A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM

	A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM
	Talaat Abdelhamid; Xiaomao Deng; Rongliang Chen
刊名	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
	2017
文献子类	期刊论文
英文摘要	This paper studies a regularization approach for simultaneously reconstructing spacetime dependent Robin coefficient (x, t) and heat flux q(x, t). The differentiability results and adjoint systems are established. A standard finite element method (FEM) is employed to discretize the constrained optimization problem which is reduced to a sequence of unconstrained optimization problem by adding regularization terms. We propose an improved algorithm for the introduced problem based on modified conjugate gradient method (MCGM) for quadratic minimization. Numerical experiments present the efficiency, accuracy, and robustness of the proposed algorithm.
URL标识	查看原文
语种	英语
WOS记录号	WOS:000429094100007
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/12582]
专题	深圳先进技术研究院_数字所
作者单位	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
推荐引用方式 GB/T 7714	Talaat Abdelhamid,Xiaomao Deng,Rongliang Chen. A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2017.
APA	Talaat Abdelhamid,Xiaomao Deng,&Rongliang Chen.(2017).A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING.
MLA	Talaat Abdelhamid,et al."A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING (2017).