2 papers
math.NA2022
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-…
math.NA2019
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…