12 citations · 23 across the 4 of their papers we have counts for
4 papers
Generalizability of local neural operator: example for elastodynamic problems
Hongyu Li, Ximeng Ye, Lei He +3
Local neural operator (LNO) conception has provided a feasible way for scientific computations. The LNO learns transient partial differential equations from random field samples, a…
Virtual domain extension for imposing boundary conditions in flow simulation using pre-trained local neural operator
Ximeng Ye, Hongyu Li, Zhen-Guo Yan
This paper builds up a virtual domain extension (VDE) framework for imposing boundary conditions (BCs) in flow simulation using pre-trained local neural operator (LNO). It creates…
On the locality of local neural operator in learning fluid dynamics
Ximeng Ye, Hongyu Li, Jingjie Huang +1
This paper launches a thorough discussion on the locality of local neural operator (LNO), which is the core that enables LNO great flexibility on varied computational domains in so…
Local neural operator for solving transient partial differential equations on varied domains
Hongyu Li, Ximeng Ye, Peng Jiang +2
Artificial intelligence (AI) shows great potential to reduce the huge cost of solving partial differential equations (PDEs). However, it is not fully realized in practice as neural…