OPTIMAL ACTUATOR DESIGN BASED ON SHAPE CALCULUS∗

作     者：Kalise, Dante Kunisch, Karl Sturm, Kevin 

作者机构：Department of Mathematics Imperial College London South Kensington Campus LondonSW7 2AZ United Kingdom Johann Radon Institute for Computational and Applied Mathematics Austrian Academy of Sciences Institute of Analysis and Scientific Computing University of Graz Heinrichstr. 36 Graz8010 Austria Institute for Analysis and Scientific Computing TU Wien Wiedner Hauptstr. 8-10 Wien1040 Austria 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2017年

核心收录：

主　　题：Numerical methods 

摘      要：An approach to optimal actuator design based on shape and topology optimisation techniques is presented. For linear diffusion equations, two scenarios are considered. For the first one, best actuators are determined depending on a given initial condition. In the second scenario, optimal actuators are determined based on all initial conditions not exceeding a chosen norm. Shape and topological sensitivities of these cost functionals are determined. A numerical algorithm for optimal actuator design based on the sensitivities and a level-set method is presented. Numerical results support the proposed *** Codes 49Q10, 49M05, 93B40, 65D99, 93C20 © 2017, CC BY.