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.

Keywords: Multiobjective Optimization, PDE Constrained Optimization

Continuous Optimization I
June 10, 2025  11:30 AM
MR 3

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