1 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
Deep operator network for surrogate modeling of poroelasticity with random permeability fields
Sangjoon Park, Yeonjong Shin, Jinhyun Choo
Poroelasticity -- coupled fluid flow and elastic deformation in porous media -- often involves spatially variable permeability, especially in subsurface systems. In such cases, sim…
Neural-operator element method: Efficient and scalable finite element method enabled by reusable neural operators
Weihang Ouyang, Yeonjong Shin, Si-Wei Liu +1
The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial c…
Randomized Forward Mode of Automatic Differentiation For Optimization Algorithms
Khemraj Shukla, Yeonjong Shin
We present a randomized forward mode gradient (RFG) as an alternative to backpropagation. RFG is a random estimator for the gradient that is constructed based on the directional de…
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…