Certified Reduced Basis Methods for Parametrized Partial Differential Equations

1. Auflage 2016
ISBN: 978-3-319-22469-5
Verlag: Springer International Publishing

Buch, Englisch, 131 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g

Reihe: SpringerBriefs in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Hesthaven, Jan S

Stamm, Benjamin

Rozza, Gianluigi

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.