Learning the solution operator of parametric partial differential
equations with physics-informed DeepOnets

Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets

19 March 2021

Papers citing "Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets"

16 / 316 papers shown

Title
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 21 438 0 19 Aug 2021
A physics-informed variational DeepONet for predicting the crack path in brittle materials S. Goswami Minglang Yin Yue Yu G. Karniadakis AI4CE 15 187 0 16 Aug 2021
Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations Benjamin Moseley Andrew Markham T. Nissen‐Meyer PINN 40 209 0 16 Jul 2021
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs Lulu Zhang Tao Luo Yaoyu Zhang Weinan E Z. Xu Zheng Ma AI4CE 13 33 0 08 Jul 2021
Closed-form Continuous-time Neural Models Ramin Hasani Mathias Lechner Alexander Amini Lucas Liebenwein Aaron Ray Max Tschaikowski G. Teschl Daniela Rus PINN AI4TS 23 82 0 25 Jun 2021
Long-time integration of parametric evolution equations with physics-informed DeepONets Sifan Wang P. Perdikaris AI4CE 17 117 0 09 Jun 2021
Encoding physics to learn reaction-diffusion processes Chengping Rao Pu Ren Qi Wang O. Buyukozturk Haoqin Sun Yang Liu PINN AI4CE DiffM 25 78 0 09 Jun 2021
Learning particle swarming models from data with Gaussian processes Jinchao Feng Charles Kulick Yunxiang Ren Sui Tang 26 5 0 04 Jun 2021
Choose a Transformer: Fourier or Galerkin Shuhao Cao 34 220 0 31 May 2021
Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver Yuankai Teng Xiaoping Zhang Zhu Wang L. Ju 8 14 0 23 May 2021
One-shot learning for solution operators of partial differential equations Priya Kasimbeg Haiyang He Rishikesh Ranade Jay Pathak Lu Lu AI4CE 21 11 0 06 Apr 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sifan Wang Hanwen Wang P. Perdikaris 131 438 0 18 Dec 2020
$NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework$ NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework O. Hennigh S. Narasimhan M. A. Nabian Akshay Subramaniam Kaustubh Tangsali M. Rietmann J. Ferrandis Wonmin Byeon Z. Fang S. Choudhry PINN AI4CE 91 126 0 14 Dec 2020
Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation Bryce Chudomelka Youngjoon Hong Hyunwoo J. Kim Jinyoung Park 17 7 0 24 Oct 2020
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 203 2,282 0 18 Oct 2020
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks Chelsea Finn Pieter Abbeel Sergey Levine OOD 281 11,681 0 09 Mar 2017