Weibo.(2008).An improved error analysis for finite element approximation of bioluminescence tomography.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(3),297-309.
MLA	Gong, Wei,et al."An improved error analysis for finite element approximation of bioluminescence tomography".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.3(2008):297-309.