Model order reduction for optimality systems through empirical gramians

In the present article, optimal control problems for linear parabolic partial differential equations (PDEs) with time-dependent coefficient functions are considered. One of the common approach in literature is to derive the first-order sufficient optimality system and to apply a finite element (FE)...

Full description

Bibliographic Details
Main Authors: Luca Mechelli, Jan Rohleff, Stefan Volkwein
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-12-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2023.1144142/full