A deep neural network-based method for solving obstacle problems

In this paper, we propose a method based on deep neural networks to solve obstacle problems. By introducing penalty terms, we reformulate the obstacle problem as a minimization optimization problem and utilize a deep neural network to approximate its solution. The convergence analysis is established...

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Vydané v:	Nonlinear analysis: real world applications Ročník 72; s. 103864
Hlavní autori:	Cheng, Xiaoliang, Shen, Xing, Wang, Xilu, Liang, Kewei
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Ltd 01.08.2023
Predmet:	Deep neural networks Error analysis Minimization optimization Obstacle problems Deep neural networks Error analysis Minimization optimization Obstacle problems
ISSN:	1468-1218, 1878-5719
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