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Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
作者:  Liang, Dongdong;  Gong, Wei;  Xie, Xiaoping
收藏  |  浏览/下载：131/0  |  提交时间：2022/04/02
Parabolic optimal control problem  pointwise observation  space-time finite element method  parabolic PDE with Dirac measure  error estimate  
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
作者:  Liao, Yulei;  Ming, Pingbing
收藏  |  浏览/下载：164/0  |  提交时间：2021/06/01
Deep Nitsche Method  Deep Ritz Method  neural network approximation  mixed boundary conditions  curse of dimensionality  
A well-conditioned and efficient implementation of dual reciprocity method for Poisson equation 期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 11, 页码: 12560-12582
作者:  Khan, Suliman;  Khan, M. Riaz;  Alqahtani, Aisha M.;  Shah, Hasrat Hussain;  Issakhov, Alibek;  Shah, Qayyum;  EI-Shorbagy, M. A.
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/02
dual reciprocity method  multiquadrics  compactly supported radial basis functions  stability analysis  condition number  Poisson equation  
A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 524-540
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
收藏  |  浏览/下载：221/0  |  提交时间：2020/05/24
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem