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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

  • Jan S Hesthaven
  • Gianluigi Rozza
  • Benjamin Stamm

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm
    Pages 1-13
  3. Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm
    Pages 15-25
  4. Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm
    Pages 27-43
  5. Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm
    Pages 45-66
  6. Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm
    Pages 67-85
  7. Jan S. Hesthaven, Gianluigi Rozza, Benjamin Stamm
    Pages 87-118
  8. Back Matter
    Pages 119-131

About this book

Introduction

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.

Keywords

Applied mathematics Earth sciences Empirical interpolation PDE Reduced basis methods Time-dependent problems

Authors and affiliations

  • Jan S Hesthaven
    • 1
  • Gianluigi Rozza
    • 2
  • Benjamin Stamm
    • 3
  1. 1.EPFL-SB-MATHICSE-MCSSEcole Polytechnique Fédérale de Lausanne EPFLLausanneSwitzerland
  2. 2.SISSA MathLabInternational School for Advanced StudiesTriesteItaly
  3. 3.Laboratoire Jacques-Louis LionsSorbonne Universités, UPMC Univ Paris 06, CNRSParis Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-22470-1
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-22469-5
  • Online ISBN 978-3-319-22470-1
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site
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