Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autor(en): Mehrmann V, Schmidt M, Stolwijk J
Zeitschrift: Vietnam Journal of Mathematics
Jahr der Veröffentlichung: 2018
ISSN: 0866-7179
eISSN: 2305-221X
Sprache: Englisch


Abstract


The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partial differential equations with temperature dependence to highly simplified algebraic equations, modeling and discretization error estimates are presented to control the overall error in an optimization method for stationary and isothermal gas flows. The error control is realized by switching to more detailed models or finer discretizations if necessary to guarantee that a prescribed model and discretization error tolerance is satisfied in the end. We prove convergence of the adaptively controlled optimization method and illustrate the new approach with numerical examples.


FAU-Autoren / FAU-Herausgeber

Schmidt, Martin Prof. Dr.
Juniorprofessur für Optimierung von Energiesystemen


Autor(en) der externen Einrichtung(en)
Technische Universität Berlin


Zitierweisen

APA:
Mehrmann, V., Schmidt, M., & Stolwijk, J. (2018). Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization. Vietnam Journal of Mathematics. https://dx.doi.org/10.1007/s10013-018-0303-1

MLA:
Mehrmann, Volker, Martin Schmidt, and Jeroen Stolwijk. "Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization." Vietnam Journal of Mathematics (2018).

BibTeX: 

Zuletzt aktualisiert 2019-02-01 um 21:10