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
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
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.
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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