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Parallel Physics-Informed Neural Networks via Domain Decomposition
Journal of Computational Physics (JCP), 2021
20 April 2021
K. Shukla
Ameya Dilip Jagtap
George Karniadakis
PINN
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Papers citing
"Parallel Physics-Informed Neural Networks via Domain Decomposition"
50 / 92 papers shown
PINN Balls: Scaling Second-Order Methods for PINNs with Domain Decomposition and Adaptive Sampling
Andrea Bonfanti
Ismael Medina
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Björn Staeves
Roberto Santana
M. Ellero
161
0
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24 Oct 2025
AB-PINNs: Adaptive-Basis Physics-Informed Neural Networks for Residual-Driven Domain Decomposition
Jonah Botvinick-Greenhouse
Wael H. Ali
M. Benosman
S. Mowlavi
AI4CE
181
1
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10 Oct 2025
Lang-PINN: From Language to Physics-Informed Neural Networks via a Multi-Agent Framework
Xin He
Liangliang You
Hongduan Tian
Bo Han
Ivor Tsang
Yew-Soon Ong
PINN
AI4CE
249
3
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03 Oct 2025
Integrating Newton's Laws with deep learning for enhanced physics-informed compound flood modelling
Soheil Radfar
Faezeh Maghsoodifar
Hamed Moftakhari
Hamid Moradkhani
PINN
AI4CE
111
2
0
20 Jul 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
415
7
0
12 Jun 2025
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs
Computer Methods in Applied Mechanics and Engineering (CMAME), 2025
Sidharth S. Menon
Ameya D. Jagtap
PINN
934
10
0
06 May 2025
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving
Jianing Huang
Kaixuan Zhang
Youjia Wu
Ze Cheng
AI4CE
271
2
0
01 Apr 2025
Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture
Zuyu Xu
Bin Lv
241
4
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30 Mar 2025
Physics-Informed Deep B-Spline Networks
Zhuoyuan Wang
Raffaele Romagnoli
Jasmine Ratchford
Yorie Nakahira
PINN
AI4CE
293
1
0
21 Mar 2025
Machine learning for modelling unstructured grid data in computational physics: a review
Information Fusion (Inf. Fusion), 2025
Sibo Cheng
Marc Bocquet
Weiping Ding
Tobias S. Finn
Rui Fu
...
Yong Zeng
Mingrui Zhang
Hao Zhou
Kewei Zhu
Rossella Arcucci
PINN
AI4CE
596
24
0
13 Feb 2025
From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning
Juan Diego Toscano
Vivek Oommen
Alan John Varghese
Zongren Zou
Nazanin Ahmadi Daryakenari
Chenxi Wu
George Karniadakis
PINN
AI4CE
322
160
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17 Oct 2024
Federated scientific machine learning for approximating functions and solving differential equations with data heterogeneity
Handi Zhang
Langchen Liu
Lu Lu
FedML
262
8
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17 Oct 2024
Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers
Chuqi Chen
Qixuan Zhou
Yahong Yang
Yang Xiang
Tao Luo
275
7
0
08 Oct 2024
Robust Weight Initialization for Tanh Neural Networks with Fixed Point Analysis
International Conference on Learning Representations (ICLR), 2024
Hyunwoo Lee
Hayoung Choi
Hyunju Kim
264
6
0
03 Oct 2024
Non-overlapping, Schwarz-type Domain Decomposition Method for Physics and Equality Constrained Artificial Neural Networks
Computer Methods in Applied Mechanics and Engineering (CMAME), 2024
Qifeng Hu
S. Basir
Inanc Senocak
346
8
0
20 Sep 2024
ASPINN: An asymptotic strategy for solving singularly perturbed differential equations
Sen Wang
Peizhi Zhao
Tao Song
380
2
0
20 Sep 2024
Two-level deep domain decomposition method
V. Dolean
Serge Gratton
Alexander Heinlein
Valentin Mercier
AI4CE
238
0
0
22 Aug 2024
Parameterized Physics-informed Neural Networks for Parameterized PDEs
International Conference on Machine Learning (ICML), 2024
Woojin Cho
Minju Jo
Haksoo Lim
Kookjin Lee
Dongeun Lee
Sanghyun Hong
Noseong Park
PINN
AI4CE
262
48
1
18 Aug 2024
NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements
K. Shukla
Zongren Zou
Chi Hin Chan
Additi Pandey
Zhicheng Wang
George Karniadakis
PINN
250
25
0
30 Jul 2024
Generalizable Physics-Informed Learning for Stochastic Safety-Critical Systems
Zhuoyuan Wang
Albert Chern
Yorie Nakahira
499
3
0
11 Jul 2024
Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems
Amanda A. Howard
Ashish S. Nair
Sarah H. Murphy
Alexander Heinlein
P. Stinis
AI4CE
540
41
0
28 Jun 2024
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks
K. Shukla
Juan Diego Toscano
Zhicheng Wang
Zongren Zou
George Karniadakis
366
192
0
05 Jun 2024
Discovering Physics-Informed Neural Networks Model for Solving Partial Differential Equations through Evolutionary Computation
Swarm and Evolutionary Computation (Swarm Evol. Comput.), 2024
Bo Zhang
Chao Yang
PINN
324
8
0
18 May 2024
Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations
Ye Liu
Jie-Ying Li
Li-sheng Zhang
Lei‐Lei Guo
Zhi-Yong Zhang
AI4CE
218
4
0
29 Apr 2024
Physics-informed Deep Learning to Solve Three-dimensional Terzaghi Consolidation Equation: Forward and Inverse Problems
The Arabian journal for science and engineering (AJSE), 2024
Biao Yuan
Ana Heitor
He Wang
Xiaohui Chen
AI4CE
PINN
276
6
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08 Jan 2024
Machine learning and domain decomposition methods -- a survey
A. Klawonn
M. Lanser
J. Weber
AI4CE
247
25
0
21 Dec 2023
Neural-Integrated Meshfree (NIM) Method: A differentiable programming-based hybrid solver for computational mechanics
Computer Methods in Applied Mechanics and Engineering (CMAME), 2023
Honghui Du
QiZhi He
AI4CE
480
15
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21 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations
Valentin Duruisseaux
Amit Chakraborty
AI4CE
317
1
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04 Nov 2023
Transfer learning for improved generalizability in causal physics-informed neural networks for beam simulations
Engineering applications of artificial intelligence (Eng. Appl. Artif. Intell.), 2023
Taniya Kapoor
Hongrui Wang
Alfredo Núñez
R. Dollevoet
AI4CE
PINN
223
37
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01 Nov 2023
TSONN: Time-stepping-oriented neural network for solving partial differential equations
W. Cao
Weiwei Zhang
AI4TS
214
3
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25 Oct 2023
Randomized Forward Mode of Automatic Differentiation For Optimization Algorithms
Khemraj Shukla
Yeonjong Shin
ODL
255
6
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22 Oct 2023
Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones
Christian Berger
Sadok Ben Toumia
Zijian Zhou
Zhenya Yan
PINN
248
18
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29 Sep 2023
Deep Learning in Deterministic Computational Mechanics
L. Herrmann
Stefan Kollmannsberger
AI4CE
PINN
383
2
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27 Sep 2023
Deep smoothness WENO scheme for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators
Tatiana Kossaczká
Ameya Dilip Jagtap
Matthias Ehrhardt
219
2
0
18 Sep 2023
Approximating High-Dimensional Minimal Surfaces with Physics-Informed Neural Networks
Steven Zhou
Xiaojing Ye
PINN
263
1
0
05 Sep 2023
Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers
International Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2023
Arthur Feeney
Zitong Li
Ramin Bostanabad
Aparna Chandramowlishwaran
AI4CE
236
4
0
28 Aug 2023
A Generalized Schwarz-type Non-overlapping Domain Decomposition Method using Physics-constrained Neural Networks
S. Basir
Inanc Senocak
AI4CE
339
5
0
23 Jul 2023
Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies
SIAM Journal on Scientific Computing (SISC), 2023
Alena Kopanicáková
Hardik Kothari
George Karniadakis
Rolf Krause
AI4CE
302
27
0
30 Jun 2023
MyCrunchGPT: A chatGPT assisted framework for scientific machine learning
Journal of Machine Learning for Modeling and Computing (JMLMC), 2023
Varun V. Kumar
Leonard Gleyzer
Adar Kahana
K. Shukla
George Karniadakis
AI4CE
382
17
0
27 Jun 2023
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs
Neural Information Processing Systems (NeurIPS), 2023
Zhongkai Hao
J. Yao
Yan Yu
Hang Su
Ziao Wang
...
Zeyu Xia
Yichi Zhang
Songming Liu
Lu Lu
Jun Zhu
PINN
335
82
0
15 Jun 2023
Learning from Integral Losses in Physics Informed Neural Networks
International Conference on Machine Learning (ICML), 2023
Ehsan Saleh
Saba Ghaffari
Timothy Bretl
Luke N. Olson
Matthew West
PINN
AI4CE
403
6
0
27 May 2023
PINNs error estimates for nonlinear equations in
R
\mathbb{R}
R
-smooth Banach spaces
Jiexing Gao
Yurii Zakharian
270
2
0
18 May 2023
A Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data
Computer Methods in Applied Mechanics and Engineering (CMAME), 2023
Elham Kiyani
K. Shukla
George Karniadakis
M. Karttunen
283
34
0
18 May 2023
Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models
Communications in Computational Physics (Commun. Comput. Phys.), 2023
S. Shekarpaz
Fanhai Zeng
G. Karniadakis
PINN
302
9
0
26 Apr 2023
Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear PDEs
Jinshuai Bai
Guirong Liu
Ashish Gupta
Laith Alzubaidi
Xinzhu Feng
Yuantong T. Gu
PINN
273
1
0
13 Apr 2023
Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion
Xiongbin Yan
Zhi-Qin John Xu
Zheng Ma
264
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0
03 Apr 2023
A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions
Journal of Computational Physics (JCP), 2023
Michael Penwarden
Ameya Dilip Jagtap
Shandian Zhe
George Karniadakis
Robert M. Kirby
PINN
AI4CE
390
96
0
28 Feb 2023
h-analysis and data-parallel physics-informed neural networks
Scientific Reports (Sci Rep), 2023
Paul Escapil-Inchauspé
G. A. Ruz
PINN
AI4CE
337
5
0
17 Feb 2023
A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems
A. Klawonn
M. Lanser
J. Weber
OOD
250
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13 Feb 2023
Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains
International Journal for Numerical Methods in Engineering (IJNME), 2023
Ali Harandi
Ahmad Moeineddin
Michael Kaliske
Stefanie Reese
Shahed Rezaei
AI4CE
PINN
328
71
0
09 Feb 2023
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