PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE
Solvers

PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers

26 July 2022

Byeonghyeon Lee

Papers citing "PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers"

15 / 15 papers shown

Title
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective Sifan Wang Ananyae Kumar Bhartari Bowen Li P. Perdikaris PINN 54 4 0 02 Feb 2025
HyResPINNs: Hybrid Residual Networks for Adaptive Neural and RBF Integration in Solving PDEs Madison Cooley Robert M. Kirby Shandian Zhe Varun Shankar PINN AI4CE 18 0 0 04 Oct 2024
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations Sen Wang Peizhi Zhao Qinglong Ma Tao Song PINN 18 2 0 27 Aug 2024
FINER++: Building a Family of Variable-periodic Functions for Activating Implicit Neural Representation Hao Zhu Zhen Liu Qi Zhang Jingde Fu Weibing Deng Zhan Ma Yanwen Guo Xun Cao 54 1 0 28 Jul 2024
Towards the Spectral bias Alleviation by Normalizations in Coordinate Networks Zhicheng Cai Hao Zhu Qiu Shen Xinran Wang Xun Cao 19 0 0 25 Jul 2024
Physics informed cell representations for variational formulation of multiscale problems Yuxiang Gao Soheil Kolouri R. Duddu AI4CE 14 0 0 27 May 2024
PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks Sifan Wang Bowen Li Yuhan Chen P. Perdikaris AI4CE PINN 16 27 0 01 Feb 2024
RHINO: Regularizing the Hash-based Implicit Neural Representation Hao Zhu Feng Liu Qi Zhang Xun Cao Zhan Ma 19 8 0 22 Sep 2023
An Expert's Guide to Training Physics-informed Neural Networks Sifan Wang Shyam Sankaran Hanwen Wang P. Perdikaris PINN 21 95 0 16 Aug 2023
Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations Benjamin Moseley Andrew Markham T. Nissen‐Meyer PINN 37 206 0 16 Jul 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sifan Wang Hanwen Wang P. Perdikaris 129 435 0 18 Dec 2020
$NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework$ NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework O. Hennigh S. Narasimhan M. A. Nabian Akshay Subramaniam Kaustubh Tangsali M. Rietmann J. Ferrandis Wonmin Byeon Z. Fang S. Choudhry PINN AI4CE 91 125 0 14 Dec 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 203 2,254 0 18 Oct 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 170 755 0 13 Mar 2020
MobileNets: Efficient Convolutional Neural Networks for Mobile Vision Applications Andrew G. Howard Menglong Zhu Bo Chen Dmitry Kalenichenko Weijun Wang Tobias Weyand M. Andreetto Hartwig Adam 3DH 948 20,471 0 17 Apr 2017