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


Publisher: EDP Sciences

Book Volume: 40

Pages Range: 939-960

Journal Issue: 5


DOI: 10.1051/m2an:2006037

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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.

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Gugat, M., Herty, M., Klar, A., & Leugering, G. (2007). Conservation Law Constrained Optimization. Mathematical Modelling and Numerical Analysis, 40(5), 939-960.


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

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