An Implicit GNN Solver for Poisson-like problems

An Implicit GNN Solver for Poisson-like problems

6 February 2023

Matthieu Nastorg

Guillaume Charpiat

Marc Schoenauer

Papers citing "An Implicit GNN Solver for Poisson-like problems"

19 / 19 papers shown

Title
IGNN-Solver: A Graph Neural Solver for Implicit Graph Neural Networks Junchao Lin Zenan Ling Zhanbo Feng Feng Zhou Jingwen Xu Feng Zhou Tianqi Hou Zhenyu Liao Robert C. Qiu GNN AI4CE 91 0 0 11 Oct 2024
DS-GPS : A Deep Statistical Graph Poisson Solver (for faster CFD simulations) Matthieu Nastorg Marc Schoenauer Guillaume Charpiat T. Faney J. Gratien M. Bucci 57 2 0 21 Nov 2022
Using neural networks to solve the 2D Poisson equation for electric field computation in plasma fluid simulations Li Cheng Ekhi Ajuria Illarramendi Guillaume Bogopolsky M. Bauerheim B. Cuenot 61 19 0 27 Sep 2021
Performance and accuracy assessments of an incompressible fluid solver coupled with a deep Convolutional Neural Network Ekhi Ajuria Illarramendi M. Bauerheim B. Cuenot 56 19 0 20 Sep 2021
Stabilizing Equilibrium Models by Jacobian Regularization Shaojie Bai V. Koltun J. Zico Kolter 51 57 0 28 Jun 2021
Simulating Continuum Mechanics with Multi-Scale Graph Neural Networks Mario Lino C. Cantwell Anil A. Bharath Stathi Fotiadis AI4CE 33 48 0 09 Jun 2021
Efficient training of physics-informed neural networks via importance sampling M. A. Nabian R. J. Gladstone Hadi Meidani DiffM PINN 97 228 0 26 Apr 2021
POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition S. Fresca Andrea Manzoni AI4CE 42 213 0 28 Jan 2021
Machine learning for metal additive manufacturing: Predicting temperature and melt pool fluid dynamics using physics-informed neural networks Qiming Zhu Zeliang Liu Jinhui Yan PINN AI4CE 10 300 0 28 Jul 2020
Learning to Simulate Complex Physics with Graph Networks Alvaro Sanchez-Gonzalez Jonathan Godwin Tobias Pfaff Rex Ying J. Leskovec Peter W. Battaglia PINN AI4CE 104 1,065 0 21 Feb 2020
Graph networks as learnable physics engines for inference and control Alvaro Sanchez-Gonzalez N. Heess Jost Tobias Springenberg J. Merel Martin Riedmiller R. Hadsell Peter W. Battaglia GNN AI4CE PINN OCL 137 597 0 04 Jun 2018
Latent-space Physics: Towards Learning the Temporal Evolution of Fluid Flow S. Wiewel M. Becher N. Thürey AI4CE 68 274 0 27 Feb 2018
Graph Attention Networks Petar Velickovic Guillem Cucurull Arantxa Casanova Adriana Romero Pietro Lio Yoshua Bengio GNN 309 19,991 0 30 Oct 2017
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 52 1,134 0 02 Aug 2017
A Compositional Object-Based Approach to Learning Physical Dynamics Michael Chang T. Ullman Antonio Torralba J. Tenenbaum AI4CE OCL 328 439 0 01 Dec 2016
Interaction Networks for Learning about Objects, Relations and Physics Peter W. Battaglia Razvan Pascanu Matthew Lai Danilo Jimenez Rezende Koray Kavukcuoglu AI4CE OCL PINN GNN 455 1,405 0 01 Dec 2016
Layer Normalization Jimmy Lei Ba J. Kiros Geoffrey E. Hinton 241 10,412 0 21 Jul 2016
Recent Advances in Convolutional Neural Networks Jiuxiang Gu Zhenhua Wang Jason Kuen Lianyang Ma Amir Shahroudy ... Xingxing Wang Li Wang Gang Wang Jianfei Cai Tsuhan Chen 122 5,184 0 22 Dec 2015
Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling Junyoung Chung Çağlar Gülçehre Kyunghyun Cho Yoshua Bengio 281 12,662 0 11 Dec 2014