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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
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载：137/0  |  提交时间：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
作者:  Gong,Wei;  Tan,Zhiyu;  Zhou,Zhaojie
收藏  |  浏览/下载：125/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
STOCHASTIC CONVERGENCE OF REGULARIZED SOLUTIONS AND THEIR FINITE ELEMENT APPROXIMATIONS TO INVERSE SOURCE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 2, 页码: 751-780
作者:  CHEN, Z. H. I. M. I. N. G.;  ZHANG, W. E. N. L. O. N. G.;  ZOU, J. U. N.
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
inverse source problems  regularization  finite element approximation  stochastic error estimates  
Accurate AM-FM signal demodulation and separation using nonparametric regularization method 期刊论文
SIGNAL PROCESSING, 2021, 卷号: 186, 页码: 12
作者:  Hu, Xiyuan;  Peng, Silong;  Guo, Baokui;  Xu, Pengcheng
收藏  |  浏览/下载：143/0  |  提交时间：2021/10/26
Nonparametric regularization method  AM-FM signal  Null space pursuit (NSP)  Differential equation  Signal demodulation and separation  
Sparse system identification for stochastic systems with general observation sequences 期刊论文
AUTOMATICA, 2020, 卷号: 121, 页码: 13
作者:  Zhao, Wenxiao;  Yin, George;  Bai, Er-Wei
收藏  |  浏览/下载：167/0  |  提交时间：2021/01/14
Stochastic system  Sparse identification  Feedback control  Strong consistency  
Quantum tomography by regularized linear regressions 期刊论文
AUTOMATICA, 2020, 卷号: 114, 页码: 15
作者:  Mu, Biqiang;  Qi, Hongsheng;  Petersen, Ian R.;  Shi, Guodong
收藏  |  浏览/下载：158/0  |  提交时间：2020/05/24
Quantum state tomography  Linear regression  Regularization  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：181/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
A Mixed Regularization Method for Ill-Posed Problems 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 卷号: 12, 期号: 1, 页码: 212-232
作者:  Zheng, Hui;  Zhang, Wensheng
收藏  |  浏览/下载：233/0  |  提交时间：2018/11/16
Ill-posedness  continuous regularization  iterative regularization  mixed regularization  optimal order  
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
作者:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：826/150  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound