Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system

	Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system
	Talaat Abdelhamid
刊名	Journal of Computational and Applied Mathematics
	2018
文献子类	期刊论文
英文摘要	This paper aims to simultaneously identify the spatio-temporal dependent heat transfer coefficient γ (x, t) and the spatially dependent heat flux q(x) in a parabolic system. The simultaneous identification problem is formulated as a constrained minimization problem using the output least squares method with Tikhonov regularization. The differentiability of the solution and adjoint equations are investigated to obtain the gradient formulae and determine the step lengths, respectively. To illustrate the efficiency, accuracy, and robustness of the proposed algorithm, numerical results are investigated using the modified conjugate gradient method (MCGM).
URL标识	查看原文
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/12583]
专题	深圳先进技术研究院_数字所
作者单位	Journal of Computational and Applied Mathematics
推荐引用方式 GB/T 7714	Talaat Abdelhamid. Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system[J]. Journal of Computational and Applied Mathematics,2018.
APA	Talaat Abdelhamid.(2018).Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system.Journal of Computational and Applied Mathematics.
MLA	Talaat Abdelhamid."Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system".Journal of Computational and Applied Mathematics (2018).