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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Veröffentlicht in:	Nonlinear analysis: real world applications Jg. 72; S. 103864
Hauptverfasser:	Cheng, Xiaoliang, Shen, Xing, Wang, Xilu, Liang, Kewei
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Ltd 01.08.2023
Schlagworte:	Deep neural networks Error analysis Minimization optimization Obstacle problems Deep neural networks Error analysis Minimization optimization Obstacle problems
ISSN:	1468-1218, 1878-5719
Online-Zugang:	Volltext
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