4 papers · 1 filter
Higher-order multiscale method and its convergence analysis for nonlinear thermo-electric coupling problems of composite structures
Hao Dong, Zongze Yang, Yufeng Nie
This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent mate…
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…
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…
Finite Element Methods for Fractional PDEs in Three Dimensions
Zongze Yang, Zhanbin Yuan, Yufeng Nie +1
This paper is a generalization of the previous work (Yang et.al, J. Comput. Phys. 330 (2017), 863-883) to the 3-D irregular convex domains. The analytical calculation formula of fr…