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math.NA2025
A PINN-enriched finite element method for linear elliptic problems
Xiao Chen, Yixin Luo, Jingrun Chen
In this paper, we propose a hybrid method that combines finite element method (FEM) and physics-informed neural network (PINN) for solving linear elliptic problems. This method con…
math.NA2023★ 1 cited
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…