Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing

14 November 2022

Papers citing "Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing"

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Title
Physics-informed Neural Networks with Periodic Activation Functions for Solute Transport in Heterogeneous Porous Media Salah A. Faroughi Ramin Soltanmohammad Pingki Datta S. K. Mahjour S. Faroughi 34 23 0 17 Dec 2022
Scientific Machine Learning for Modeling and Simulating Complex Fluids Kyle R. Lennon G. McKinley J. Swan AI4CE 17 28 0 10 Oct 2022
Physics-Informed Neural Networks for Shell Structures Jan-Hendrik Bastek D. Kochmann AI4CE 34 52 0 26 Jul 2022
PhySRNet: Physics informed super-resolution network for application in computational solid mechanics Rajat Arora AI4CE 56 10 0 30 Jun 2022
Multi-scale Physical Representations for Approximating PDE Solutions with Graph Neural Operators Léon Migus Yuan Yin Jocelyn Ahmed Mazari Patrick Gallinari AI4CE 23 5 0 29 Jun 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 30 114 0 27 Jun 2022
Learning two-phase microstructure evolution using neural operators and autoencoder architectures Vivek Oommen K. Shukla S. Goswami Rémi Dingreville George Karniadakis AI4CE 59 120 0 11 Apr 2022
Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models Sibo Cheng Jianhua Chen Charitos Anastasiou P. Angeli Omar K. Matar Yi-Ke Guo Christopher C. Pain Rossella Arcucci AI4CE 51 60 0 07 Apr 2022
Learning the Dynamics of Physical Systems from Sparse Observations with Finite Element Networks Marten Lienen Stephan Günnemann AI4TS 24 37 0 16 Mar 2022
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee Yue Yu AI4CE 51 99 0 15 Mar 2022
Generative Adversarial Networks Gilad Cohen Raja Giryes GAN 87 30,021 0 01 Mar 2022
Physics-informed neural networks for inverse problems in supersonic flows Ameya Dilip Jagtap Zhiping Mao Nikolaus Adams George Karniadakis PINN 26 207 0 23 Feb 2022
Learned Turbulence Modelling with Differentiable Fluid Solvers: Physics-based Loss-functions and Optimisation Horizons Bjorn List Li-Wei Chen Nils Thuerey 49 56 0 14 Feb 2022
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning Chengping Rao Pu Ren Yang Liu Hao Sun AI4CE 67 29 0 28 Jan 2022
Physics-informed neural networks for modeling rate- and temperature-dependent plasticity Rajat Arora P. Kakkar Biswadip Dey Amit Chakraborty PINN AI4CE 74 19 0 20 Jan 2022
A deep learning energy method for hyperelasticity and viscoelasticity Diab W. Abueidda S. Koric R. Al-Rub Corey M. Parrott K. James N. Sobh AI4CE 38 60 0 15 Jan 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next S. Cuomo Vincenzo Schiano Di Cola F. Giampaolo G. Rozza Maizar Raissi F. Piccialli PINN 48 1,227 0 14 Jan 2022
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network Huaiqian You Yue Yu M. DÉlia T. Gao Stewart Silling 52 70 0 06 Jan 2022
Graph Neural Networks Accelerated Molecular Dynamics Zijie Li Kazem Meidani Prakarsh Yadav A. Farimani GNN AI4CE 45 56 0 06 Dec 2021
NeuralPDE: Modelling Dynamical Systems from Data Andrzej Dulny Andreas Hotho Anna Krause AI4CE 31 11 0 15 Nov 2021
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 74 399 0 06 Nov 2021
CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Method P. Chiu Jian Cheng Wong C. Ooi M. Dao Yew-Soon Ong PINN 44 210 0 29 Oct 2021
Physics informed neural networks for continuum micromechanics Alexander Henkes Henning Wessels R. Mahnken PINN AI4CE 34 141 0 14 Oct 2021
Data-driven approaches for predicting spread of infectious diseases through DINNs: Disease Informed Neural Networks Sagi Shaier M. Raissi P. Seshaiyer PINN AI4CE 23 25 0 11 Oct 2021
Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training E. Haghighat Daniel Amini R. Juanes PINN AI4CE 55 98 0 06 Oct 2021
Enhancing Computational Fluid Dynamics with Machine Learning Ricardo Vinuesa Steven L. Brunton AI4CE 140 363 0 05 Oct 2021
Spline-PINN: Approaching PDEs without Data using Fast, Physics-Informed Hermite-Spline CNNs Nils Wandel Michael Weinmann Michael Neidlin Reinhard Klein AI4CE 66 61 0 15 Sep 2021
U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow Gege Wen Zong-Yi Li Kamyar Azizzadenesheli Anima Anandkumar S. Benson AI4CE 45 374 0 03 Sep 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 75 444 0 19 Aug 2021
A Physics Informed Neural Network Approach to Solution and Identification of Biharmonic Equations of Elasticity M. Vahab E. Haghighat M. Khaleghi N. Khalili PINN 85 44 0 16 Aug 2021
$Physics-informed neural networks for solving Reynolds-averaged Navier$\unicode{x2013}$Stokes equations$ Physics-informed neural networks for solving Reynolds-averaged Navier $\unicode{x2013}$ Stokes equations Hamidreza Eivazi M. Tahani P. Schlatter Ricardo Vinuesa PINN AI4CE 22 261 0 22 Jul 2021
PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEs Pu Ren Chengping Rao Yang Liu Jianxun Wang Hao Sun DiffM AI4CE 80 199 0 26 Jun 2021
Least-Squares ReLU Neural Network (LSNN) Method For Scalar Nonlinear Hyperbolic Conservation Law Z. Cai Jingshuang Chen Min Liu PINN 13 24 0 25 May 2021
Physics-informed neural networks (PINNs) for fluid mechanics: A review Shengze Cai Zhiping Mao Zhicheng Wang Minglang Yin George Karniadakis PINN AI4CE 29 1,152 0 20 May 2021
Deep learning for solution and inversion of structural mechanics and vibrations E. Haghighat A. Bekar E. Madenci R. Juanes PINN AI4CE 38 13 0 18 May 2021
Hard Encoding of Physics for Learning Spatiotemporal Dynamics Chengping Rao Hao Sun Yang Liu PINN AI4CE 51 11 0 02 May 2021
Efficient training of physics-informed neural networks via importance sampling M. A. Nabian R. J. Gladstone Hadi Meidani DiffM PINN 94 228 0 26 Apr 2021
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets Sizhuang He Hanwen Wang P. Perdikaris AI4CE 63 685 0 19 Mar 2021
Machine Learning-Based Optimal Mesh Generation in Computational Fluid Dynamics Keefe Huang M. Krügener Alistair Brown F. Menhorn H. Bungartz D. Hartmann AI4CE 42 27 0 25 Feb 2021
Machine learning accelerated computational fluid dynamics Dmitrii Kochkov Jamie A. Smith Ayya Alieva Qing Wang M. Brenner Stephan Hoyer AI4CE 74 849 0 28 Jan 2021
STENCIL-NET: Data-driven solution-adaptive discretization of partial differential equations Suryanarayana Maddu D. Sturm B. Cheeseman Christian L. Müller I. Sbalzarini 36 8 0 15 Jan 2021
Frequency-compensated PINNs for Fluid-dynamic Design Problems Tongtao Zhang Biswadip Dey P. Kakkar A. Dasgupta Amit Chakraborty PINN AI4CE 27 8 0 03 Nov 2020
LagNetViP: A Lagrangian Neural Network for Video Prediction Christine Allen-Blanchette Sushant Veer Anirudha Majumdar Naomi Ehrich Leonard 49 30 0 24 Oct 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 372 2,355 0 18 Oct 2020
TorchDyn: A Neural Differential Equations Library Michael Poli Stefano Massaroli Atsushi Yamashita Hajime Asama Jinkyoo Park AI4CE 22 24 0 20 Sep 2020
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism L. McClenny U. Braga-Neto PINN 49 452 0 07 Sep 2020
Physics-Informed Neural Networks for Nonhomogeneous Material Identification in Elasticity Imaging Enrui Zhang Minglang Yin George Karniadakis 19 64 0 02 Sep 2020
Adaptive Physics-Informed Neural Networks for Markov-Chain Monte Carlo M. A. Nabian Hadi Meidani 27 6 0 03 Aug 2020
Conditional GAN for timeseries generation Kaleb E. Smith Anthony O. Smith AI4TS 18 80 0 30 Jun 2020
Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains Matthew Tancik Pratul P. Srinivasan B. Mildenhall Sara Fridovich-Keil N. Raghavan Utkarsh Singhal R. Ramamoorthi Jonathan T. Barron Ren Ng 75 2,384 0 18 Jun 2020