Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization

Journal article


Publication Details

Author(s): Mehrmann V, Schmidt M, Stolwijk J
Journal: Vietnam Journal of Mathematics
Publication year: 2018
ISSN: 0866-7179
eISSN: 2305-221X
Language: English


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 Authors / FAU Editors

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


External institutions
Technische Universität Berlin


How to cite

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: 

Last updated on 2018-28-08 at 14:38