Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

Rogg, Sabrina; Trenz, Stefan; Volkwein, Stefan

Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

Files

Rogg_0-401106.pdf(6.74 MB)

Date

2017

Authors

Rogg, Sabrina

Trenz, Stefan

Volkwein, Stefan

Series

Konstanzer Schriften in Mathematik; 359

Publication type

Working Paper/Technical Report

Publication status

Published

Abstract

An optimal control problem governed by a semilinear heat equation is solved using a globalized inexact Newton method. To reduce the computational effort a model order reduction approach based on proper orthogonal decomposition (POD) is applied. Within a trust region framework we guarantee that the reduced-order models are sufficiently accurate by ensuring gradient accuracy. The gradient error is successfully monitored by an a-posteriori error estimate. Numerical results are presented and discussed.

Subject (DDC)

510 Mathematics

Keywords

Optimal control, trust-region methods, reduced-order modelling, proper orthogonal decomposition

Cite This

ISO 690

ROGG, Sabrina, Stefan TRENZ, Stefan VOLKWEIN, 2017. Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

BibTex

@techreport{Rogg2017Trust-38240,
  year={2017},
  series={Konstanzer Schriften in Mathematik},
  title={Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems},
  number={359},
  author={Rogg, Sabrina and Trenz, Stefan and Volkwein, Stefan}
}

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Bibliography of Konstanz

Yes