Conservation Law Constrained Optimization

Gugat M, Herty M, Klar A, Leugering G (2007)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2007

Journal

Mathematical Modelling and Numerical Analysis EDP Sciences

Publisher: EDP Sciences

Book Volume: 40

Pages Range: 939-960

Journal Issue: 5

URI: http://www.edpsciences.org/10.1051/m2an:2006037

DOI: 10.1051/m2an:2006037

Open Access Link: http://archive.numdam.org/ARCHIVE/M2AN/M2AN_2006__40_5/M2AN_2006__40_5_939_0/M2AN_2006__40_5_939_0.pdf

Abstract

We consider models based on conservation laws. For the optimization of

such systems, a sensitivity analysis is essential to determine how changes in the decision

variables influence the objective function. Here we study the sensitivity with respect

to the initial data of objective functions that depend upon the solution of Riemann

problems with piecewise linear flux functions. We present representations for the one–

sided directional derivatives of the objective functions. The results can be used in the

numerical method called Front-Tracking.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE) Technische Universität Kaiserslautern DE Germany (DE)

How to cite

APA:

Gugat, M., Herty, M., Klar, A., & Leugering, G. (2007). Conservation Law Constrained Optimization. Mathematical Modelling and Numerical Analysis, 40(5), 939-960. https://doi.org/10.1051/m2an:2006037

MLA:

Gugat, Martin, et al. "Conservation Law Constrained Optimization." Mathematical Modelling and Numerical Analysis 40.5 (2007): 939-960.

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