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math.NA2026
A Parallel and Adaptive Mesh-Free Method for Discontinuous Coefficient Fields in Heterogeneous Porous Media
Kapil Chawla, Sanghyun Lee, Yeonjong Shin
Discontinuous coefficient fields arise in many computational physics problems and are often represented as cellwise constant data tied to a given spatial discretization. Such repre…
math.NA2023★ 1 cited
On the training and generalization of deep operator networks
Sanghyun Lee, Yeonjong Shin
We present a novel training method for deep operator networks (DeepONets), one of the most popular neural network models for operators. DeepONets are constructed by two sub-network…