3 papers
math.OC2024
Error estimates for the discretization of bilinear control problems governed by semilinear elliptic PDEs
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
This paper studies an optimal control problem governed by a semilinear elliptic equation, in which the control acts in a multiplicative or bilinear way as the reaction coefficient…
math.OC2024
Bilinear control of semilinear elliptic PDEs: Convergence of a semismooth Newton method
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
In this paper, we carry out the analysis of the semismooth Newton method for bilinear control problems related to semilinear elliptic PDEs. We prove existence, uniqueness and regul…
math.OC2024
Semismooth Newton Method for Boundary Bilinear Control
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
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 h…