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Isogeometric Convolution Hierarchical Deep-learning Neural Network: Isogeometric analysis with versatile adaptivity
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 417, 页码: 46
作者:
Zhang, Lei
;
Park, Chanwook
;
Lu, Ye
;
Li, Hengyang
;
Mojumder, Satyajit
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2024/01/08
Convolution isogeometric analysis (C-IGA)
Convolution hierarchical deep-learning neural network (C-hiDeNN)
Software 2.0
r-h-p-s-a adaptive finite element method (FEM)
High-order smoothness and convergence
Convolution Hierarchical Deep-learning Neural Networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond
期刊论文
COMPUTATIONAL MECHANICS, 2023
作者:
Lu, Ye
;
Li, Hengyang
;
Zhang L(张磊)
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2023/06/15
Convolution FEM and HiDeNN
Tensor decomposition
Reduced order modeling
Additive manufacturing
High-order smoothness
Isogeometric analysis (IGA)
Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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  |  
浏览/下载:38/0
  |  
提交时间:2023/02/07
High dimensional Kolmogorov equation
Numerical solution
Iteration scheme
Gaussian process
A fourth-order unfitted characteristic finite element method for free-boundary problems
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:
Ma, Chuwen
;
Zheng, Weiying
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2023/02/07
Free-boundary problems
Unfitted characteristic finite element
methods
Convection-diffusion equation
Navier-Stokes equations
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
HiDeNN-TD: Reduced-order hierarchical deep learning neural networks
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 389, 页码: 33
作者:
Zhang L(张磊)
;
Lu, Ye
;
Tang, Shaoqiang
;
Liu, Wing Kam
收藏
  |  
浏览/下载:44/0
  |  
提交时间:2022/02/17
Hierarchical deep-learning neural networks
Proper generalized decomposition
Canonical tensor decomposition
Reduced order finite element method
Convergence study and error bound
Finite integral transform method for analytical solutions of static problems of cylindrical shell panels
期刊论文
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2020, 卷号: 83, 页码: 11
作者:
An DQ
;
Xu D
;
Ni ZF
;
Su YW(苏业旺)
;
Wang B
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2020/08/26
Finite integral transform
Analytical solution
Cylindrical shell
Static problem
LMI-based robust adaptive neural network control for Euler-Bernoulli beam with uncertain parameters and disturbances
期刊论文
INTERNATIONAL JOURNAL OF CONTROL, 2020, 页码: 10
作者:
Xing, Xueyan
;
Yang, Hongjun
;
Liu, Jinkun
;
Wang, Shuquan
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  |  
浏览/下载:15/0
  |  
提交时间:2020/08/03
Distributed parameter systems
boundary control
LMIs
robust adaptive neural network control
New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method
期刊论文
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2019, 卷号: 76, 页码: 247-262
作者:
Li R(李睿)
;
Wang HY
;
Zheng XR
;
Xiong SJ
;
Hu ZY
收藏
  |  
浏览/下载:63/0
  |  
提交时间:2019/09/09
Analytic solution
Plate buckling
Free edge
Free comer
Symplectic superposition method
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