Interfacing Finite Elements with Deep Neural Operators for Fast
Multiscale Modeling of Mechanics Problems

Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems

25 February 2022

George Karniadakis

Papers citing "Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems"

13 / 13 papers shown

Title
Physics-informed Multiple-Input Operators for efficient dynamic response prediction of structures Bilal Ahmed Yuqing Qiu Diab W. Abueidda Waleed El-Sekelly Tarek Abdoun M. Mobasher AI4CE 34 0 0 11 May 2025
Accelerating Multiscale Modeling with Hybrid Solvers: Coupling FEM and Neural Operators with Domain Decomposition Wei Wang Maryam Hakimzadeh Haihui Ruan Somdatta Goswami AI4CE 35 0 0 15 Apr 2025
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 32 16 0 11 Jan 2024
Machine learning and domain decomposition methods -- a survey A. Klawonn M. Lanser J. Weber AI4CE 24 7 0 21 Dec 2023
Mechanical Characterization and Inverse Design of Stochastic Architected Metamaterials Using Neural Operators Hanxun Jin Enrui Zhang Boyu Zhang Sridhar Krishnaswamy George Karniadakis Horacio D. Espinosa AI4CE 32 4 0 23 Nov 2023
Investigating Deep Learning Model Calibration for Classification Problems in Mechanics S. Mohammadzadeh Peerasait Prachaseree Emma Lejeune AI4CE 34 2 0 01 Dec 2022
Utilising physics-guided deep learning to overcome data scarcity Jinshuai Bai Laith Alzubaidi Qingxia Wang E. Kuhl Bennamoun Yuantong T. Gu PINN AI4CE 31 3 0 24 Nov 2022
Partial Differential Equations Meet Deep Neural Networks: A Survey Shudong Huang Wentao Feng Chenwei Tang Jiancheng Lv AI4CE AIMat 24 17 0 27 Oct 2022
Evolution TANN and the identification of internal variables and evolution equations in solid mechanics Filippo Masi I. Stefanou AI4CE 19 30 0 27 Sep 2022
G2Φnet: Relating Genotype and Biomechanical Phenotype of Tissues with Deep Learning Enrui Zhang B. Spronck J. Humphrey George Karniadakis AI4CE 28 9 0 21 Aug 2022
A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: comparison with finite element method Shahed Rezaei Ali Harandi Ahmad Moeineddin Bai-Xiang Xu Stefanie Reese 21 112 0 27 Jun 2022
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics Xin-Yang Liu Min Zhu Lu Lu Hao Sun Jian-Xun Wang PINN AI4CE 33 45 0 09 May 2022
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 223 2,287 0 18 Oct 2020