A New Variational Approach for Inverse Source Problems
文献类型：期刊论文
| 作者 | Hu, Qiya1,2 ; Shu, Shi3; Zou, Jun4
|
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2019-05-01 |
| 卷号 | 12期号:2页码:331-347 |
| 关键词 | Variational approach inverse source problem stability convergence |
| ISSN号 | 1004-8979 |
| DOI | 10.4208/nmtma.OA-2017-0124 |
| 英文摘要 | We propose a new variational approach for recovering a general source profile in an elliptic system, using measurement data from the interior of the physical domain. The solution of the ill-posed inverse source problem is achieved by solving only one well-posed direct elliptic problem, resulting in the same computational cost as the one for the direct problem, and hence making the whole solution process of the inverse problem much less expensive than most existing methods. The resulting approximate solution is shown to be stable with respect to the change of the noise in the observation data, and a desired error estimate is also established in terms of the mesh size and the noise level in observation data. Numerical experiments are presented to confirm the theoretical predictions. |
| 资助项目 | Natural Science Foundation of China[G11571352] ; NSFC[G11571293] ; Hunan Provincial Civil-Military Integration Industrial Development Project "Adaptive Multilevel Solver and Its Application in ICF Numerical Simulation" ; Hong Kong RGC General Research Fund[14322516] ; Hong Kong RGC General Research Fund[14306814] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000453759200001 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31887]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zou, Jun |
| 作者单位 | 1.Chinese Acad Sci, SLSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Hunan 411105, Peoples R China 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Shu, Shi,Zou, Jun. A New Variational Approach for Inverse Source Problems[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2019,12(2):331-347. |
| APA | Hu, Qiya,Shu, Shi,&Zou, Jun.(2019).A New Variational Approach for Inverse Source Problems.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,12(2),331-347. |
| MLA | Hu, Qiya,et al."A New Variational Approach for Inverse Source Problems".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 12.2(2019):331-347. |
入库方式： OAI收割
来源：数学与系统科学研究院
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