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Convergence of adaptive nonconforming finite element method for Stokes optimal control problems
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:
Shen, Yue
;
Gong, Wei
;
Yan, Ningning
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浏览/下载:9/0
  |  
提交时间:2023/02/07
Optimal control problem
Stokes equations
Control constraints
Adaptive nonconforming finite element method
Convergence and quasi-optimality
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
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  |  
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
Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation
期刊论文
FRACTAL AND FRACTIONAL, 2021, 卷号: 5, 期号: 4
作者:
Li, Dun-Gang
;
Fu, Jun-Liang
;
Yang, Fan
;
Li, Xiao-Xiao
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浏览/下载:7/0
  |  
提交时间:2022/03/01
Rayleigh-Stokes equation
ill-posed problem
identifying the initial value problem
Landweber iterative regularization method
Fractional Landweber Iterative Regularization Method for Identifying the Unknown Source of the Time-Fractional Diffusion Problem
期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2021, 卷号: 175, 期号: 1
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Fan, Ping
;
Li, Xiao-Xiao
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浏览/下载:3/0
  |  
提交时间:2021/12/17
Time-fractional diffusion equation
Ill-posed problem
Unknown source
Fractional Landweber iterative method
Prediction and Source Contribution Analysis of PM2.5 Using a Combined FLEXPART Model and Bayesian Method over the Beijing-Tianjin-Hebei Region in China
期刊论文
ATMOSPHERE, 2021, 卷号: 12, 期号: 7, 页码: 16
作者:
Guo, Lifeng
;
Chen, Baozhang
;
Zhang, Huifang
;
Fang, Jingchun
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浏览/下载:110/0
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提交时间:2021/11/05
PM2 5
forecast
source contribution
FLEXPART
Bayesian
Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: Optimal error bound analysis and regularization method
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 8, 页码: -
作者:
Yang, Fan
;
Sun, Qiao-Xi
;
Li, Xiao-Xiao
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浏览/下载:11/0
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提交时间:2021/03/12
Errors
Initial value problems
Iterative methods
Numerical methods
Parameterization
Partial differential equations
Bessel operators
Error estimates
Exact solution
Iterative regularization
Optimal error bound
Regularization methods
Regularization parameters
Time fractional diffusion equation
A fractional Landweber iterative regularization method for stable analytic continuation
期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 1, 页码: 404-419
作者:
Yang, Fan
;
Wang, Qianchao
;
Li, Xiaoxiao
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浏览/下载:6/0
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提交时间:2021/03/12
stable analytic continuation
fractional Landweber regularization method
III-posed problem
inverse problem
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:
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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
Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation
期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 9, 页码: 10327-10342
作者:
Li, Dun-Gang
;
Yang, Fan
;
Fan, Ping
;
Li, Xiao-Xiao
;
Huang, Can-Yun
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  |  
浏览/下载:6/0
  |  
提交时间:2021/10/14
modified Helmholtz equation
ill-posed problem
posteriori regularization parameter choice rule
Landweber iterative method
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