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Error Estimates for the Deep Ritz Method with Boundary Penalty

Error Estimates for the Deep Ritz Method with Boundary Penalty

1 March 2021
Johannes Müller
Marius Zeinhofer
ArXivPDFHTML

Papers citing "Error Estimates for the Deep Ritz Method with Boundary Penalty"

5 / 5 papers shown
Title
Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural
  Network Derivatives
Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives
Yahong Yang
Haizhao Yang
Yang Xiang
31
19
0
15 May 2023
Achieving High Accuracy with PINNs via Energy Natural Gradients
Achieving High Accuracy with PINNs via Energy Natural Gradients
Johannes Müller
Marius Zeinhofer
13
4
0
25 Feb 2023
Solving Elliptic Problems with Singular Sources using Singularity
  Splitting Deep Ritz Method
Solving Elliptic Problems with Singular Sources using Singularity Splitting Deep Ritz Method
Tianhao Hu
Bangti Jin
Zhi Zhou
28
6
0
07 Sep 2022
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
93
126
0
14 Dec 2020
Fourier Neural Operator for Parametric Partial Differential Equations
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
220
2,287
0
18 Oct 2020
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