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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
Authors:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
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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
Authors:  Zhao, Jikun;  Mao, Shipeng;  Zheng, Weiying
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magnetohydrodynamic (MHD) flow  posteriori error estimate  anisotropic adaptive finite element method (FEM)  
A new parallelization scheme for adaptive mesh refinement 期刊论文
JOURNAL OF COMPUTATIONAL SCIENCE, 2016, 卷号: 16, 页码: 79-88
Authors:  Loffler, Frank;  Cao, Zhoujian;  Brandt, Steven R.;  Du, Zhihui
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Parallel application frameworks  Parallel algorithms  Parallel applications  Adaptive mesh refinement  
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
Authors:  Xie, Yan;  Liu, Tiantian;  Tu, Bin;  Lu, Benzhuo;  Zhang, Linbo
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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
Authors:  Huang, Feiteng;  Xie, Xiaoping;  Zhang, Chensong
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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
Authors:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
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Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
AN ADAPTIVE FAST INTERFACE TRACKING METHOD 期刊论文
Journal of Computational Mathematics, 2015, 卷号: 33, 期号: 6, 页码: 576
Authors:  Di Yana;  Jelena Popovic;  Olof Runborg
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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
Authors:  Becker, Roland;  Mao, Shipeng
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adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality  
An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 8, 期号: 3, 页码: 511-540
Authors:  Wang, Duan;  Li, Ruo;  Yan, Ningning
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Adaptive finite element method  anisotropic mesh refinement  elliptic interface problem  non-homogeneous jump  a posteriori error estimate  
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
Authors:  Zhao XuYing;  Hu Jun;  Shi ZhongCi
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red-green refinement  adaptive finite element method  convergence  non-nested local refinement