DC FieldValueLanguage
dc.contributor.authorBlömeling, Frank-
dc.date.accessioned2019-09-13T13:39:52Z-
dc.date.available2019-09-13T13:39:52Z-
dc.date.issued2011-09-16-
dc.identifier.citationLinear Algebra and Its Applications 10 (436): 3864-3882 (2012)de_DE
dc.identifier.issn0024-3795de_DE
dc.identifier.urihttp://hdl.handle.net/11420/3362-
dc.description.abstractIn many fields of engineering problems linear time-invariant dynamical systems (LTI systems) play an outstanding role. They result for instance from discretizations of the unsteady heat equation and they are also used in optimal control problems. Often the order of LTI systems is a limiting factor, since it becomes easily very large. As a consequence these systems cannot be treated efficiently without model reduction algorithms. In this paper a new approach for the combination of model order reduction methods and recent multi-level substructuring (MLS) techniques is presented. Similar multi-level substructuring methods have already been applied successfully to huge eigenvalue problems up to several millions of degrees of freedom. However, the presented approach does not make use of a modal analysis like former algorithms. Instead the original system is decomposed in smaller LTI systems which are treated with recent model reduction methods. Furthermore, the error which is induced by this substructuring approach is analysed and numerical examples based on the Oberwolfach benchmark collection are given in this paper.en
dc.language.isoende_DE
dc.publisherAmerican Elsevier Publ.de_DE
dc.relation.ispartofLinear algebra and its applicationsde_DE
dc.subjectDomain decompositionde_DE
dc.subjectModel reduction methodsde_DE
dc.subjectMulti-level substructuringde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleMulti-level substructuring combined with model order reduction methodsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dc.subject.ddccode510-
dcterms.DCMITypeText-
tuhh.abstract.englishIn many fields of engineering problems linear time-invariant dynamical systems (LTI systems) play an outstanding role. They result for instance from discretizations of the unsteady heat equation and they are also used in optimal control problems. Often the order of LTI systems is a limiting factor, since it becomes easily very large. As a consequence these systems cannot be treated efficiently without model reduction algorithms. In this paper a new approach for the combination of model order reduction methods and recent multi-level substructuring (MLS) techniques is presented. Similar multi-level substructuring methods have already been applied successfully to huge eigenvalue problems up to several millions of degrees of freedom. However, the presented approach does not make use of a modal analysis like former algorithms. Instead the original system is decomposed in smaller LTI systems which are treated with recent model reduction methods. Furthermore, the error which is induced by this substructuring approach is analysed and numerical examples based on the Oberwolfach benchmark collection are given in this paper.de_DE
tuhh.publisher.doi10.1016/j.laa.2011.02.040-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
tuhh.institute.germanMathematik E-10de
tuhh.institute.englishMathematik E-10de_DE
tuhh.gvk.hasppnfalse-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue10de_DE
tuhh.container.volume436de_DE
tuhh.container.startpage3864de_DE
tuhh.container.endpage3882de_DE
dc.identifier.scopus2-s2.0-84858798574-
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorGNDBlömeling, Frank-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.creatorOrcidBlömeling, Frank-
item.languageiso639-1en-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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