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dc.contributor.authorAmsallem, David
dc.contributor.authorFarhat, Charbel
dc.date.accessioned2016-02-25T12:41:42Z
dc.date.available2016-02-25T12:41:42Z
dc.date.issued2011-01
dc.identifier.citationAmsallem D, Farhat C (2011) An Online Method for Interpolating Linear Parametric Reduced-Order Models. SIAM Journal on Scientific Computing 33: 2169–2198. Available: http://dx.doi.org/10.1137/100813051.
dc.identifier.issn1064-8275
dc.identifier.issn1095-7197
dc.identifier.doi10.1137/100813051
dc.identifier.urihttp://hdl.handle.net/10754/597540
dc.description.abstractA two-step online method is proposed for interpolating projection-based linear parametric reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter values. The first step of this method transforms each precomputed ROM into a consistent set of generalized coordinates. The second step interpolates the associated linear operators on their appropriate matrix manifold. Real-time performance is achieved by precomputing inner products between the reduced-order bases underlying the precomputed ROMs. The proposed method is illustrated by applications in mechanical and aeronautical engineering. In particular, its robustness is demonstrated by its ability to handle the case where the sampled parameter set values exhibit a mode veering phenomenon. © 2011 Society for Industrial and Applied Mathematics.
dc.description.sponsorshipSubmitted to the journal's Computational Methods in Science and Engineering section October 27, 2010; accepted for publication (in revised form) June 3, 2011; published electronically September 1, 2011. This work was partially supported by a research grant from the Academic Excellence Alliance program between King Abdullah University of Science and Technology (KAUST) and Stanford University, by a research grant from King Abdulaziz City for Science and Technology (KACST), by The Boeing Company under contract 45047, and by the Air Force Office of Scientific Research under grant FA9550-10-1-0539.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.subjectInterpolation
dc.subjectMatrix manifolds
dc.subjectMode veering
dc.subjectParametric model reduction
dc.subjectRealtime computing
dc.titleAn Online Method for Interpolating Linear Parametric Reduced-Order Models
dc.typeArticle
dc.identifier.journalSIAM Journal on Scientific Computing
dc.contributor.institutionStanford University, Palo Alto, United States
kaust.grant.programAcademic Excellence Alliance (AEA)


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