5 citations · 12 across the 4 of their papers we have counts for
7 papers
Optimal Control of a Class of Reaction-Diffusion Systems with Pointwise State Constraints
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
We study optimal control problems governed by a system of semilinear reaction-diffusion equations. The assumptions on the governing system are formulated so that our results apply…
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…
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…
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…
Analysis and approximations of an optimal control problem for the Allen-Cahn equation
Konstantinos Chrysafinos, Dimitra Plaka
The scope of this paper is the analysis and approximation of an optimal control problem related to the Allen-Cahn equation. A tracking functional is minimized subject to the Allen-…
A posteriori error estimates for the Allen-Cahn problem
Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Dimitra Plaka
This work is concerned with the proof of \emph{a posteriori} error estimates for fully-discrete Galerkin approximations of the Allen-Cahn equation in two and three spatial dimensio…
Stability Analysis and Best Approximation Error Estimates of Discontinuous Time-Stepping Schemes for the Allen-Cahn Equation
Konstantinos Chrysafinos
Fully-discrete approximations of the Allen-Cahn equation are considered. In particular, we consider schemes of arbitrary order based on a discontinuous Galerkin (in time) approach…