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math.NA2023
Higher-order multi-scale method for high-accuracy nonlinear thermo-mechanical simulation of heterogeneous shells
Hao Dong, Xiaofei Guan, Yufeng Nie
In the present work, we consider multi-scale computation and convergence for nonlinear time-dependent thermo-mechanical equations of inhomogeneous shells possessing temperature-dep…
physics.comp-ph2023
Self-optimization wavelet-learning method for predicting nonlinear thermal conductivity of highly heterogeneous materials with randomly hierarchical configurations
Jiale Linghu, Hao Dong, Weifeng Gao +1
In the present work, we propose a self-optimization wavelet-learning method (SO-W-LM) with high accuracy and efficiency to compute the equivalent nonlinear thermal conductivity of…
math.NA2023
Higher-order multi-scale deep Ritz method for multi-scale problems of authentic composite materials
Jiale Linghu, Hao Dong, Junzhi Cui +1
The direct deep learning simulation for multi-scale problems remains a challenging issue. In this work, a novel higher-order multi-scale deep Ritz method (HOMS-DRM) is developed fo…