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Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:  Shen, Yue;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载:190/0  |  提交时间:2020/01/10
Elliptic optimal control problem  Robin boundary control  Adaptive finite element method  Convergence and quasi-optimality  
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:185/0  |  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  
Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
作者:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/25
Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates  
Adaptive finite element method for elliptic optimal control problems: convergence and optimality 期刊论文
NUMERISCHE MATHEMATIK, 2017, 卷号: 135, 期号: 4, 页码: 1121-1170
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 2, 页码: 265-279
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
Time optimal control problems  finite element method  error estimates  
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:98/0  |  提交时间:2018/07/30
optimal control problems  pointwise observations  finite element method  a priori error estimate  a posteriori error estimate  
THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2010, 卷号: 7, 期号: 4, 页码: 681-699
作者:  Zhou, Zhaojie;  Yan, Ningning
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
Local Discontinuous Galerkin method  unsteady convection diffusion equations  constrained optimal control problem  a priori error estimate  
VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 237-253
作者:  Hinze, Michael;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Constrained optimal control problem  Convection dominated diffusion equation  Edge stabilization Galerkin method  Variational discretization  A priori error estimate  A posteriori error estimate  
A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2004, 卷号: 42, 期号: 3, 页码: 1032-1061
作者:  Liu, WB;  Ma, HP;  Tang, T;  Yan, NN
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
optimal control  a posteriori error analysis  finite element approximation  discontinuous Galerkin method  
A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 卷号: 19, 期号: 1-3, 页码: 323-336
作者:  Yan, NN
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
optimal control problem  finite element approximation  a posteriori error estimator  gradient recovery  superconvergence