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Geometry-Informed Neural Operator for Large-Scale 3D PDEs

Geometry-Informed Neural Operator for Large-Scale 3D PDEs

1 September 2023
Zong-Yi Li
Nikola B. Kovachki
Chris Choy
Boyi Li
Jean Kossaifi
S. Otta
M. A. Nabian
Maximilian Stadler
Christian Hundt
Kamyar Azizzadenesheli
Anima Anandkumar
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Geometry-Informed Neural Operator for Large-Scale 3D PDEs"

36 / 36 papers shown
Title
Mesh-Informed Neural Operator : A Transformer Generative Approach
Mesh-Informed Neural Operator : A Transformer Generative Approach
Yaozhong Shi
Zachary E. Ross
D. Asimaki
Kamyar Azizzadenesheli
AI4CE
42
0
0
20 Jun 2025
BSA: Ball Sparse Attention for Large-scale Geometries
BSA: Ball Sparse Attention for Large-scale Geometries
Catalin E. Brita
Hieu Nguyen
Lohithsai Yadala Chanchu
Domonkos Nagy
Maksim Zhdanov
27
0
0
14 Jun 2025
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning
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
129
0
0
12 Jun 2025
LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids
LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids
Shilong Tao
Zhe Feng
Haonan Sun
Zhanxing Zhu
Yunhuai Liu
AI4CEPINN
62
0
0
06 Jun 2025
Rectified Flows for Fast Multiscale Fluid Flow Modeling
Rectified Flows for Fast Multiscale Fluid Flow Modeling
Victor Armegioiu
Yannick Ramic
Siddhartha Mishra
DiffMAI4CE
54
0
0
03 Jun 2025
FNOPE: Simulation-based inference on function spaces with Fourier Neural Operators
FNOPE: Simulation-based inference on function spaces with Fourier Neural Operators
Guy Moss
Leah Sophie Muhle
R. Drews
Jakob H Macke
Cornelius Schroder
51
0
0
28 May 2025
Recurrent Neural Operators: Stable Long-Term PDE Prediction
Recurrent Neural Operators: Stable Long-Term PDE Prediction
Zaijun Ye
Chen-Song Zhang
Wansheng Wang
AI4CE
76
0
0
27 May 2025
FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers
FreqMoE: Dynamic Frequency Enhancement for Neural PDE Solvers
Tianyu Chen
Haoyi Zhou
Yunshui Li
Hao Wang
Zhenru Zhang
Tianchen Zhu
Shanghang Zhang
Junlong Li
107
0
0
11 May 2025
Geometry-Informed Neural Operator Transformer
Geometry-Informed Neural Operator Transformer
Qibang Liu
Vincient Zhong
Hadi Meidani
Diab Abueidda
S. Koric
Philippe Geubelle
AI4CE
96
1
0
28 Apr 2025
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains
Zherui Yang
Zhengyang Xue
Ligang Liu
68
0
0
22 Apr 2025
Benchmarking Convolutional Neural Network and Graph Neural Network based Surrogate Models on a Real-World Car External Aerodynamics Dataset
Benchmarking Convolutional Neural Network and Graph Neural Network based Surrogate Models on a Real-World Car External Aerodynamics Dataset
Sam Jacob Jacob
Markus Mrosek
C. Othmer
Harald Köstler
GNN
156
0
0
09 Apr 2025
TripNet: Learning Large-scale High-fidelity 3D Car Aerodynamics with Triplane Networks
TripNet: Learning Large-scale High-fidelity 3D Car Aerodynamics with Triplane Networks
Qian Chen
Mohamed Elrefaie
Angela Dai
Faez Ahmed
3DPCAI4CE
152
1
0
19 Mar 2025
Data-Driven Probabilistic Air-Sea Flux Parameterization
Jiarong Wu
Pavel Perezhogin
D. Gagne
Brandon Reichl
Aneesh C. Subramanian
Elizabeth Thompson
Laure Zanna
138
0
0
06 Mar 2025
Erwin: A Tree-based Hierarchical Transformer for Large-scale Physical Systems
Erwin: A Tree-based Hierarchical Transformer for Large-scale Physical Systems
Maksim Zhdanov
Max Welling
Jan-Willem van de Meent
AI4CE
125
3
0
24 Feb 2025
Stochastic Process Learning via Operator Flow Matching
Stochastic Process Learning via Operator Flow Matching
Yaozhong Shi
Zachary E. Ross
D. Asimaki
Kamyar Azizzadenesheli
166
3
0
10 Jan 2025
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries
Zhihao Li
Haoze Song
Di Xiao
Zhilu Lai
Wei Wang
AI4CE
252
4
0
18 Nov 2024
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows
Benedikt Alkin
Tobias Kronlachner
Samuele Papa
Stefan Pirker
Thomas Lichtenegger
Johannes Brandstetter
PINNAI4CE
130
3
1
14 Nov 2024
Generalizable Motion Planning via Operator Learning
Generalizable Motion Planning via Operator Learning
Sharath Matada
Luke Bhan
Yuanyuan Shi
Nikolay Atanasov
142
0
0
23 Oct 2024
Metamizer: a versatile neural optimizer for fast and accurate physics simulations
Metamizer: a versatile neural optimizer for fast and accurate physics simulations
Nils Wandel
Stefan Schulz
Reinhard Klein
PINNAI4CE
118
1
0
10 Oct 2024
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation
Anthony Zhou
Zijie Li
Michael Schneier
John R Buchanan Jr
Amir Barati Farimani
AI4CEDiffM
178
8
0
02 Oct 2024
Scientific Machine Learning Seismology
Scientific Machine Learning Seismology
Tomohisa Okazaki
PINNAI4CE
167
0
0
27 Sep 2024
A domain decomposition-based autoregressive deep learning model for unsteady and nonlinear partial differential equations
A domain decomposition-based autoregressive deep learning model for unsteady and nonlinear partial differential equations
Sheel Nidhan
Haoliang Jiang
Lalit Ghule
C. Umphrey
Rishikesh Ranade
Jay Pathak
AI4CE
103
0
0
26 Aug 2024
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators
Chuwei Wang
Julius Berner
Zongyi Li
Di Zhou
Jiayun Wang
Jane Bae
Anima Anandkumar
AI4CE
82
3
0
09 Aug 2024
Neural Network Emulator for Atmospheric Chemical ODE
Neural Network Emulator for Atmospheric Chemical ODE
Zhi-Song Liu
Petri S. Clusius
Michael Boy
143
3
0
03 Aug 2024
Active Learning for Neural PDE Solvers
Active Learning for Neural PDE Solvers
Daniel Musekamp
Marimuthu Kalimuthu
David Holzmüller
Makoto Takamoto
Carlos Fernandez
AI4CE
154
8
0
02 Aug 2024
Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs
Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs
Hrishikesh Viswanath
Yue Chang
Julius Berner
Julius Berner
Peter Yichen Chen
Aniket Bera
AI4CE
171
2
0
04 Jul 2024
DrivAerNet++: A Large-Scale Multimodal Car Dataset with Computational Fluid Dynamics Simulations and Deep Learning Benchmarks
DrivAerNet++: A Large-Scale Multimodal Car Dataset with Computational Fluid Dynamics Simulations and Deep Learning Benchmarks
Mohamed Elrefaie
Florin Morar
Angela Dai
Faez Ahmed
PINNAI4CE
160
18
0
13 Jun 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Emilia Magnani
Marvin Pfortner
Tobias Weber
Philipp Hennig
UQCV
131
1
0
07 Jun 2024
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations
Vladislav Trifonov
Alexander Rudikov
Oleg Iliev
Ivan Oseledets
Ekaterina Muravleva
Ekaterina Muravleva
DiffMAI4CE
69
0
0
07 Jun 2024
Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of
  Non-Euclidean Operators
Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators
Blaine Quackenbush
P. Atzberger
AI4CE
91
0
0
16 Apr 2024
Pretraining Codomain Attention Neural Operators for Solving Multiphysics
  PDEs
Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs
Md Ashiqur Rahman
Robert Joseph George
Mogab Elleithy
Daniel Leibovici
Zong-Yi Li
...
Julius Berner
Raymond A. Yeh
Jean Kossaifi
Kamyar Azizzadenesheli
A. Anandkumar
AI4CE
123
23
0
19 Mar 2024
DrivAerNet: A Parametric Car Dataset for Data-Driven Aerodynamic Design and Prediction
DrivAerNet: A Parametric Car Dataset for Data-Driven Aerodynamic Design and Prediction
Mohamed Elrefaie
Angela Dai
Faez Ahmed
DiffMAI4CE
112
12
0
12 Mar 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators
Benedikt Alkin
Andreas Fürst
Simon Schmid
Lukas Gruber
Markus Holzleitner
Johannes Brandstetter
PINNAI4CE
290
13
0
19 Feb 2024
LatticeGraphNet: A two-scale graph neural operator for simulating
  lattice structures
LatticeGraphNet: A two-scale graph neural operator for simulating lattice structures
Ayush Jain
Ehsan Haghighat
Sai Nelaturi
AI4CE
67
4
0
01 Feb 2024
Hybrid Modeling Design Patterns
Hybrid Modeling Design Patterns
Maja Rudolph
Stefan Kurz
Barbara Rakitsch
AI4CE
90
9
0
29 Dec 2023
Guaranteed Approximation Bounds for Mixed-Precision Neural Operators
Guaranteed Approximation Bounds for Mixed-Precision Neural Operators
Renbo Tu
Colin White
Jean Kossaifi
Boris Bonev
Nikola B. Kovachki
Gennady Pekhimenko
Kamyar Azizzadenesheli
Anima Anandkumar
85
11
0
27 Jul 2023
1