Springer Series in Computational Mathematics

Mixed Finite Element Methods and Applications

Authors: Boffi, Daniele, Brezzi, Franco, Fortin, Michel

  • A self contained presentation of the mathematical theory of mixed FEM
  • Applications to elliptic problems, elasticity, electromagnetism, Stokes' problem
  • An augmented version of a classical book​
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eBook $109.00
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  • ISBN 978-3-642-36519-5
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  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-642-36518-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover n/a
  • ISBN 978-3-642-43602-4
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

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.

About the authors

Franco Brezzi is Editor-in-Chief of the journal Numerische Mathematik and co-author of several Springer books, among others the classical book SSCM Vol. 15 "Mixed and Hybrid Finite Element Methods" with Michel Fortin.

Reviews

From the book reviews:

“It is very useful for mathematicians as well as practitioners of finite element methods. The book is divided into 11 chapters.” (Beny Neta, Mathematical Reviews, April, 2014)

“The new book is an extended and corrected revision after 20 years, which is based on the previous material. … one obtains a quite complete overview on the development of nearly all relevant techniques for the construction of a stable mixed method. This makes this monograph a valuable reference for researchers in the field which may replace the first edition on the bookshelf.” (Christian Wieners, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)


Table of contents (11 chapters)

  • Variational Formulations and Finite Element Methods

    Boffi, Daniele (et al.)

    Pages 1-46

  • Function Spaces and Finite Element Approximations

    Boffi, Daniele (et al.)

    Pages 47-121

  • Algebraic Aspects of Saddle Point Problems

    Boffi, Daniele (et al.)

    Pages 123-195

  • Saddle Point Problems in Hilbert Spaces

    Boffi, Daniele (et al.)

    Pages 197-263

  • Approximation of Saddle Point Problems

    Boffi, Daniele (et al.)

    Pages 265-335

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-36519-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-642-36518-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover n/a
  • ISBN 978-3-642-43602-4
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mixed Finite Element Methods and Applications
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
44
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-36519-5
DOI
10.1007/978-3-642-36519-5
Hardcover ISBN
978-3-642-36518-8
Softcover ISBN
978-3-642-43602-4
Series ISSN
0179-3632
Edition Number
1
Number of Pages
XIV, 685
Topics