Deep neural operators can serve as accurate surrogates for shape
optimization: A case study for airfoils

Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils

2 February 2023

Michael Penwarden

Robert M. Kirby

George Karniadakis

Papers citing "Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils"

15 / 15 papers shown

Title
Physics-constrained DeepONet for Surrogate CFD models: a curved backward-facing step case Anas Jnini Harshinee Goordoyal Sujal Dave Flavio Vella Katharine H. Fraser Artem Korobenko PINN 59 2 0 14 Mar 2025
State-space models are accurate and efficient neural operators for dynamical systems Zheyuan Hu Nazanin Ahmadi Daryakenari Qianli Shen Kenji Kawaguchi George Karniadakis Mamba AI4CE 64 10 0 28 Jan 2025
Separable Operator Networks Xinling Yu S. Hooten Z. Liu Yequan Zhao M. Fiorentino T. Van Vaerenbergh Zheng-Wei Zhang 41 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
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
Diffeomorphism Neural Operator for various domains and parameters of partial differential equations Zhiwei Zhao Changqing Liu Yingguang Li Zhibin Chen Xu Liu AI4CE MedIm 22 3 0 19 Feb 2024
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains Minglang Yin Nicolas Charon Ryan Brody Lu Lu Natalia A. Trayanova M. Maggioni AI4CE 52 10 0 11 Feb 2024
Rethinking materials simulations: Blending direct numerical simulations with neural operators Vivek Oommen K. Shukla Saaketh Desai Rémi Dingreville George Karniadakis AI4CE 38 16 0 08 Dec 2023
Grad-Shafranov equilibria via data-free physics informed neural networks Byoungchan Jang A. Kaptanoglu Rahul Gaur Shaw Pan Matt Landreman W. Dorland PINN 16 2 0 22 Nov 2023
A hybrid Decoder-DeepONet operator regression framework for unaligned observation data Bo Chen Chenyu Wang Weipeng Li Haiyang Fu 21 8 0 18 Aug 2023
Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators N. Borrel-Jensen S. Goswami A. Engsig-Karup George Karniadakis C. Jeong AI4CE 23 16 0 09 Aug 2023
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks Zheyuan Hu K. Shukla George Karniadakis Kenji Kawaguchi PINN AI4CE 55 84 0 23 Jul 2023
Interpreting and generalizing deep learning in physics-based problems with functional linear models Amirhossein Arzani Lingxiao Yuan P. Newell Bei Wang AI4CE 19 7 0 10 Jul 2023
MyCrunchGPT: A chatGPT assisted framework for scientific machine learning Varun V. Kumar Leonard Gleyzer Adar Kahana K. Shukla George Karniadakis AI4CE 24 10 0 27 Jun 2023
Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators Dingcheng Luo Thomas O'Leary-Roseberry Peng Chen Omar Ghattas AI4CE 19 15 0 31 May 2023