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Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems

Rovas Dimitrios, Pateras, Anthony, 1979-, Ivan B. Oliveira, Maday, Yvon, 1957-, Luc Machiels

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URIhttp://purl.tuc.gr/dl/dias/A3F5A8EC-A6F5-458E-BE8F-E9E1737BCD33-
Identifierhttps://doi.org/10.1016/S0764-4442(00)00270-6-
Languageen-
Extent6 pagesen
TitleOutput bounds for reduced-basis approximations of symmetric positive definite eigenvalue problemsen
CreatorRovas Dimitriosen
CreatorΡοβας Δημητριοςel
CreatorPateras, Anthony, 1979-en
CreatorIvan B. Oliveiraen
CreatorMaday, Yvon, 1957-en
CreatorLuc Machielsen
PublisherElsevieren
Content SummaryWe propose a new reduced-basis output bound method for the symmetric eigenvalue problem. The numerical procedure consists of two stages: the pre-processing stage, in which the reduced basis and associated functions are computed—“off-line”—at a prescribed set of points in parameter space; and the real-time stage, in which the approximate output of interest and corresponding rigorous error bounds are computed—“on-line”—for any new parameter value of interest. The real time calculation is very inexpensive as it requires only the solution or evaluation of very small systems. We introduce the procedure; prove the asymptotic bounding properties and optimal convergence rate of the error estimator; discuss computational considerations; and, finally, present corroborating numerical results.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-17-
Date of Publication2000-
SubjectGreek mathematicsen
Subjectmathematics greeken
Subjectgreek mathematicsen
Bibliographic CitationL. Machiels, Y. Maday, I.B. Oliveira, A.T. Patera, D.V. Rovas ,"Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems." Comp. Rendus de l'Acad. des Sc.Series I-Math.,vol. 331 ,no.2 ,pp.153-158,2000.doi:10.1016/S0764-4442(00)00270-6en

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