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

Science Advances (Sci Adv), 2021

19 March 2021

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

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Title
Operator Learning at Machine Precision Aras Bacho Aleksei G. Sorokin Xianjin Yang Théo Bourdais Edoardo Calvello Matthieu Darcy Alexander Hsu Bamdad Hosseini H. Owhadi 85 0 0 25 Nov 2025
Method of Manufactured Learning for Solver-free Training of Neural Operators Arth Sojitra Omer San AI4CE 162 0 0 17 Nov 2025
Real-time distortion prediction in metallic additive manufacturing via a physics-informed neural operator approach Mingxuan Tian Haochen Mu Donghong Ding Mengjiao Li Yuhan Ding Jianping Zhao AI4CE 132 0 0 17 Nov 2025
Convomem Benchmark: Why Your First 150 Conversations Don't Need RAGJournal of the mechanics and physics of solids (JMPS), 2025 Egor Pakhomov Erik Nijkamp Caiming Xiong 223 0 0 13 Nov 2025
A Neural-Operator Preconditioned Newton Method for Accelerated Nonlinear Solvers Youngkyu Lee Shanqing Liu Jérome Darbon George Karniadakis 51 0 0 11 Nov 2025
AgenticSciML: Collaborative Multi-Agent Systems for Emergent Discovery in Scientific Machine Learning Qile Jiang George Em Karniadakis AI4CE 148 4 0 10 Nov 2025
A unified physics-informed generative operator framework for general inverse problems Gang Bao Yaohua Zang AI4CE 126 0 0 05 Nov 2025
HEATNETs: Explainable Random Feature Neural Networks for High-Dimensional Parabolic PDEs Kyriakos Georgiou Gianluca Fabiani Constantinos Siettos A. Yannacopoulos 80 0 0 02 Nov 2025
A DeepONet joint Neural Tangent Kernel Hybrid Framework for Physics-Informed Inverse Source Problems and Robust Image Reconstruction Yuhao Fang Zijian Wang Yao Lu Ye Zhang Chun Li 176 0 0 01 Nov 2025
Mixture-of-Experts Operator Transformer for Large-Scale PDE Pre-Training Hong Wang Haiyang Xin Jie Wang Xuanze Yang Fei Zha Huanshuo Dong Yan Jiang MoE AI4CE 563 0 0 29 Oct 2025
A Physics-informed Multi-resolution Neural Operator Sumanta Roy B. Bahmani Ioannis G. Kevrekidis Michael D. Shields AI4CE 112 1 0 27 Oct 2025
Simultaneously Solving Infinitely Many LQ Mean Field Games In Hilbert Spaces: The Power of Neural Operators Dena Firoozi Anastasis Kratsios Xuwei Yang 92 2 0 22 Oct 2025
Efficient High-Accuracy PDEs Solver with the Linear Attention Neural Operator Ming Zhong Zhenya Yan AI4CE 93 0 0 19 Oct 2025
Deep Neural ODE Operator Networks for PDEs Ziqian Li Kang Liu Yongcun Song Hangrui Yue Enrique Zuazua AI4CE 125 0 0 17 Oct 2025
PO-CKAN:Physics Informed Deep Operator Kolmogorov Arnold Networks with Chunk Rational Structure Junyi Wu Guang Lin 108 2 0 09 Oct 2025
Physics-Informed Machine Learning in Biomedical Science and Engineering Nazanin Ahmadi Qianying Cao J. Humphrey George Karniadakis PINN AI4CE 130 0 0 06 Oct 2025
Can Data-Driven Dynamics Reveal Hidden Physics? There Is A Need for Interpretable Neural Operators Wenhan Gao Jian Luo Fang Wan Ruichen Xu Xiang Liu Haipeng Xing Yi Liu AI4CE 112 1 0 03 Oct 2025
Neural Networks as Surrogate Solvers for Time-Dependent Accretion Disk DynamicsAstrophysical Journal Letters (ApJL), 2025 S. Mao Weiqi Wang Sifan Wang R. Dong Lu Lu K. M. Yi P. Perdikaris Andrea Isella Sébastien Fabbro Lile Wang PINN AI4CE 139 0 0 24 Sep 2025
Physics-Informed Operator Learning for Hemodynamic Modeling Ryan Chappell C. Banerjee Kien Nguyen Clinton Fookes PINN 155 0 0 22 Sep 2025
FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning Arth Sojitra Mrigank Dhingra Omer San 236 1 0 15 Sep 2025
ReBaNO: Reduced Basis Neural Operator Mitigating Generalization Gaps and Achieving Discretization Invariance Haolan Zheng Yanlai Chen Jiequn Han Yue Yu AI4CE 188 1 0 11 Sep 2025
Physics-informed low-rank neural operators with application to parametric elliptic PDEs Sebastian Schaffer Lukas Exl AI4CE 64 0 0 09 Sep 2025
Data-Efficient Time-Dependent PDE Surrogates: Graph Neural Simulators vs. Neural Operators Dibyajyoti Nayak Somdatta Goswami AI4CE 158 0 0 07 Sep 2025
HyPINO: Multi-Physics Neural Operators via HyperPINNs and the Method of Manufactured Solutions Rafael Bischof Michal Piovarči Michael A. Kraus Siddhartha Mishra Bernd Bickel PINN AI4CE 298 0 0 05 Sep 2025
RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations Weihang Ouyang Min Zhu Wei Xiong Si-Wei Liu Lu Lu 184 2 0 01 Sep 2025
Gaussian process surrogate with physical law-corrected prior for multi-coupled PDEs defined on irregular geometry Pucheng Tang Hongqiao Wang Wenzhou Lin Qian Chen Heng Yong AI4CE 76 1 0 01 Sep 2025
An Evolutionary Multi-objective Optimization for Replica-Exchange-based Physics-informed Operator Learning Network B.-L. Lu Changhong Mou Guang Lin 126 2 0 31 Aug 2025
Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements Xuyang Li Mahdi Masmoudi Rami Gharbi N. Lajnef Vishnu Boddeti AI4CE 127 0 0 29 Aug 2025
Physics-Constrained Machine Learning for Chemical Engineering Angan Mukherjee Victor M. Zavala PINN AI4CE 121 1 0 28 Aug 2025
Neural Spline Operators for Risk Quantification in Stochastic Systems Zhuoyuan Wang Raffaele Romagnoli Kamyar Azizzadenesheli Yorie Nakahira 72 0 0 27 Aug 2025
Physics-Informed DeepONet Coupled with FEM for Convective Transport in Porous Media with Sharp Gaussian Sources Erdi Kara Panos Stinis 84 0 0 27 Aug 2025
A novel auxiliary equation neural networks method for exactly explicit solutions of nonlinear partial differential equations Shanhao Yuan Yanqin Liu Runfa Zhang Limei Yan Shunjun Wu Libo Feng 57 0 0 22 Aug 2025
Hybrid Least Squares/Gradient Descent Methods for DeepONets Jun Choi Chang-Ock Lee Minam Moon 173 0 0 21 Aug 2025
Physics-informed deep operator network for traffic state estimation Zhihao Li Ting Wang Guojian Zou Ruofei Wang Ye Li 64 2 0 18 Aug 2025
Unsupervised operator learning approach for dissipative equations via Onsager principle Zhipeng Chang Zhenye Wen Xiaofei Zhao 64 0 0 10 Aug 2025
Structure-Preserving Digital Twins via Conditional Neural Whitney Forms Brooks Kinch Benjamin Shaffer Elizabeth Armstrong Michael Meehan John Hewson Nathaniel Trask AI4CE 92 2 0 09 Aug 2025
Physics-Informed Time-Integrated DeepONet: Temporal Tangent Space Operator Learning for High-Accuracy Inference Luis Mandl Dibyajyoti Nayak Tim Ricken Somdatta Goswami AI4CE 65 3 0 07 Aug 2025
BubbleOKAN: A Physics-Informed Interpretable Neural Operator for High-Frequency Bubble Dynamics Yunhao Zhang Lin Cheng Aswin Gnanaskandan Ameya D. Jagtap Ameya D. Jagtap AI4CE 126 0 0 05 Aug 2025
LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Xiaodong Feng Ling Guo Xiaoliang Wan Hao Wu Tao Zhou Wenwen Zhou AI4CE 203 0 0 30 Jul 2025
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Tiantian Sun Jian Zu 102 0 0 29 Jul 2025
Low-rank adaptive physics-informed HyperDeepONets for solving differential equations Etienne Zeudong E. Cardoso-Bihlo Alex Bihlo AI4CE 161 1 0 24 Jul 2025
BiLO: Bilevel Local Operator Learning for PDE Inverse Problems. Part II: Efficient Uncertainty Quantification with Low-Rank Adaptation Ray Zirui Zhang Christopher E. Miles Xiaohui Xie John S. Lowengrub 142 0 0 22 Jul 2025
Blending data and physics for reduced-order modeling of systems with spatiotemporal chaotic dynamics Alex Guo Michael D. Graham AI4CE 138 0 0 21 Jul 2025
Universal Fourier Neural Operators for periodic homogenization problems in linear elasticityJournal of the mechanics and physics of solids (JMPS), 2025 Binh Huy Nguyen Matti Schneider AI4CE 230 0 0 16 Jul 2025
Towards Robust Surrogate Models: Benchmarking Machine Learning Approaches to Expediting Phase Field Simulations of Brittle Fracture Erfan Hamdi Emma Lejeune OOD AI4CE 189 0 0 09 Jul 2025
NeuroPhysNet: A FitzHugh-Nagumo-Based Physics-Informed Neural Network Framework for Electroencephalograph (EEG) Analysis and Motor Imagery Classification Zhenyu Xia Xinlei Huang Suvash C. Saha Suvash C. Saha 73 0 0 16 Jun 2025
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning Julius Berner Miguel Liu-Schiaffini Jean Kossaifi Valentin Duruisseaux Boris Bonev Kamyar Azizzadenesheli A. Anandkumar AI4CE 332 3 0 12 Jun 2025
OmniFluids: Physics Pre-trained Modeling of Fluid Dynamics Rui Zhang Qi Meng Han Wan Yang Liu Zhi-Ming Ma Hao Sun AI4CE 303 0 0 12 Jun 2025
FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modeling Sifan Wang Zehao Dou Tong-Rui Liu Lu Lu Lu Lu DiffM 210 8 0 09 Jun 2025
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Jin Song Kenji Kawaguchi Zhenya Yan AI4CE 238 0 0 02 Jun 2025