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Mixed Finite Element Methods and Applications

  • Daniele Boffi
  • Franco Brezzi
  • Michel Fortin

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 44)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 1-46
  3. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 47-121
  4. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 123-195
  5. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 197-263
  6. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 265-335
  7. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 337-399
  8. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 401-457
  9. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 459-538
  10. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 539-573
  11. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 575-623
  12. Daniele Boffi, Franco Brezzi, Michel Fortin
    Pages 625-662
  13. Back Matter
    Pages 663-685

About this book

Introduction

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem,  plate problems, elasticity and electromagnetism.

Keywords

Stokes' problem elliptic problems finite element linear elasticity mixed hybrid

Authors and affiliations

  • Daniele Boffi
    • 1
  • Franco Brezzi
    • 2
  • Michel Fortin
    • 3
  1. 1.Dipartimento di Matematica "F. Casorati"University of PaviaPaviaItaly
  2. 2.di Studi SuperioriIUSS - Istituto UniversitarioPaviaItaly
  3. 3.Dépt. Mathematique et StatistiqueUniversité LavalQuebecCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-36519-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-36518-8
  • Online ISBN 978-3-642-36519-5
  • Series Print ISSN 0179-3632
  • Buy this book on publisher's site
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