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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
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浏览/下载:13/0
  |  
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:14/0
  |  
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
An adaptive high-order unfitted finite element method for elliptic interface problems
期刊论文
NUMERISCHE MATHEMATIK, 2021, 卷号: 149, 期号: 3, 页码: 507-548
作者:
Chen, Zhiming
;
Li, Ke
;
Xiang, Xueshuang
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
65N30
An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 35
作者:
Jiang, Xue
;
Li, Peijun
;
Lv, Junliang
;
Wang, Zhoufeng
;
Wu, Haijun
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
Maxwell's equations
diffractive grating problem
biperiodic structures
adaptive finite element method
transparent boundary condition
a posteriori error estimate
A potential-free field inverse time-fractional Schrödinger problem: Optimal error bound analysis and regularization method
期刊论文
Mathematical Methods in the Applied Sciences, 2021, 卷号: 44, 期号: 2, 页码: 1219-1251
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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  |  
浏览/下载:5/0
  |  
提交时间:2020/12/18
Errors
Numerical methods
ParameterizationConvergence errors
Free fields
Inverse-time
Modified kernels
Optimal error bound
Priori bounds
Regularization methods
Regularization parameters
A potential-free field inverse time-fractional Schrodinger problem: Optimal error bound analysis and regularization method
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 2, 页码: 1219-1251
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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  |  
浏览/下载:7/0
  |  
提交时间:2021/03/12
FOURIER REGULARIZATION
DECOMPOSITION METHOD
GLOBAL UNIQUENESS
QUANTUM-MECHANICS
UNKNOWN SOURCE
WAVE-EQUATION
COEFFICIENTS
DIRICHLET
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2040-2084
作者:
Yang, Fan
;
Wang, Qian-Chao
;
Li, Xiao-Xiao
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  |  
浏览/下载:12/0
  |  
提交时间:2021/06/03
Inverse problem
Caputo-Fabrizio fractional derivative
space-time fractional diffusion equation
optimal error bound
unknown source identification
A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method
期刊论文
Inverse Problems in Science and Engineering, 2020, 卷号: 28, 期号: 9, 页码: 1209-1252
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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浏览/下载:5/0
  |  
提交时间:2020/11/14
Dynamic loads
Errors
Iterative methods
Numerical methods
Parameterization
Free fields
Ill posed problem
Iterative regularization
Modified kernels
Optimal error bound
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
期刊论文
NUMERICAL ALGORITHMS, 2020, 卷号: 83, 期号: 4, 页码: 1509-1530
作者:
Yang, Fan
;
Zhang, Yan
;
Li, Xiao-Xiao
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  |  
浏览/下载:7/0
  |  
提交时间:2020/06/02
Initial value problem
Time-space fractional diffusion-wave equation
Landweber iterative regularization method
Error estimate
Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 卷号: 2020, 期号: 1
作者:
Yang, Fan
;
Zhang, Pan
;
Li, Xiao-Xiao
;
Ma, Xin-Yi
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  |  
浏览/下载:5/0
  |  
提交时间:2020/06/02
Time-fractional diffusion equation
Ill-posed problem
Regularization method
Error estimate
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