Identification of the friction function in a semilinear system for gas transport through a network
- An identification problem for the friction parameter in a semilinear system of balance laws, describing the transport of gas through a passive network of pipelines, is considered. The existence of broad solutions to the state system is proven and sensitivity results for the corresponding solution operator are obtained. The existence of solutions to the output least squares formulation of the identification problem, based on noisy measurements over time at fixed spatial positions is established. Finally, numerical experiments validate the theoretical findings.
Author: | Michael Hintermüller, Nikolai Strogies |
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Parent Title (German): | Optimization Methods and Software |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2017/11/28 |
Date of first Publication: | 2017/11/28 |
Release Date: | 2017/11/28 |
Volume: | 35 |
First Page: | 576 |
Last Page: | 617 |
Institutes: | Humboldt-Universität zu Berlin |
Weierstraß-Institut für Angewandte Analysis und Stochastik | |
Subprojects: | B02 |