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Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
Authors:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
Favorite  |  View/Download：69/0  |  Submit date：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276. 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
Authors:  Gong,Wei;  Tan,Zhiyu;  Zhou,Zhaojie
Favorite  |  View/Download：69/0  |  Submit date：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 82, 期号: 4, 页码: 1113-1134
Authors:  Li, Jianliang;  Li, Peijun;  Wang, Xu
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Key words  inverse source problem  stochastic wave equation  Gaussian random field  pseudodifferential operator  far-field pattern  uniqueness  
Inverse elastic scattering problems with phaseless far field data 期刊论文
Inverse Problems, 2019, 卷号: 35, 期号: 11
Authors:  Ji,Xia;  Liu,Xiaodong
Favorite  |  View/Download：96/0  |  Submit date：2019/12/13
elastic scattering  phaseless far field data  uniqueness  phase retrieval  direct sampling methods  
A New Variational Approach for Inverse Source Problems 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 2, 页码: 331-347
Authors:  Hu, Qiya;  Shu, Shi;  Zou, Jun
Favorite  |  View/Download：119/0  |  Submit date：2019/03/05
Variational approach  inverse source problem  stability  convergence  
INVERSE ELECTROMAGNETIC SOURCE SCATTERING PROBLEMS WITH MULTIFREQUENCY SPARSE PHASED AND PHASELESS FAR FIELD DATA 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: B1368-B1388
Authors:  Ji, Xia;  Liu, Xiaodong
Favorite  |  View/Download：110/0  |  Submit date：2020/09/23
electromagnetic source scattering  phaseless far field data  uniqueness  phase retrieval  direct sampling methods  
INVERSE SOURCE PROBLEMS IN ELECTRODYNAMICS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2018, 卷号: 12, 期号: 6, 页码: 1411-1428
Authors:  Hu, Guanghui;  Li, Peijun;  Liu, Xiaodong;  Zhao, Yue
Favorite  |  View/Download：197/0  |  Submit date：2018/11/16
Stability  uniqueness  inverse source problem  Maxwell's equations  
Inverse random source scattering for the Helmholtz equation in inhomogeneous media 期刊论文
INVERSE PROBLEMS, 2018, 卷号: 34, 期号: 1, 页码: 19
Authors:  Li, Ming;  Chen, Chuchu;  Li, Peijun
Favorite  |  View/Download：98/0  |  Submit date：2018/07/30
inverse source scattering problem  the Helmholtz equation  stochastic partial differential equation  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
View  |  Adobe PDF(475Kb)  |  Favorite  |  View/Download：334/91  |  Submit date：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
INVERSE RANDOM SOURCE SCATTERING FOR ELASTIC WAVES 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 2616-2643
Authors:  Bao, Gang;  Chen, Chuchu;  Li, Peijun
Favorite  |  View/Download：80/0  |  Submit date：2018/07/30
inverse source scattering problem  elastic wave equation  stochastic partial differential equation  Fredholm integral equation