@article{10902/30939,
year = {2023},
month = {11},
url = {https://hdl.handle.net/10902/30939},
abstract = {We study a control-constrained optimal control problem governed by a semilinear elliptic equation. The control acts in a bilinear way on the boundary, and can be interpreted as a heat transfer coefficient. A detailed study of the state equation is performed and differentiability properties of the control-to-state mapping are shown. First and second order optimality conditions are derived. Our main result is the proof of superlinear convergence of the semismooth Newton method to local solutions satisfying no-gap second order sufficient optimality conditions as well as a strict complementarity condition.},
organization = {The work of
Eduardo Casas and Mariano Mateos was supported by MCIN/AEI/10.13039/501100011033/ under Project PID2020-114837GB-I00. The work of Konstantinos Chrysafinos was supported by the Hellenic Foundation for Research and Innovation (H.F.R.I.) through the “First Call for H.F.R.I. Research Projects to support Faculty Members and Researchers and the Procurement of High-Cost Research Equipment Grant” under Project 3270.},
publisher = {Institute of Electrical and Electronics Engineers, Inc.},
publisher = {IEEE Control Systems Letters, 2023, 7, 3549-3554},
title = {Semismooth newton method for boundary bilinear control},
author = {Casas Rentería, Eduardo and Chrysafinos, Konstantinos and Mateos Alberdi, Mariano},
}