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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  
RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 1, 页码: 55-71
作者:  Liu, Tang;  Yan, Ningning;  Zhang, Shuhua
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Optimal control problem  Finite element methods  Asymptotic error expansions  Defect correction  A posteriori error estimates  
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：102/0  |  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 NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 97-114
作者:  Liu, Wenbin;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Optimal control problem  State-constraints  Fourth order variational inequalities  Nonconforming finite element method  
The relaxing schemes for Hamilton-Jacobi equations 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 卷号: 19, 期号: 3, 页码: 231-240
作者:  Tang, HZ;  Wu, HM
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
the relaxing scheme  the relaxing systems  Hamilton-Jacobi equation  hyperbolic conservation laws