2 papers
math.NA2023
Partitioned neural network approximation for partial differential equations enhanced with Lagrange multipliers and localized loss functions
Deok-Kyu Jang, Kyungsoo Kim, Hyea Hyun Kim
Partitioned neural network functions are used to approximate the solution of partial differential equations. The problem domain is partitioned into non-overlapping subdomains and t…
math.NA2023
Enhanced physics-informed neural networks with domain scaling and residual correction methods for multi-frequency elliptic problems
Deok-Kyu Jang, Hyea Hyun Kim, Kyungsoo Kim
In this paper, neural network approximation methods are developed for elliptic partial differential equations with multi-frequency solutions. Neural network work approximation meth…