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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
作者:  Wang, Kang;  Zhang L(张磊);  Tang, Shaoqiang
Adobe PDF(1166Kb)  |  收藏  |  浏览/下载：46/0  |  提交时间：2023/06/15
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
作者:  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)  |  收藏  |  浏览/下载：49/1  |  提交时间：2023/06/15
Convolution FEM and HiDeNN  Tensor decomposition  Reduced order modeling  Additive manufacturing  High-order smoothness  Isogeometric analysis (IGA)  
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
Adobe PDF(4228Kb)  |  收藏  |  浏览/下载：200/48  |  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