Numerical Analysis of state-constrained elliptic multiobjective control problems: Finite element discretization and error estimates

M. Sama Meige, A. Khan

This presentation addresses a multiobjective elliptic control problem with state constraints. Specifically, we develop an abstract framework to derive error estimates for a finite-dimensional approximation of multiobjective optimization in Banach spaces under linear constraints. We demonstrate the application of this framework to obtain numerical error estimates for a complete finite element discretization of our problem, supported by numerical examples.

Palabras clave: Multiobjective Optimization PDE Constrained Optimization

F. J. Aragón Artacho, H. H. Bauschke, R. Campoy, C. López Pastor

F. J. Aragón Artacho, R. Campoy García, C. López Pastor

G. Ruiz-Garzón, R. Osuna-Gómez, A. Rufián-Lizana, A. Beato-Moreno