Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs

16 November 2022

Papers citing "Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs"

6 / 6 papers shown

Title
Finite Element Operator Network for Solving Elliptic-type parametric PDEs Jae Yong Lee Seungchan Ko Youngjoon Hong 105 2 0 20 Feb 2025
Error analysis for finite element operator learning methods for solving parametric second-order elliptic PDEs Youngjoon Hong Seungchan Ko Jae Yong Lee 30 1 0 27 Apr 2024
Spectral operator learning for parametric PDEs without data reliance Junho Choi Taehyun Yun Namjung Kim Youngjoon Hong 24 8 0 03 Oct 2023
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 238 2,298 0 18 Oct 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition E. Kharazmi Zhongqiang Zhang George Karniadakis 128 509 0 11 Mar 2020
$Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $ \ell^1 $ and $ \ell^0 $ Controls$ Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $\ell^1$ and $\ell^0$ Controls Jason M. Klusowski Andrew R. Barron 132 142 0 26 Jul 2016