EUROPT 2025
Abstract Submission

621. Solving Bilevel Optimization Problems using Finite Elements and Reduced Order Methods

Invited abstract in session TB-7: Nonsmooth Bilevel Optimization, stream Bilevel and multilevel optimization.

Tuesday, 10:30-12:30
Room: B100/5015

Authors (first author is the speaker)

1. Floriane Mefo Kue
Research Center, African Institute for Mathematical Sciences Cameroon

Abstract

We consider bilevel optimization problems which can be interpreted as inverse optimal control problems. The lower-level problem is an optimal control problem with a parametrized objective function. The upper-level problem is used to identify the parameters of the lower-level problem. We then consider the Karush-Kuhn-Tucker reformulation of the problem and the main focus is on the derivation of first-order necessary optimality conditions and solutions algorithms via finite elements methods and reduced order methods.

Keywords

Status: accepted


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