Real-Time Computing for a Parameterized Feedback Control Problem of Boussinesq Equations by POD and Deep Learning
Year: 2024
Author: Guang-Ri Piao, Hyung-Chun Lee
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 3 : pp. 507–529
Abstract
An efficient real-time computational method for a feedback control problem of the Boussinesq equations is studied. We consider a simple and effective feedback control law based on the relationship between the control and adjoint variables in the optimality system. We investigate a closure type modeling in reduced order model (ROM) of this problem for real-time computing. In order to improve the existing well-known POD-ROM method, the deep learning technique, which is currently being actively researched, is studied and applied. Computational results presented show that the suggested methods work well.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-094.250623
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 3 : pp. 507–529
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Optimal control feedback control Boussinesq finite element POD LSTM.