Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion
文献类型：期刊论文
| 作者 | He,Qinglong1,3,4; Wang,Yanfei1,2,4 |
| 刊名 | Inverse Problems
 |
| 出版日期 | 2020-10-23 |
| 卷号 | 36期号:11 |
| 关键词 | inexact Newton-type methods Lanczos orthonormal method full waveform inversion Krylov subspace methods adjoint-state method |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/1361-6420/abb8ea |
| 英文摘要 | AbstractThe second-order derivative information plays an important role for large-scale full waveform inversion problems. However, exploiting this information requires massive computations and memory requirements. In this study, we develop two inexact Newton methods based on the Lanczos tridiagonalization process to consider the second-order derivative information. Several techniques are developed to improve the computational performance for our proposed methods. We present an effective stopping condition and implement a nonmonotone line search method. A method based on the adjoint-state method is used to efficiently compute Hessian-vector products. In addition, a diagonal preconditioner using the pseudo-Hessian matrix is employed to accelerate solving the Newton equation. Furthermore, we combine these two inexact Newton methods to improve the computational efficiency and the resolution. 2D and 3D experiments are given to demonstrate the convergence and effectiveness of our proposed methods. Numerical results indicate that, compared with the inversion methods based on the first-order derivative, both methods have good computational efficiency. Meanwhile, the method based on MINRES solver performs better than the method with Lanczos_CG due to its ability of utilizing the negative eigenvalue information when solving strongly nonlinear and ill-posed problems. |
| 语种 | 英语 |
| WOS记录号 | IOP:0266-5611-36-11-ABB8EA |
| 出版者 | IOP Publishing |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/98673]  |
| 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 |
| 作者单位 | 1.University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China 2.Innovation Academy of Earth Science, Chinese Academy of Sciences, Beijing 100029, People’s Republic of China 3.School of Mathematics and Statistics, Guizhou University, GuiYang 550025, People’s Republic of China 4.Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, People’s Republic of China |
| 推荐引用方式 GB/T 7714 | He,Qinglong,Wang,Yanfei. Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion[J]. Inverse Problems,2020,36(11). |
| APA | He,Qinglong,&Wang,Yanfei.(2020).Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion.Inverse Problems,36(11). |
| MLA | He,Qinglong,et al."Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion".Inverse Problems 36.11(2020). |
入库方式： OAI收割
来源：地质与地球物理研究所
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