Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design

Andrea Petrocchi*, Matthias K. Scharrer, Stefan Volkwein

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: KonferenzbeitragPaperBegutachtung

Abstract

In this paper we propose an algorithm for the bi-level optimal input design involving a parameter-dependent evolution problem. In the inner cycle a control is fixed and the parameter is optimized in order to minimize a cost function that measure the discrepancy from some data. In the outer cycle the found parameter is fixed and the control is now optimized in order to minimize a suitable measure of uncertainty of the parameters. The inner cycle uses a trustregion reduced basis approximation of the model with creation and enrichment of the reduced basis on-the-fly. Numerical examples illustrate the efficiency of the proposed approach.
Originalspracheenglisch
PublikationsstatusVeröffentlicht - 7 Sept. 2022
Veranstaltung4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations - Kiel, Deutschland
Dauer: 5 Sept. 20227 Sept. 2022
http://cpde2022.org/

Konferenz

Konferenz4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations
KurztitelCPDE
Land/GebietDeutschland
OrtKiel
Zeitraum5/09/227/09/22
Internetadresse

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