61 citations · 124 across the 7 of their papers we have counts for
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cs.LG2022★ 4 cited
A Neural Network Approach for Homogenization of Multiscale Problems
Jihun Han, Yoonsang Lee
We propose a neural network-based approach to the homogenization of multiscale problems. The proposed method uses a derivative-free formulation of a training loss, which incorporat…
cs.LG2022★ 5 cited
Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks
Jihun Han, Yoonsang Lee
The neural network-based approach to solving partial differential equations has attracted considerable attention due to its simplicity and flexibility in representing the solution…
cs.LG2020★ 61 cited
A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks
Jihun Han, Mihai Nica, Adam R Stinchcombe
We introduce a deep neural network based method for solving a class of elliptic partial differential equations. We approximate the solution of the PDE with a deep neural network wh…