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  3. 2003.05385
  4. Cited By
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain
  Decomposition

hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition

Computer Methods in Applied Mechanics and Engineering (CMAME), 2020
11 March 2020
E. Kharazmi
Zhongqiang Zhang
George Karniadakis
ArXiv (abs)PDFHTML

Papers citing "hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition"

50 / 180 papers shown
A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
Xuyang Li
John Harlim
Romit Maulik
R. Maulik
AI4TS
393
0
0
10 Nov 2025
AgenticSciML: Collaborative Multi-Agent Systems for Emergent Discovery in Scientific Machine Learning
AgenticSciML: Collaborative Multi-Agent Systems for Emergent Discovery in Scientific Machine Learning
Qile Jiang
George Em Karniadakis
AI4CE
308
10
0
10 Nov 2025
Event-driven physics-informed operator learning for reliability analysis
Event-driven physics-informed operator learning for reliability analysis
Shailesh Garg
Souvik Chakraborty
AI4CE
272
0
0
08 Nov 2025
Learning Under Laws: A Constraint-Projected Neural PDE Solver that Eliminates Hallucinations
Learning Under Laws: A Constraint-Projected Neural PDE Solver that Eliminates Hallucinations
Mainak Singha
PINN
368
1
0
05 Nov 2025
Auto-Adaptive PINNs with Applications to Phase Transitions
Auto-Adaptive PINNs with Applications to Phase Transitions
Kevin Buck
Woojeong Kim
246
0
0
28 Oct 2025
PINN Balls: Scaling Second-Order Methods for PINNs with Domain Decomposition and Adaptive Sampling
PINN Balls: Scaling Second-Order Methods for PINNs with Domain Decomposition and Adaptive Sampling
Andrea Bonfanti
Ismael Medina
Roman List
Björn Staeves
Roberto Santana
M. Ellero
161
0
0
24 Oct 2025
A physics-aware deep learning model for shear band formation around collapsing pores in shocked reactive materials
A physics-aware deep learning model for shear band formation around collapsing pores in shocked reactive materialsJournal of Applied Physics (JAP), 2025
Xinlun Cheng
Bingzhe Chen
Joseph B. Choi
Y. Nguyen
P. Seshadri
Mayank Verma
H. Udaykumar
Stephen Seung-Yeob Baek
AI4CE
139
1
0
08 Oct 2025
Enhancing PINN Performance Through Lie Symmetry Group
Enhancing PINN Performance Through Lie Symmetry Group
Ali Haider Shah
Naveed R. Butt
Asif Ahmad
Muhammad Omer Bin Saeed
PINN
229
0
0
30 Sep 2025
Multi-patch isogeometric neural solver for partial differential equations on computer-aided design domains
Multi-patch isogeometric neural solver for partial differential equations on computer-aided design domains
M. V. Tresckow
Ion Gabriel Ion
Dimitrios Loukrezis
AI4CE
174
0
0
29 Sep 2025
A Neural Network for the Identical Kuramoto Equation: Architectural Considerations and Performance Evaluation
A Neural Network for the Identical Kuramoto Equation: Architectural Considerations and Performance Evaluation
Nishantak Panigrahi
Mayank Patwal
116
0
0
17 Sep 2025
A Variational Physics-Informed Neural Network Framework Using Petrov-Galerkin Method for Solving Singularly Perturbed Boundary Value Problems
A Variational Physics-Informed Neural Network Framework Using Petrov-Galerkin Method for Solving Singularly Perturbed Boundary Value Problems
Vijay Kumar
Gautam Singh
93
0
0
13 Sep 2025
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts
Fanze Kong
Chen-Chih Lai
Yubin Lu
160
0
0
31 Aug 2025
Breaking the Precision Ceiling in Physics-Informed Neural Networks: A Hybrid Fourier-Neural Architecture for Ultra-High Accuracy
Breaking the Precision Ceiling in Physics-Informed Neural Networks: A Hybrid Fourier-Neural Architecture for Ultra-High Accuracy
Wei Shan Lee
Chi Kiu Althina Chau
Kei Chon Sio
Kam Ian Leong
152
0
0
28 Jul 2025
Towards Robust Surrogate Models: Benchmarking Machine Learning Approaches to Expediting Phase Field Simulations of Brittle Fracture
Towards Robust Surrogate Models: Benchmarking Machine Learning Approaches to Expediting Phase Field Simulations of Brittle Fracture
Erfan Hamdi
Emma Lejeune
OODAI4CE
333
3
0
09 Jul 2025
A Survey of Physics-Informed AI for Complex Urban Systems
A Survey of Physics-Informed AI for Complex Urban Systems
En Xu
Huandong Wang
Yunke Zhang
Sibo Li
Yinzhou Tang
...
Yuming Lin
Yuan Yuan
Xiaochen Fan
Jingtao Ding
Yong Li
AI4CE
229
7
0
09 Jun 2025
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs
Salah A Faroughi
Farinaz Mostajeran
181
8
0
09 Jun 2025
Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations
Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential EquationsEngineering applications of artificial intelligence (EAAI), 2025
Luis Kin Miyatake
E. Camponogara
Eric A. Antonelo
Alexey Pavlov
PINNAI4CE
136
2
0
06 Jun 2025
Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs
Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs
Wenxuan Huo
Qiang He
Gang Zhu
Weifeng Huang
PINNAI4CE
239
0
0
06 Jun 2025
Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient
Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient
Conor Rowan
John A. Evans
K. Maute
Alireza Doostan
338
8
0
04 Jun 2025
A decomposition-based robust training of physics-informed neural networks for nearly incompressible linear elasticity
A decomposition-based robust training of physics-informed neural networks for nearly incompressible linear elasticity
Josef Dick
Seungchan Ko
Quoc Thong Le Gia
Kassem Mustapha
Sanghyeon Park
203
0
0
28 May 2025
Engineering application of physics-informed neural networks for Saint-Venant torsion
Engineering application of physics-informed neural networks for Saint-Venant torsion
Su Yeong Jo
Sanghyeon Park
Seungchan Ko
Jongcheon Park
Hosung Kim
Sangseung Lee
Joongoo Jeon
PINN
211
0
0
18 May 2025
Good Things Come in Pairs: Paired Autoencoders for Inverse Problems
Good Things Come in Pairs: Paired Autoencoders for Inverse Problems
Matthias Chung
Bas Peters
Michael Solomon
375
7
0
10 May 2025
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force methodComputer Methods in Applied Mechanics and Engineering (CMAME), 2025
Conor Rowan
K. Maute
Alireza Doostan
AI4CE
260
3
0
08 May 2025
Reliable and efficient inverse analysis using physics-informed neural networks with normalized distance functions and adaptive weight tuning
Reliable and efficient inverse analysis using physics-informed neural networks with normalized distance functions and adaptive weight tuning
Shota Deguchi
Mitsuteru Asai
PINNAI4CE
679
1
0
25 Apr 2025
Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture
Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture
Zuyu Xu
Bin Lv
254
4
0
30 Mar 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations
Hamidreza Eivazi
Jendrik-Alexander Tröger
Stefan H. A. Wittek
Stefan Hartmann
Andreas Rausch
AI4CE
563
3
0
27 Mar 2025
A multi-agentic framework for real-time, autonomous freeform metasurface design
A multi-agentic framework for real-time, autonomous freeform metasurface design
Robert Lupoiu
Yixuan Shao
Tianxiang Dai
Chenkai Mao
Kofi Edee
Jonathan A. Fan
AI4CE
314
17
0
26 Mar 2025
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective
Sizhuang He
Ananyae Kumar Bhartari
Bowen Li
P. Perdikaris
PINN
522
52
0
02 Feb 2025
The Finite Element Neural Network Method: One Dimensional Study
The Finite Element Neural Network Method: One Dimensional Study
Mohammed Abda
Elsa Piollet
Christopher Blake
Frédérick P. Gosselin
418
1
0
21 Jan 2025
Physics-informed deep learning for infectious disease forecasting
Physics-informed deep learning for infectious disease forecasting
Y. Qian
Éric Marty
Avranil Basu
Avranil Basu
Eamon B. O'Dea
Xianqiao Wang
Spencer Fox
Pejman Rohani
John M. Drake
He Li
PINNAI4CE
385
10
0
16 Jan 2025
About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks
About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks
V. A. Es'kin
Alexey O. Malkhanov
Mikhail E. Smorkalov
MLT
313
0
0
31 Dec 2024
Gaussian Process Priors for Boundary Value Problems of Linear Partial Differential Equations
Gaussian Process Priors for Boundary Value Problems of Linear Partial Differential Equations
Jianle iHuang
Marc Härkönen
Markus Lange-Hegermann
Bogdan Raiță
366
1
0
25 Nov 2024
Improving hp-Variational Physics-Informed Neural Networks for
  Steady-State Convection-Dominated Problems
Improving hp-Variational Physics-Informed Neural Networks for Steady-State Convection-Dominated ProblemsComputer Methods in Applied Mechanics and Engineering (CMAME), 2024
T. Anandh
Divij Ghose
Himanshu Jain
Pratham Sunkad
Sashikumaar Ganesan
V. John
229
1
0
14 Nov 2024
From PINNs to PIKANs: Recent Advances in Physics-Informed Machine
  Learning
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
PINNAI4CE
339
170
0
17 Oct 2024
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Dual Cone Gradient Descent for Training Physics-Informed Neural NetworksNeural Information Processing Systems (NeurIPS), 2024
Youngsik Hwang
Dong-Young Lim
AI4CE
479
14
0
27 Sep 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
Alex Glyn-Davies
Arnaud Vadeboncoeur
O. Deniz Akyildiz
Ieva Kazlauskaite
Mark Girolami
PINN
440
4
0
10 Sep 2024
Harnessing physics-informed operators for high-dimensional reliability
  analysis problems
Harnessing physics-informed operators for high-dimensional reliability analysis problemsProbabilistic Engineering Mechanics (PEM), 2024
N Navaneeth
Tushar
Souvik Chakraborty
AI4CE
216
2
0
07 Sep 2024
An efficient hp-Variational PINNs framework for incompressible
  Navier-Stokes equations
An efficient hp-Variational PINNs framework for incompressible Navier-Stokes equations
T. Anandh
Divij Ghose
Ankit Tyagi
Abhineet Gupta
Suranjan Sarkar
Sashikumaar Ganesan
192
1
0
06 Sep 2024
Physics-Informed Neural Networks and Extensions
Physics-Informed Neural Networks and Extensions
Maziar Raissi
P. Perdikaris
Nazanin Ahmadi
George Karniadakis
PINNAI4CE
346
19
0
29 Aug 2024
Domain-decoupled Physics-informed Neural Networks with Closed-form
  Gradients for Fast Model Learning of Dynamical Systems
Domain-decoupled Physics-informed Neural Networks with Closed-form Gradients for Fast Model Learning of Dynamical SystemsInternational Conference on Informatics in Control, Automation and Robotics (ICINCO), 2024
Henrik Krauss
Tim-Lukas Habich
Max Bartholdt
Thomas Seel
Moritz Schappler
PINNAI4CE
420
6
0
27 Aug 2024
General-Kindred Physics-Informed Neural Network to the Solutions of
  Singularly Perturbed Differential Equations
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential EquationsThe Physics of Fluids (Phys. Fluids), 2024
Sen Wang
Peizhi Zhao
Qinglong Ma
Tao Song
PINN
241
7
0
27 Aug 2024
Weak neural variational inference for solving Bayesian inverse problems
  without forward models: applications in elastography
Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography
Vincent C. Scholz
Yaohua Zang
P. Koutsourelakis
351
8
0
30 Jul 2024
Differentiable Neural-Integrated Meshfree Method for Forward and Inverse
  Modeling of Finite Strain Hyperelasticity
Differentiable Neural-Integrated Meshfree Method for Forward and Inverse Modeling of Finite Strain Hyperelasticity
Honghui Du
Binyao Guo
QiZhi He
AI4CE
262
7
0
15 Jul 2024
Initialization-enhanced Physics-Informed Neural Network with Domain
  Decomposition (IDPINN)
Initialization-enhanced Physics-Informed Neural Network with Domain Decomposition (IDPINN)
Chenhao Si
Ming Yan
AI4CEPINN
296
15
0
05 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs
  with applications in heterogeneous media
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media
Matthaios Chatzopoulos
P. Koutsourelakis
AI4CE
356
7
0
29 May 2024
RoPINN: Region Optimized Physics-Informed Neural Networks
RoPINN: Region Optimized Physics-Informed Neural NetworksNeural Information Processing Systems (NeurIPS), 2024
Haixu Wu
Huakun Luo
Yuezhou Ma
Jianmin Wang
Mingsheng Long
AI4CE
223
29
0
23 May 2024
Discovering Physics-Informed Neural Networks Model for Solving Partial
  Differential Equations through Evolutionary Computation
Discovering Physics-Informed Neural Networks Model for Solving Partial Differential Equations through Evolutionary ComputationSwarm and Evolutionary Computation (Swarm Evol. Comput.), 2024
Bo Zhang
Chao Yang
PINN
345
8
0
18 May 2024
Adaptive deep density approximation for stochastic dynamical systems
Adaptive deep density approximation for stochastic dynamical systemsJournal of Scientific Computing (J. Sci. Comput.), 2024
Junjie He
Qifeng Liao
Xiaoliang Wan
266
6
0
05 May 2024
Discovering intrinsic multi-compartment pharmacometric models using
  Physics Informed Neural Networks
Discovering intrinsic multi-compartment pharmacometric models using Physics Informed Neural Networks
I. Nasim
Adam Nasim
158
1
0
30 Apr 2024
Symmetry group based domain decomposition to enhance physics-informed
  neural networks for solving partial differential equations
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
228
6
0
29 Apr 2024
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