Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate
文献类型：期刊论文
| 作者 | Leonov, Alexander S.2; Wang, Yanfei1; Yagola, Anatoly G.3 |
| 刊名 | INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
 |
| 出版日期 | 2020-04-02 |
| 卷号 | 28期号:4页码:448-458 |
| 关键词 | microtomography regularization a-posteriori error estimates |
| ISSN号 | 1741-5977 |
| DOI | 10.1080/17415977.2018.1561676 |
| 英文摘要 | An inverse microtomography problem is under consideration in a class of functions with bounded V H variation. An algorithm for solving this problem is proposed based on Tikhonov's regularization with a special regularizer. The algorithm ensures piecewise uniform convergence of approximate solutions to exact solution of the inverse problem. In addition, the question of a-posteriori error estimate of approximate solutions obtained is considered. A new numerical algorithm for finding this estimate is proposed. Numerical experiments on solving a model inverse problem on the class of functions with bounded V H variation are presented along with the results of a-posteriori error estimate for approximate solutions obtained. |
| WOS关键词 | BOUNDED VARIATION |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000519343800001 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/95594]  |
| 专题 | 地质与地球物理研究所_中国科学院油气资源研究重点实验室 |
| 通讯作者 | Leonov, Alexander S. |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing, Peoples R China 2.Natl Res Nucl Univ MEPhI, Kashirskoe Sh 31, Moscow 115409, Russia 3.Moscow Lomonosov State Univ, Fac Phys, Dept Math, Moscow, Russia |
| 推荐引用方式 GB/T 7714 | Leonov, Alexander S.,Wang, Yanfei,Yagola, Anatoly G.. Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING,2020,28(4):448-458. |
| APA | Leonov, Alexander S.,Wang, Yanfei,&Yagola, Anatoly G..(2020).Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING,28(4),448-458. |
| MLA | Leonov, Alexander S.,et al."Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate".INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 28.4(2020):448-458. |
入库方式： OAI收割
来源：地质与地球物理研究所
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