VarNet: Variational Neural Networks for the Solution of Partial Differential Equations

16 December 2019

Papers citing "VarNet: Variational Neural Networks for the Solution of Partial Differential Equations"

10 / 10 papers shown

Title
The Finite Element Neural Network Method: One Dimensional Study Mohammed Abda Elsa Piollet Christopher Blake Frédérick P. Gosselin 97 0 0 21 Jan 2025
An efficient hp-Variational PINNs framework for incompressible Navier-Stokes equations T. Anandh Divij Ghose Ankit Tyagi Abhineet Gupta Suranjan Sarkar Sashikumaar Ganesan 48 0 0 06 Sep 2024
ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations Yaohua Zang Gang Bao 51 4 0 21 May 2023
A Deep Double Ritz Method (D $^2$ RM) for solving Partial Differential Equations using Neural Networks C. Uriarte David Pardo I. Muga J. Muñoz‐Matute 54 18 0 07 Nov 2022
Learning To Estimate Regions Of Attraction Of Autonomous Dynamical Systems Using Physics-Informed Neural Networks Cody Scharzenberger Joe Hays 45 3 0 18 Nov 2021
Data-Centric Engineering: integrating simulation, machine learning and statistics. Challenges and Opportunities Indranil Pan L. Mason Omar K. Matar AI4CE 55 45 0 07 Nov 2021
Variational Physics Informed Neural Networks: the role of quadratures and test functions S. Berrone C. Canuto Moreno Pintore 41 41 0 05 Sep 2021
Bayesian neural networks for weak solution of PDEs with uncertainty quantification Xiaoxuan Zhang K. Garikipati AI4CE 51 11 0 13 Jan 2021
DiscretizationNet: A Machine-Learning based solver for Navier-Stokes Equations using Finite Volume Discretization Rishikesh Ranade C. Hill Jay Pathak AI4CE 64 124 0 17 May 2020
Deep Learning for Robotic Mass Transport Cloaking Reza Khodayi-mehr Michael M. Zavlanos 24 10 0 11 Dec 2018