A Phase Shift Deep Neural Network for High Frequency Approximation and Wave Problems

In this paper, we propose a phase shift deep neural network (PhaseDNN), which provides a uniform wideband convergence in approximating high frequency functions and solutions of wave equations. The PhaseDNN makes use of the fact that common DNNs often achieve convergence in the low frequency range fi...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2019-12
Hauptverfasser:	Cai, Wei, Li, Xiaoguang, Liu, Lizuo
Format:	Artikel
Sprache:	eng
Schlagworte:	Broadband Convergence Frequency ranges Helmholtz equations High frequencies Inhomogeneous media Learning Low frequencies Neural networks Phase shift Wave equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!