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Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 卷号: 37, 期号: 11, 页码: 1479-1500
作者:  Zhao, Jikun;  Mao, Shipeng;  Zheng, Weiying
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
Automated Parallel and Body-Fitted Mesh Generation in Finite Element Simulation of Macromolecular Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 3, 页码: 582-602
作者:  Xie, Yan;  Liu, Tiantian;  Tu, Bin;  Lu, Benzhuo;  Zhang, Linbo
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Parallel mesh generation  body-fitted  PHG  biomolecules  finite element simulation  
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  
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 264, 页码: 346-358
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
QUASI-OPTIMALITY OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 3, 页码: 970-991
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality  
Convergence analysis of the adaptive finite element method with the red-green refinement 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 2, 页码: 499-512
作者:  Zhao XuYing;  Hu Jun;  Shi ZhongCi
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
red-green refinement  adaptive finite element method  convergence  non-nested local refinement  
A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4639-4659
作者:  Becker, Roland;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
adaptive methods  nonconforming finite elements  a posteriori error estimation  convergence rate  computational complexity  
ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 卷号: 32, 期号: 4, 页码: 2099-2120
作者:  Zhao, Xuying;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
local refinement  adaptive finite element  red-green refinement  enneasection  1-irregular mesh  hanging node  
CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 卷号: 43, 期号: 6, 页码: 1203-1219
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
Adaptive finite elements  a posteriori error analysis  convergence of adaptive algorithms  complexity estimates