Enhancing Multiscale Simulations with Constitutive Relations-Aware Deep Operator Networks

22 May 2024

Papers citing "Enhancing Multiscale Simulations with Constitutive Relations-Aware Deep Operator Networks"

7 / 7 papers shown

Title
Nonlinear model reduction for operator learning Hamidreza Eivazi Stefan H. A. Wittek Andreas Rausch 47 3 0 27 Mar 2024
PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers Phillip Lippe Bastiaan S. Veeling P. Perdikaris Richard Turner Johannes Brandstetter DiffM AI4CE 72 93 0 10 Aug 2023
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks Leo Zhao Xueying Ding B. Prakash PINN AI4CE 40 30 0 21 Jul 2023
Physics informed neural networks for continuum micromechanics Alexander Henkes Henning Wessels R. Mahnken PINN AI4CE 41 144 0 14 Oct 2021
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 446 2,383 0 18 Oct 2020
Model Reduction and Neural Networks for Parametric PDEs K. Bhattacharya Bamdad Hosseini Nikola B. Kovachki Andrew M. Stuart 181 327 0 07 May 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 193 2,106 0 08 Oct 2019