Lecture Notes in Computational Science and Engineering

Automated Solution of Differential Equations by the Finite Element Method

The FEniCS Book

Editors: Logg, Anders, Mardal, Kent-Andre, Wells, Garth (Eds.)

  • Unique synthesis of theory and computer code
  • Takes readers from an introductory tutorial through to cutting-edge research in scientific computing
  • Demonstrates a modern software approach to solving problems spanning fluid flow, solid mechanics, electromagnetics and geophysics
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-23099-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-3-642-23098-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-3-662-50833-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Table of contents (36 chapters)

  • A FEniCS tutorial

    Langtangen, Hans Petter

    Pages 1-73

  • The finite element method

    Kirby, Robert C. (et al.)

    Pages 77-94

  • Common and unusual finite elements

    Kirby, Robert C. (et al.)

    Pages 95-119

  • Constructing general reference finite elements

    Kirby, Robert C. (et al.)

    Pages 121-132

  • Finite element variational forms

    Kirby, Robert C. (et al.)

    Pages 133-140

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-23099-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-3-642-23098-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-3-662-50833-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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
Automated Solution of Differential Equations by the Finite Element Method
Book Subtitle
The FEniCS Book
Editors
  • Anders Logg
  • Kent-Andre Mardal
  • Garth Wells
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
84
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-23099-8
DOI
10.1007/978-3-642-23099-8
Hardcover ISBN
978-3-642-23098-1
Softcover ISBN
978-3-662-50833-6
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XIII, 731
Number of Illustrations and Tables
294 b/w illustrations, 52 illustrations in colour
Topics