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A Priori Error Estimates of a Finite Element Method for Distributed Flux Reconstruction
Li Mingxia1; Li Jingzhi2; Mao Shipeng3
2013
Source PublicationJournal of Computational Mathematics
ISSN0254-9409
Volume31Issue:4Pages:382
AbstractThis 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.
Language英语
Funding Project[NSFC] ; [Fundamental Research Funds for the Central Universities of China]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/37066
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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