Texts in Computational Science and Engineering

The Finite Element Method: Theory, Implementation, and Applications

Authors: Larson, Mats G., Bengzon, Fredrik

  • Introduction to finite elements only based on calculus and linear algebra
  • Covers theory, implementation and applications. Focus on basic mathematical principles and consequent use of the same approach in different applications
  • Matlab programs included
  • Wide range of applications including solid mechanics, electromagnetics, and fluid mechanics
  • Covers modern topics such as adaptivity based on duality arguments​
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eBook $59.99
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  • ISBN 978-3-642-33287-6
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  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-3-642-33286-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-3-642-44711-2
  • 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 gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​    

Reviews

From the reviews:

“The authors give an introduction to the finite element method as a general computational method for solving partial differential equations (PDEs) approximately. … The book should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed.” (Răzvan Răducanu, Zentralblatt MATH, Vol. 1263, 2013)

Table of contents (14 chapters)

  • Piecewise Polynomial Approximation in 1D

    Larson, Mats G. (et al.)

    Pages 1-22

  • The Finite Element Method in 1D

    Larson, Mats G. (et al.)

    Pages 23-44

  • Piecewise Polynomial Approximation in 2D

    Larson, Mats G. (et al.)

    Pages 45-69

  • The Finite Element Method in 2D

    Larson, Mats G. (et al.)

    Pages 71-111

  • Time-Dependent Problems

    Larson, Mats G. (et al.)

    Pages 113-142

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-642-33287-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-3-642-33286-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-3-642-44711-2
  • 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
The Finite Element Method: Theory, Implementation, and Applications
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
10
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-33287-6
DOI
10.1007/978-3-642-33287-6
Hardcover ISBN
978-3-642-33286-9
Softcover ISBN
978-3-642-44711-2
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XVII, 395
Topics