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IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs

Cetraro, Italy 2012

  • Annalisa Buffa
  • Giancarlo Sangalli

Part of the Lecture Notes in Mathematics book series (LNM, volume 2161)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2161)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Vibeke Skytt, Tor Dokken
    Pages 71-86
  3. L. Beirão da Veiga, A. Buffa, G. Sangalli, R. Vázquez
    Pages 87-154
  4. John A. Evans, Thomas J. R. Hughes
    Pages 155-193
  5. Back Matter
    Pages 195-196

About this book

Introduction

Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance:  the isogeometric simulation of a viscous incompressible flow.

Keywords

Isogeometric analysis Splines Finite element method Computer aided geometric design Approximation of partial differential equations

Editors and affiliations

  • Annalisa Buffa
    • 1
  • Giancarlo Sangalli
    • 2
  1. 1.IMATI - CNR PaviaItaly
  2. 2.Dipartimento di MatematicaUniversità di PaviaPaviaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-42309-8
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-42308-1
  • Online ISBN 978-3-319-42309-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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