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STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
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：112/0  |  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：149/0  |  提交时间：2018/07/30
Optimal control problem  Parabolic equation  Finite element method  A priori error estimate  Dirichlet boundary control  
AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2016, 卷号: 34, 期号: 4, 页码: 339-364
作者:  Huang, Feiteng;  Xie, Xiaoping;  Zhang, Chensong
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Hybrid stress element  Transition element  Adaptive method  Quadrilateral mesh  Poisson-locking  Plane elasticity  
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：125/0  |  提交时间：2018/07/30
Time optimal control problems  finite element method  error estimates  
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：130/0  |  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：97/0  |  提交时间：2018/07/30
optimal control problems  pointwise observations  finite element method  a priori error estimate  a posteriori error estimate  
Global small solutions of 2-D incompressible MHD system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5440-5485
作者:  Lin, Fanghua;  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载：124/0  |  提交时间：2018/07/30
Inviscid MHD system  Anisotropic Littlewood-Paley theory  Dissipative estimates  Lagrangian coordinates  
AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2015, 卷号: 12, 期号: 3, 页码: 567-591
作者:  Chen, Zhiming;  Wu, Zedong;  Xiao, Yuanming
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Immersed finite element  adaptive  a posteriori error estimate  time variable domain