@Article{EAJAM-14-507, author = {Piao , Guang-Ri and Lee , Hyung-Chun}, title = {Real-Time Computing for a Parameterized Feedback Control Problem of Boussinesq Equations by POD and Deep Learning}, journal = {East Asian Journal on Applied Mathematics}, year = {2024}, volume = {14}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.2023-094.250623}, url = {http://global-sci.org/intro/article_detail/eajam/23159.html} }