Ausgabe 2/2023
Special Issue: Machine Learning Theories, Modeling, and Applications to Computational Materials Science, Additive Manufacturing, Mechanics of Materials, Design and Optimization, Volume II : Scientific and Mathematical Foundation of Machine Learning / Guest Edited by Nathaniel Trask, Francisco Chinesta, Wing Kam Liu
Inhalt (9 Artikel)
A structure-preserving neural differential operator with embedded Hamiltonian constraints for modeling structural dynamics
David A. Najera-Flores, Michael D. Todd
A continuous convolutional trainable filter for modelling unstructured data
Dario Coscia, Laura Meneghetti, Nicola Demo, Giovanni Stabile, Gianluigi Rozza
Error estimates and physics informed augmentation of neural networks for thermally coupled incompressible Navier Stokes equations
Shoaib Goraya, Nahil Sobh, Arif Masud
Mallat Scattering Transformation based surrogate for Magnetohydrodynamics
Michael E. Glinsky, Kathryn Maupin
Deep Learning Discrete Calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research
Sourav Saha, Chanwook Park, Stefan Knapik, Jiachen Guo, Owen Huang, Wing Kam Liu
Convolution Hierarchical Deep-learning Neural Networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond
Ye Lu, Hengyang Li, Lei Zhang, Chanwook Park, Satyajit Mojumder, Stefan Knapik, Zhongsheng Sang, Shaoqiang Tang, Daniel W. Apley, Gregory J. Wagner, Wing Kam Liu
Convolution Hierarchical Deep-Learning Neural Network Tensor Decomposition (C-HiDeNN-TD) for high-resolution topology optimization
Hengyang Li, Stefan Knapik, Yangfan Li, Chanwook Park, Jiachen Guo, Satyajit Mojumder, Ye Lu, Wei Chen, Daniel W. Apley, Wing Kam Liu
Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration
Chanwook Park, Ye Lu, Sourav Saha, Tianju Xue, Jiachen Guo, Satyajit Mojumder, Daniel W. Apley, Gregory J. Wagner, Wing Kam Liu
A non-intrusive approach for physics-constrained learning with application to fuel cell modeling
Vishal Srivastava, Valentin Sulzer, Peyman Mohtat, Jason B. Siegel, Karthik Duraisamy