3 papers
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…
cs.LG2025
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…
cs.CE2025
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…