Abstract
In this chapter, we are mainly interested in optimal L ∞(Ω)-control of the coefficients of an elliptic Dirichlet problem. We prove an existence result for this problem using the direct method of Calculus of Variations, and then we provide a sensitivity analysis of this problem on a reticulated structured with respect to the domain perturbation and discuss possible ways for the approximation of its solutions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Kogut, P.I., Leugering, G.R. (2011). Optimal Control Problems in Coefficients: Sensitivity Analysis and Approximation. In: Optimal Control Problems for Partial Differential Equations on Reticulated Domains. Systems & Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8149-4_16
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8149-4_16
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8148-7
Online ISBN: 978-0-8176-8149-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)