@inproceedings{b98a8fc013e7419ea863703fc8505ab3,
title = "Reduced-order multiobjective optimal control of semilinear parabolic problems",
abstract = "In this paper a reduced-order strategy is applied to solve a multiobjective optimal control problem governed by semilinear parabolic partial differential equations. These problems often arise in practical applications, where the quality of the system behaviour has to be measured by more than one criterium. The weighted sum method is exploited for defining scalar-valued nonlinear optimal control problems built by introducing additional optimization parameters. The optimal controls corresponding to specific choices of the optimization parameters are efficiently computed by the reduced-basis method. The accuracy is guaranteed by an a-posteriori error estimate.",
author = "Laura Iapichino and Stefan Trenz and Stefan Volkwein",
year = "2016",
doi = "10.1007/978-3-319-39929-4_37",
language = "English",
isbn = "978-3-319-39927-0",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "389--397",
editor = "B{\"u}lent Karas{\"o}zen and { Manguoglu}, Murat and Tezer-Sezgin, {M{\"u}nevver } and G{\"o}ktepe, {Serdar } and Ugur, {{\"O}m{\"u}r }",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2015",
note = "ENUMATH 2015: European Conference on Numerical Mathematics and Advanced Applications ; Conference date: 14-09-2015 Through 18-09-2015",
}