22 citations · 31 across the 5 of their papers we have counts for
7 papers · 1 filter
R-adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-adaptive Strategy
Yameng Zhu, Jingrun Chen, Weibing Deng
DeepONet has recently been proposed as a representative framework for learning nonlinear mappings between function spaces. However, when it comes to approximating solution operator…
XI-DeepONet: An operator learning method for elliptic interface problems
Ran Bi, Jingrun Chen, Weibing Deng
Scientific computing has been an indispensable tool in applied sciences and engineering, where traditional numerical methods are often employed due to their superior accuracy guara…
Solving multiscale elliptic problems by sparse radial basis function neural networks
Zhiwen Wang, Minxin Chen, Jingrun Chen
Machine learning has been successfully applied to various fields of scientific computing in recent years. In this work, we propose a sparse radial basis function neural network met…
The Random Feature Method for Solving Interface Problems
Xurong Chi, Jingrun Chen, Zhouwang Yang
Interface problems have long been a major focus of scientific computing, leading to the development of various numerical methods. Traditional mesh-based methods often employ time-c…
The Random Feature Method for Time-dependent Problems
Jingrun Chen, Weinan E, Yixin Luo
We present a framework for solving time-dependent partial differential equations (PDEs) in the spirit of the random feature method. The numerical solution is constructed using a sp…
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction
Panchi Li, Shuting Gu, Jin Lan +3
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interact…