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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:184/0  |  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  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
作者:  Wang, Fei;  Zhang, Shuo
收藏  |  浏览/下载:131/0  |  提交时间:2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element  
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:108/0  |  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  
P-1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for elliptic problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 1, 页码: 59-80
作者:  Man, FY;  Shi, ZC
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
finite volume element method  cascadic multigrid  elliptic problems  
The mortar element method for a nonlinear biharmonic equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2005, 卷号: 23, 期号: 5, 页码: 537-560
作者:  Shi, ZC;  Xu, XJ
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
mortar method  nonlinear biharmonic equation  H-1-norm error  energy norm error  
An h-based A-phi method with a nonmatching grid for eddy current problem with discontinuous coefficients 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2004, 卷号: 22, 期号: 6, 页码: 881-894
作者:  Kang, T;  Wu, ZP;  Yu, DH
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
eddy current problem  finite element A-phi method  nomnatching meshes  error estimates  
Domain decomposition methods with nonmatching grids for the unilateral problem 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 卷号: 20, 期号: 2, 页码: 197-206
作者:  Luo, P;  Liang, GP
收藏  |  浏览/下载:79/0  |  提交时间:2018/07/30
domain decomposition  variational inequality  global superconvergence  nonmatching grids  
Error analysis and global superconvergences for the Signorini problem with Lagrange multiplier methods 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 卷号: 20, 期号: 1, 页码: 79-88
作者:  Luo, P;  Liang, GP
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Lagrange multipliers  elastic contact  error estimates  superconvergences