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IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
Authors:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
Favorite  |  View/Download：23/0  |  Submit date：2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
Peridynamic modeling with energy-based surface correction for fracture simulation of random porous materials 期刊论文
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2021, 卷号: 114, 页码: 13
Authors:  Shen, Shangkun;  Yang, Zihao;  Han, Fei;  Cui, Junzhi;  Zhang, Jieqiong
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The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 217, 页码: 10
Authors:  Wang, Zhenyu;  He, Qiaolin;  Huang, Jizu
Favorite  |  View/Download：97/0  |  Submit date：2021/04/26
Solid-fluid interaction problem  Lattice Boltzmann equations  Navier-slip boundary condition  Immerse boundary method  
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
Authors:  Gong, Wei;  Zhu, Shengfeng
Favorite  |  View/Download：91/0  |  Submit date：2021/10/26
shape optimization  shape gradient  boundary formulation  boundary correction  a priori error estimate  finite element  
A multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 436-449
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
Favorite  |  View/Download：124/0  |  Submit date：2018/07/30
Density functional theory  Kohn-Sham equation  Multilevel correction  Adaptive finite element method  
A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4208-A4235
Authors:  Hong, Qichen;  Xie, Hehu;  Xu, Fei
Favorite  |  View/Download：123/0  |  Submit date：2019/03/05
eigenvalue problem  multilevel correction  adaptive finite element method  convergence  optimal complexity  
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  
A FULL MULTIGRID METHOD FOR SEMILINEAR ELLIPTIC EQUATION 期刊论文
APPLICATIONS OF MATHEMATICS, 2017, 卷号: 62, 期号: 3, 页码: 225-241
Authors:  Xu, Fei;  Xie, Hehu
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semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
A full multigrid method for eigenvalue problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 747-759
Authors:  Chen, Hongtao;  Xie, Hehu;  Xu, Fei
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Eigenvalue problem  Full multigrid method  Multilevel correction  Finite element method  
A full multigrid method for nonlinear eigenvalue problems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 10, 页码: 2037-2048
Authors:  Jia, ShangHui;  Xie, HeHu;  Xie, ManTing;  Xu, Fei
Favorite  |  View/Download：95/0  |  Submit date：2018/07/30
nonlinear eigenvalue problem  full multigrid method  multilevel correction  finite element method