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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  
Elastic full waveform inversion on unstructured meshes by the finite element method 期刊论文
PHYSICA SCRIPTA, 2019, 卷号: 94, 期号: 11, 页码: 16
作者:  Zhang, Wensheng
收藏  |  浏览/下载:170/0  |  提交时间:2019/10/28
unstructured triangular meshes  elastic wave  full waveform inversion  finite element method  iterative Tikhonov regularization  irregular topography  conjugate gradient method  
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  
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:824/150  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Modulus-based iterative methods for constrained Tikhonov regularization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 319, 页码: 1-13
作者:  Bai, Zhong-Zhi;  Buccini, Alessandro;  Hayami, Ken;  Reichel, Lothar;  Yin, Jun-Feng;  Zheng, Ning
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Discrete ill-posed problem  Regularization method  Constrained minimization  
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
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载:528/165  |  提交时间:2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Single-particle reconstruction using L-2-gradient flow 期刊论文
JOURNAL OF STRUCTURAL BIOLOGY, 2011, 卷号: 176, 期号: 3, 页码: 259-267
作者:  Li, Ming;  Xu, Guoliang;  Sorzano, Carlos O. S.;  Sun, Fei;  Bajaj, Chandrajit L.
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
L-2-gradient flow  Reconstruction Electron microscopy  Single-particle analysis  
Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 卷号: 3, 期号: 4, 页码: 461-474
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.;  Yang, Xi
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Edge-preserving  image restoration  multiplicative half-quadratic regularization  Newton method  preconditioned conjugate gradient method  constraint preconditioner  eigenvalue bounds  
Convergence of fixed point iteration for deblurring and denoising problem 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 189, 期号: 2, 页码: 1178-1185
作者:  Shi, Yuying;  Chang, Qianshun;  Xu, Jing
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
deblurring  denoising  fixed point iteration  Bergman distance  Weiszfeld's method