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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：21/0  |  Submit date：2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 542-601
Authors:  Hao, Chengchun;  Luo, Tao
Favorite  |  View/Download：98/0  |  Submit date：2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 5, 页码: 1365-1384
Authors:  Liao, Yulei;  Ming, Pingbing
Favorite  |  View/Download：117/0  |  Submit date：2021/06/01
Deep Nitsche Method  Deep Ritz Method  neural network approximation  mixed boundary conditions  curse of dimensionality  
Pointed Drinfeld Center Functor 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 页码: 35
Authors:  Kong, Liang;  Yuan, Wei;  Zheng, Hao
Favorite  |  View/Download：85/0  |  Submit date：2021/04/26
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 non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 484, 期号: 1, 页码: 42
Authors:  Kim, Tujin;  Cao, Daomin
Favorite  |  View/Download：163/0  |  Submit date：2020/05/24
Heat-conducting fluids  Dissipative heating  Mixed boundary conditions  Tresca slip  Leak boundary conditions  Pressure boundary condition  
A BALANCED OVERSAMPLING FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH OBSERVATIONAL BOUNDARY DATA 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 2, 页码: 355-374
Authors:  Chen, Zhiming;  Tuo, Rui;  Zhang, Wenlong
Favorite  |  View/Download：104/0  |  Submit date：2020/05/24
Observational boundary data  Elliptic equation  Sub-Gaussian random variable  
A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 卷号: 36, 期号: 1, 页码: 95-118
Authors:  Wei, Chang-kun;  Yang, Jia-qing;  Zhang, Bo
Favorite  |  View/Download：138/0  |  Submit date：2020/05/24
electromagnetic  elastic  Laplace transform  Lax-Milgram lemma  energy method  well-posedness  
Effects of Soft Interaction and Non-isothermal Boundary Upon Long-Time Dynamics of Rarefied Gas 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 234, 期号: 2, 页码: 925-1006
Authors:  Duan, Renjun;  Huang, Feimin;  Wang, Yong;  Zhang, Zhu
Favorite  |  View/Download：276/0  |  Submit date：2020/01/10
A NOVEL INTEGRAL EQUATION FOR SCATTERING BY LOCALLY ROUGH SURFACES AND APPLICATION TO THE INVERSE PROBLEM: THE NEUMANN CASE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: A3673-A3702
Authors:  Qu, Fenglong;  Zhang, Bo;  Zhang, Haiwen
Favorite  |  View/Download：125/0  |  Submit date：2020/09/23
integral equation  locally rough surface  Neumann boundary condition  far-field pattern  RCIP method  Newton iteration method