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Understanding And Implementing the Finite Element Method

3.3 out of 5 stars 3 customer reviews
ISBN-13: 978-0898716146
ISBN-10: 0898716144
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Editorial Reviews

Review

'Upon completion of this book a student or researcher would be well prepared to employ finite elements for an application problem or proceed to the cutting edge of research in finite element methods. The accuracy and the thoroughness of the book are excellent.' Anthony Kearsley, National Institute of Standards and Technology

Book Description

Contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Practical in nature, the book includes a carefully documented collection of MATLAB programs implementing the ideas presented.
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Product Details

  • Paperback: 363 pages
  • Publisher: Society for Industrial & Applied (July 1, 2006)
  • Language: English
  • ISBN-10: 0898716144
  • ISBN-13: 978-0898716146
  • Product Dimensions: 6.7 x 0.8 x 9.7 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 3.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,825,624 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: Paperback
This book is like any other FEA book in regards to some things have been done very well, some things have been treated poorly, and some things are noticeably missing. Overall, this one is in the middle of the road.

If you are more mathematically inclined, I would say start with this book before you delve into the gems by Ciarlet The Finite Element Method for Elliptic Problems (Classics in Applied Mathematics) or Brenner and Scott The Mathematical Theory of Finite Element Methods (Texts in Applied Mathematics). As one of the other reviewers mentioned, the theory part of the book is crammed together and kind of lax; well, to me, this would be the perfect place to start into the theory. He covers most of the relevant theory without bogging you down with the technical details to be 100% correct. In a first pass through learning the theory, you probably don't need to be inundated with all of the finer points of Hilbert spaces.

Download the MATLAB code for the book and read through it as you work your way through the book. Gockenbach's discussion of "implementing" the finite element method is very mathematical and not very practical (I don't know why I was expecting anything else from a SIAM book). Examining the code is where you will learn how to implement FEA on your own; the book alone is not sufficient. Better yet, pick up the Cook book
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I have a Ph.D. in computational solid mechanics and I would use this book to teach a class on FEM. The essential mathematical concepts behind FEM are well explained and basic implementation algorithms are presented. I would recommend this book to anyone who truly wants to understand FEM in a concise manner.
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I am using this book as prescribed text book, and I find the book so far, uninteresting. Author has tried to cram in lot of information ,like for example about vector spaces , in chapter 2 , but there is little emphasis on the physical interpretation.

Also I feel it is lacking enough examples to illustrate his points.

There are lot of theorems , and terminologies, but they are not highlighted , and if you dont use a highlighter of your own, you might spend a lot of time, looking for what a term means when you come accross it sometime later while reading the book.
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