# Conservation law constrained optimization based upon front-tracking

Martin Gugat; Michaël Herty; Axel Klar; Gunter Leugering

- Volume: 40, Issue: 5, page 939-960
- ISSN: 0764-583X

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topGugat, Martin, et al. "Conservation law constrained optimization based upon front-tracking." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 40.5 (2006): 939-960. <http://eudml.org/doc/245702>.

@article{Gugat2006,

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.},

author = {Gugat, Martin, Herty, Michaël, Klar, Axel, Leugering, Gunter},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {sensitivity calculus; front-tracking; conservation laws; conservation law; sensitivity analysis; Riemann problem; Front-Tracking; optimization},

language = {eng},

number = {5},

pages = {939-960},

publisher = {EDP-Sciences},

title = {Conservation law constrained optimization based upon front-tracking},

url = {http://eudml.org/doc/245702},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Gugat, Martin

AU - Herty, Michaël

AU - Klar, Axel

AU - Leugering, Gunter

TI - Conservation law constrained optimization based upon front-tracking

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2006

PB - EDP-Sciences

VL - 40

IS - 5

SP - 939

EP - 960

AB - 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.

LA - eng

KW - sensitivity calculus; front-tracking; conservation laws; conservation law; sensitivity analysis; Riemann problem; Front-Tracking; optimization

UR - http://eudml.org/doc/245702

ER -

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