Mixed formulation of physics-informed neural networks for
thermo-mechanically coupled systems and heterogeneous domains

Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains

9 February 2023

Ahmad Moeineddin

Michael Kaliske

Papers citing "Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains"

8 / 8 papers shown

Title
A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains Yusuke Yamazaki Ali Harandi Mayu Muramatsu A. Viardin Markus Apel T. Brepols Stefanie Reese Shahed Rezaei AI4CE 36 12 0 21 May 2024
CENN: Conservative energy method based on neural networks with subdomains for solving variational problems involving heterogeneous and complex geometries Yi-Zhou Wang Jia Sun Wei Li Zaiyuan Lu Yinghua Liu 47 37 0 25 Sep 2021
Parallel Physics-Informed Neural Networks via Domain Decomposition K. Shukla Ameya Dilip Jagtap George Karniadakis PINN 101 274 0 20 Apr 2021
Physics-informed neural networks with hard constraints for inverse design Lu Lu R. Pestourie Wenjie Yao Zhicheng Wang F. Verdugo Steven G. Johnson PINN 39 494 0 09 Feb 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
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 208 2,287 0 18 Oct 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition E. Kharazmi Zhongqiang Zhang George Karniadakis 125 508 0 11 Mar 2020
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications E. Samaniego C. Anitescu S. Goswami Vien Minh Nguyen-Thanh Hongwei Guo Khader M. Hamdia Timon Rabczuk X. Zhuang PINN AI4CE 153 1,339 0 27 Aug 2019