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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
Authors:  Zhang L(张磊);  Park, Chanwook;  Lu, Ye;  Li, Hengyang;  Mojumder, Satyajit;  Saha, Sourav;  Guo, Jiachen;  Li, Yangfan;  Abbott, Trevor;  Wagner, Gregory J.;  Tang, Shaoqiang;  Liu, Wing Kam
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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  
Discovery of PDEs driven by data with sharp gradient or discontinuity 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 卷号: 140, 页码: 33-43./通讯作者：Zhang, L
Authors:  Wang, Kang;  Zhang L(张磊);  Tang, Shaoqiang
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System identification  Partial differential equations  Gaussian process  Discontinuous data  Machine learning  
Convolution Hierarchical Deep-learning Neural Networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond 期刊论文
COMPUTATIONAL MECHANICS, 2023./通讯作者：Lu, Y, Liu, WK
Authors:  Lu, Ye;  Li, Hengyang;  Zhang L(张磊);  Park, Chanwook;  Mojumder, Satyajit;  Knapik, Stefan;  Sang, Zhongsheng;  Tang, Shaoqiang;  Apley, DanielW;  Wagner, GregoryJ;  Liu, WingKam
Adobe PDF(5358Kb)  |  Favorite  |  View/Download：98/10  |  Submit date：2023/06/15
Convolution FEM and HiDeNN  Tensor decomposition  Reduced order modeling  Additive manufacturing  High-order smoothness  Isogeometric analysis (IGA)  
Learning chaotic systems from noisy data via multi-step optimization and adaptive training 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 16./通讯作者：He, Guowei
Authors:  Zhang, Lei;  Tang, Shaoqiang;  He GW(何国威)
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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./通讯作者：Tang, Shaoqiang, Liu, Wing Kam
Authors:  Zhang L(张磊);  Lu, Ye;  Tang, Shaoqiang;  Liu, Wing Kam
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Hierarchical deep-learning neural networks  Proper generalized decomposition  Canonical tensor decomposition  Reduced order finite element method  Convergence study and error bound