Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization

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dc.contributor.authorMehrmann, Volker
dc.contributor.authorSchmidt, Martin
dc.contributor.authorStolwijk, Jeroen J.
dc.date.accessioned2021-12-17T10:14:49Z
dc.date.available2021-12-17T10:14:49Z
dc.date.issued2017-12-07
dc.description.abstractThe 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.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15886
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14659
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othergas transport optimizationen
dc.subject.otherIsothermal stationary Euler equationsen
dc.subject.othermodel hierarchyen
dc.subject.otheradaptive error controlen
dc.subject.othermarking strategyen
dc.titleModel and Discretization Error Adaptivity within Stationary Gas Transport Optimizationen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2017, 11en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200035Q35 Other equations arising in fluid mechanicsen
tub.subject.msc200065G99 None of the above, but in this sectionen
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