Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed
Boundary Conditions

Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions

24 May 2022

Papers citing "Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions"

14 / 14 papers shown

Title
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Y. Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 40 3 0 02 Oct 2024
Physics-embedded Fourier Neural Network for Partial Differential Equations Qingsong Xu Nils Thuerey Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 29 0 0 15 Jul 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates Maria Bånkestad Olof Mogren Aleksis Pirinen 53 1 0 30 May 2024
Graph Neural PDE Solvers with Conservation and Similarity-Equivariance Masanobu Horie Naoto Mitsume AI4CE 32 5 0 25 May 2024
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations Xuan Zhang Jacob Helwig Yu-Ching Lin Yaochen Xie Cong Fu Stephan Wojtowytsch Shuiwang Ji AI4CE 37 6 0 28 Mar 2024
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers for non-stationary and nonlinear simulations on arbitrary meshes Tobias Würth Niklas Freymuth C. Zimmerling Gerhard Neumann Luise Kärger AI4CE 29 1 0 16 Feb 2024
Multi-Level GNN Preconditioner for Solving Large Scale Problems Matthieu Nastorg J. Gratien T. Faney M. Bucci Guillaume Charpiat Marc Schoenauer AI4CE 19 1 0 13 Feb 2024
Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids S. Cho Jae Yong Lee Hyung Ju Hwang GNN AI4CE 16 3 0 13 Feb 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations Andrey Bryutkin Jiahao Huang Zhongying Deng Guang Yang Carola-Bibiane Schönlieb Angelica E. Avilés-Rivero 38 6 0 05 Feb 2024
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 20 10 0 08 Oct 2023
Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks N. R. Franco S. Fresca Filippo Tombari Andrea Manzoni AI4CE 24 16 0 03 Aug 2023
From Zero to Turbulence: Generative Modeling for 3D Flow Simulation Marten Lienen David Ludke Jan Hansen-Palmus Stephan Günnemann DiffM AI4CE 24 23 0 29 May 2023
Equivariant Neural Simulators for Stochastic Spatiotemporal Dynamics Koen Minartz Y. Poels Simon Koop Vlado Menkovski 24 5 0 23 May 2023
Swarm Reinforcement Learning For Adaptive Mesh Refinement Niklas Freymuth Philipp Dahlinger Tobias Würth Simon Reisch Luise Kärger Gerhard Neumann 21 13 0 03 Apr 2023