Shop the Archives and get your next eBook for just 14.99! Stock up today >>

Scientific Computation

Finite Element Methods and Their Applications

Authors: Chen, Zhangxin

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-540-28078-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-540-24078-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-642-06321-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book serves as a text for one- or two-semester courses for upper-level undergraduates and beginning graduate students and as a professional reference for people who want to solve partial differential equations (PDEs) using finite element methods. The author has attempted to introduce every concept in the simplest possible setting and maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Quite a lot of attention is given to discontinuous finite elements, characteristic finite elements, and to the applications in fluid and solid mechanics including applications to porous media flow, and applications to semiconductor modeling. An extensive set of exercises and references in each chapter are provided.

Reviews

From the reviews:

"The attempt to introduce every concept in the simplest possible setting is reflected in the structure of the chapters. … The book and its intention differ very much from the books on finite elements … . The reader finds here more variants of finite element spaces and applications that have not been described in textbooks on finite elements and in particular not with so many details." (Dietrich Braess, Zentralblatt MATH, Vol. 1082, 2006)

"Nowadays, the finite element method is one of the most used in numerical solution of partial differential equations. This book offers a fundamental and practical approach to the method. … In each chapter, a brief introduction, the notation, a basic terminology and necessary concepts are given. Theoretical considerations and bibliographical information are also presented at the end of each chapter. Each of the three main types of partial differential equations is treated in this book. Non-linear problems are studied as well." (Gregory Guisbiers, Physicalia, Vol. 28 (4-6), 2006)

"The book is an excellent written introduction to the fundamentals and the practical application of the finite element method (FEM) and its variants. … Every chapter ends with bibliographical remarks, containing useful sources on the topics, and with a number of meaningful exercises, which complement the presentation. … The book can be used for graduate and even undergraduate courses designed for students with different interests. It is a good reference book for mathematicians, engineers and scientists interested in numerical investigation of mathematical models." (Stefka N. Dimova, Mathematical Reviews, Issue 2006 d)


Table of contents (10 chapters)

  • Elementary Finite Elements

    Pages 1-85

  • Nonconforming Finite Elements

    Pages 87-116

  • Mixed Finite Elements

    Pages 117-171

  • Discontinuous Finite Elements

    Pages 173-213

  • Characteristic Finite Elements

    Pages 215-259

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-540-28078-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-540-24078-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-642-06321-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Finite Element Methods and Their Applications
Authors
Series Title
Scientific Computation
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-28078-1
DOI
10.1007/3-540-28078-2
Hardcover ISBN
978-3-540-24078-5
Softcover ISBN
978-3-642-06321-3
Series ISSN
1434-8322
Edition Number
1
Number of Pages
XIII, 410
Topics