A Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction

	A Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction
	Li Mingxia 1; Li Jingzhi 2; Mao Shipeng3
	2013
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	31 期号:4 页码:382
摘要	This paper is concerned with a priori error estimates of a finite element method for numerical reconstruction of some unknown distributed flux in an inverse heat conduction problem. More precisely, some unknown distributed Neumann data are to be recovered on the interior inaccessible boundary using Dirichlet measurement data on the outer accessible boundary. The main contribution in this work is to establish the some a priori error estimates in terms of the mesh size in the domain and on the accessible/inaccessible boundaries, respectively, for both the temperature u and the adjoint state p under the lowest regularity assumption. It is revealed that the lower bounds of the convergence rates depend on the geometry of the domain. These a priori error estimates are of immense interest by themselves and pave the way for proving the convergence analysis of adaptive techniques applied to a general classes of inverse heat conduction problems. Numerical experiments are presented to verify our theoretical prediction.
语种	英语
资助项目	[NSFC] ; [Fundamental Research Funds for the Central Universities of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37066
专题	计算数学与科学工程计算研究所
作者单位	1.中国地质大学 2.南方科技大学 3.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Li Mingxia,Li Jingzhi,Mao Shipeng. A Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction[J]. Journal of Computational Mathematics,2013,31(4):382.
APA	Li Mingxia,Li Jingzhi,&Mao Shipeng.(2013).A Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction.Journal of Computational Mathematics,31(4),382.
MLA	Li Mingxia,et al."A Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction".Journal of Computational Mathematics 31.4(2013):382.