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"

50 / 316 papers shown

Title
Long-time Integration of Nonlinear Wave Equations with Neural Operators Guanhang Lei Zhen Lei Lei Shi 28 0 0 21 Oct 2024
Federated scientific machine learning for approximating functions and solving differential equations with data heterogeneity Handi Zhang Langchen Liu Lu Lu FedML 32 1 0 17 Oct 2024
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods Lise Le Boudec Emmanuel de Bezenac Louis Serrano Ramon Daniel Regueiro-Espino Yuan Yin Patrick Gallinari AI4CE 30 2 0 09 Oct 2024
Discovering Message Passing Hierarchies for Mesh-Based Physics Simulation Huayu Deng Xiangming Zhu Yunbo Wang Xiaokang Yang PINN AI4CE 29 0 0 03 Oct 2024
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups Zakhar Shumaylov Peter Zaika James Rowbottom Ferdia Sherry Melanie Weber Carola-Bibiane Schönlieb 34 1 0 03 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 38 7 0 02 Oct 2024
Scientific Machine Learning Seismology Tomohisa Okazaki PINN AI4CE 46 0 0 27 Sep 2024
Physics-Informed Graph-Mesh Networks for PDEs: A hybrid approach for complex problems M. Chenaud Frédéric Magoulès José Alves AI4CE PINN 26 1 0 25 Sep 2024
Micrometer: Micromechanics Transformer for Predicting Mechanical Responses of Heterogeneous Materials Sifan Wang Tong-Rui Liu Shyam Sankaran P. Perdikaris AI4CE 40 3 0 23 Sep 2024
Efficient Training of Deep Neural Operator Networks via Randomized Sampling Sharmila Karumuri Lori Graham-Brady Somdatta Goswami 23 1 0 20 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition Milad Ramezankhani Rishi Parekh A. Deodhar Dagnachew Birru AI4CE 29 0 0 13 Sep 2024
Real-time optimal control of high-dimensional parametrized systems by deep learning-based reduced order models Matteo Tomasetto Andrea Manzoni Francesco Braghin AI4CE 20 1 0 09 Sep 2024
Component Fourier Neural Operator for Singularly Perturbed Differential Equations Ye Li Ting Du Yiwen Pang Zhongyi Huang 19 1 0 07 Sep 2024
Physics-informed DeepONet with stiffness-based loss functions for structural response prediction Bilal Ahmed Yuqing Qiu Diab W. Abueidda Waleed El-Sekelly Borja Garcia de Soto Tarek Abdoun M. Mobasher 18 0 0 02 Sep 2024
Fourier Spectral Physics Informed Neural Network: An Efficient and Low-Memory PINN Tianchi Yu Yiming Qi Ivan V. Oseledets Shiyi Chen 24 0 0 29 Aug 2024
Multilevel CNNs for Parametric PDEs based on Adaptive Finite Elements Janina Enrica Schutte Martin Eigel AI4CE 27 1 0 20 Aug 2024
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster Chi Chiu So Siu Pang Yung 30 6 0 09 Aug 2024
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving Varun V. Kumar S. Goswami Katiana Kontolati Michael D. Shields George Em Karniadakis AI4CE 63 6 0 05 Aug 2024
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 30 4 0 02 Aug 2024
Generative Learning of the Solution of Parametric Partial Differential Equations Using Guided Diffusion Models and Virtual Observations Han Gao Sebastian Kaltenbach P. Koumoutsakos DiffM AI4CE 21 4 0 31 Jul 2024
Improving PINNs By Algebraic Inclusion of Boundary and Initial Conditions Mohan Ren Zhihao Fang Keren Li Anirbit Mukherjee PINN AI4CE 39 0 0 30 Jul 2024
A Resolution Independent Neural Operator B. Bahmani S. Goswami Ioannis G. Kevrekidis Michael D. Shields 33 7 0 17 Jul 2024
Base Models for Parabolic Partial Differential Equations Xingzi Xu Ali Hasan Jie Ding Vahid Tarokh 35 1 0 17 Jul 2024
Separable Operator Networks Xinling Yu S. Hooten Z. Liu Yequan Zhao M. Fiorentino T. Van Vaerenbergh Zheng-Wei Zhang 43 4 0 15 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 29 42 0 09 Jul 2024
PAPM: A Physics-aware Proxy Model for Process Systems Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 40 0 0 07 Jul 2024
Green Multigrid Network Ye Lin Young Ju Lee Jiwei Jia 21 1 0 04 Jul 2024
An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study Milad Ramezankhani A. Deodhar Rishi Parekh Dagnachew Birru AI4CE 42 3 0 20 Jun 2024
Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications Youngkyu Lee Alena Kopanicáková George Karniadakis AI4CE 41 0 0 16 Jun 2024
Hamilton-Jacobi Based Policy-Iteration via Deep Operator Learning Jae Yong Lee Yeoneung Kim 21 2 0 16 Jun 2024
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators Gianluca Fabiani Ioannis G. Kevrekidis Constantinos Siettos A. Yannacopoulos 22 11 0 08 Jun 2024
Physics and geometry informed neural operator network with application to acoustic scattering S. Nair Timothy F. Walsh Greg Pickrell Fabio Semperlotti AI4CE 36 2 0 02 Jun 2024
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity Benjamin Shih Ahmad Peyvan Zhongqiang Zhang George Karniadakis AI4CE 41 11 0 29 May 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 29 3 0 29 May 2024
Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations Ze Cheng Zhongkai Hao Xiaoqiang Wang Jianing Huang Youjia Wu Xudan Liu Yiru Zhao Songming Liu Hang Su AI4CE 29 2 0 27 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 36 1 0 27 May 2024
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 28 12 0 21 May 2024
Large scale scattering using fast solvers based on neural operators Zongren Zou Adar Kahana Enrui Zhang Eli Turkel Rishikesh Ranade Jay Pathak George Karniadakis 36 1 0 20 May 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs Simone Brivio S. Fresca Andrea Manzoni AI4CE 38 6 0 14 May 2024
Generative flow induced neural architecture search: Towards discovering optimal architecture in wavelet neural operator Hartej Soin Tapas Tripura Souvik Chakraborty 24 3 0 11 May 2024
Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space Rasoul Najafi Koopas Shahed Rezaei N. Rauter Richard Ostwald R. Lammering AI4CE 38 4 0 03 May 2024
Towards General Neural Surrogate Solvers with Specialized Neural Accelerators Chenkai Mao Robert Lupoiu Tianxiang Dai Mingkun Chen Jonathan A. Fan AI4CE 32 4 0 02 May 2024
Error analysis for finite element operator learning methods for solving parametric second-order elliptic PDEs Youngjoon Hong Seungchan Ko Jae Yong Lee 20 1 0 27 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024
Neural Operator induced Gaussian Process framework for probabilistic solution of parametric partial differential equations Sawan Kumar R. Nayek Souvik Chakraborty 32 2 0 24 Apr 2024
TENG: Time-Evolving Natural Gradient for Solving PDEs With Deep Neural Nets Toward Machine Precision Zhuo Chen Jacob McCarran Esteban Vizcaino Marin Soljacic Di Luo AI4CE 14 3 0 16 Apr 2024
Composite Bayesian Optimization In Function Spaces Using NEON -- Neural Epistemic Operator Networks Leonardo Ferreira Guilhoto P. Perdikaris BDL 33 1 0 03 Apr 2024
MODNO: Multi Operator Learning With Distributed Neural Operators Zecheng Zhang 35 6 0 03 Apr 2024
A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations Shahed Rezaei Reza Najian Asl S. Faroughi Mahdi Asgharzadeh Ali Harandi Rasoul Najafi Koopas G. Laschet Stefanie Reese Markus Apel AI4CE 34 4 0 28 Mar 2024
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations Xuan Zhang Jacob Helwig Yu-Ching Lin Yaochen Xie Cong Fu Stephan Wojtowytsch Shuiwang Ji AI4CE 37 6 0 28 Mar 2024