Certified Reduced Basis Methods for Parametrized Partial Differential Equations / by Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm

Von:

Hesthaven, Jan S [aut]

Mitwirkende(r):

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: SpringerBriefs in Mathematics | SpringerLink BücherVerlag: Cham [u.a.] : Springer, 2016Auflage: 1st ed. 2016Beschreibung: Online-Ressource (XIII, 131 p. 32 illus., 27 illus. in color, online resource)ISBN:

9783319224701

Schlagwörter:

Andere physische Formen: 9783319224695 | Erscheint auch als: Certified reduced basis methods for parametrized partial differential equations. Druck-Ausgabe Cham : Springer, 2016. xiii, 131 SeitenDDC-Klassifikation:

MSC: MSC: *65M15 | 65N15 | 65-02 | 65M12 | 65N12 | 65N30 | 74B05 | 80A20 | 35K05 | 65M60RVK: RVK: SK 915LOC-Klassifikation:

QA71-90

DOI: DOI: 10.1007/978-3-319-22470-1Online-Ressourcen:

Inhalte:

Zusammenfassung: 1 Introduction and Motivation -- 2 Parametrized Differential Equations -- 3 Reduced Basis Methods -- 4 Certified Error Control -- 5 The Empirical Interpolation Method -- 6 Beyond the Basics -- 7 Appendix A Mathematical Preliminaries.Zusammenfassung: This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.PPN: PPN: 1657870480Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA | ZDB-2-SEB

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