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

By:

Hesthaven, Jan S [aut]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerBriefs in Mathematics | SpringerLink BücherPublisher: Cham [u.a.] : Springer, 2016Edition: 1st ed. 2016Description: Online-Ressource (XIII, 131 p. 32 illus., 27 illus. in color, online resource)ISBN:

9783319224701

Subject(s):

Additional physical formats: 9783319224695 | Druckausg.: Certified reduced basis methods for parametrized partial differential equations. Cham : Springer, 2016. xiii, 131 SeitenMSC: MSC: *65M15 | 65N15 | 65-02 | 65M12 | 65N12 | 65N30 | 74B05 | 80A20 | 35K05 | 65M60RVK: RVK: SK 915LOC classification:

QA71-90

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

Contents:

Summary: 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.Summary: 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

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