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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：143/0  |  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：129/0  |  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  
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
作者:  Gong, Wei;  Zhu, Shengfeng
收藏  |  浏览/下载：137/0  |  提交时间：2021/10/26
shape optimization  shape gradient  boundary formulation  boundary correction  a priori error estimate  finite element  
HETEROGENEOUS MULTISCALE METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY ELLIPTIC EQUATIONS WITH HIGHLY OSCILLATORY COEFFICIENTS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 644-660
作者:  Ge, Liang;  Yan, Ningning;  Wang, Lianhai;  Liu, Wenbin;  Yang, Danping
收藏  |  浏览/下载：186/0  |  提交时间：2019/03/05
Constrained convex optimal control  Heterogeneous multiscale finite element  A priori error estimate  Elliptic equations with highly oscillatory coefficients  
Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 453, 期号: 1, 页码: 529-557
作者:  Chang, Lili;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Dirichlet boundary control  Weak boundary penalization  Finite element method  A priori error estimate  
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 3, 页码: 941-967
作者:  Gong, Wei;  Hinze, Michael;  Zhou, Zhaojie
收藏  |  浏览/下载：152/0  |  提交时间：2018/07/30
Optimal control problem  Parabolic equation  Finite element method  A priori error estimate  Dirichlet boundary control  
Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:  Zhou, Zhaojie;  Gong, Wei
收藏  |  浏览/下载：133/0  |  提交时间：2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization  
Numerical analysis for the approximation of optimal control problems with pointwise observations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 卷号: 38, 期号: 18, 页码: 4502-4520
作者:  Chang, Lili;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
optimal control problems  pointwise observations  finite element method  a priori error estimate  a posteriori error estimate  
Robust error estimates for the finite element approximation of elliptic optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 236, 期号: 6, 页码: 1370-1381
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Optimal control problem  Bang-bang control  Finite element method  A priori error estimate  A posteriori error estimate  
MIXED FINITE ELEMENT METHOD FOR DIRICHLET BOUNDARY CONTROL PROBLEM GOVERNED BY ELLIPTIC PDES 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 卷号: 49, 期号: 3, 页码: 984-1014
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
optimal control problem  Dirichlet boundary control  mixed finite element  a priori error estimate