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Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics) Paperback – 27 Mar 2009


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Product details

  • Paperback: 288 pages
  • Publisher: Dover Publications Inc. (27 Mar. 2009)
  • Language: English
  • ISBN-10: 048646900X
  • ISBN-13: 978-0486469003
  • Product Dimensions: 1.3 x 15.2 x 22.9 cm
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Bestsellers Rank: 635,450 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Product Description

About the Author

Claes Johnson is Professor of Applied Mathematics at the Royal Institute of Technology, Stockholm.

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Most Helpful Customer Reviews

Format: Paperback Verified Purchase
Johnson's book is a good introduction to the subject, covering a lot of material in a reasonable style. It's showing its age slightly in typesetting and notation, but this shouldn't be a problem for most readers. The price is excellent for what you get although more advanced readers should probably look at Ern and Guermond or Brenner and Scott.
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Format: Paperback Verified Purchase
This is very good for the begin of FEM. The basis are clearly presented. Of course it is not the whole knowledge but give you some idea how Is it working.
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Most Helpful Customer Reviews on Amazon.com (beta)

Amazon.com: 10 reviews
16 of 16 people found the following review helpful
Best book on mathematics of FEM 20 Jun. 2010
By A. I. Haque - Published on Amazon.com
Format: Paperback
This book provides an excellent mathematical introduction to the Finite Element Method. All of the necessary functional analysis concepts are provided. This book is aimed at mathematicians and not engineers!

Cautionary notes:
1. A strong background in mathematical analysis is required to understand the proofs.
2. Few implementation details provided.
3. Focus is primarily on elliptic PDEs. Only 1 chapter each for Parabolic and Hyperbolic PDEs.

This was the textbook I had for a grad math course in FEM. I had previously studied FEM on my own through an engineering text. Engineering FEM books explain FEM through a bottom-up approach: formulating the elements and then assembling them. Mathematical FEM books explain FEM through a top-down approach: formulating the solution space and then specifying the elements. This book follows the mathematical approach, so you will not find it useful in terms of implementation or applications. However, the proofs are fairly easy to follow (for a mathematician).
7 of 7 people found the following review helpful
Among the best introduction to FEM 7 Oct. 2010
By Luciano Teresi - Published on Amazon.com
Format: Paperback
I am dealing with FEM since many years, and in many ways. I use FEM as a computational tool, I teach FEM at graduate level, and I am involved in developing new computational tools related to FEM.

Among the many books devoted to the subject, that by C. Johnson is definitely one of the best; my opinion is that no other book can introduce you to the method as seamlessly, yet accurately, as this book does. I strongly suggest the book to anyone interested in the subject. Despite its age (first published in 1987), it is still extremely useful.
5 of 5 people found the following review helpful
Very good 8 Nov. 2010
By Vedran Jagodnik - Published on Amazon.com
Format: Paperback Verified Purchase
I bought this book for my phd course. Although the book is written on a pure mathematical way (and I'm not an mathematician) I did understand almost everything. Nevertheless, before starting to read this you should have in your mind that you NEED to have some basic of advanced mathematics.
I would recommend this book to engineers who are starting to use FEM analysis, and graduate students who are learning the basics of FEM.
4 of 4 people found the following review helpful
chapters 1-5 are a good introduction to FEM 2 Jun. 2013
By L. de Vito - Published on Amazon.com
Format: Paperback
At least chapters 1-5 make it a good introductory book. Chapters 6-13 are not so well-written, not so clear: The author goes way too fast and included advanced materials. It would have been better to stay at an introductory level and to further trim it down. It cannot claim 5 stars because of numerous weaknesses:
- as already observed by another reviewer, it is typed in something like Word instead of Latex, hence reading lots of equations is a painful experience !
- it is light on discontinuous Galerkin method and heavy on the streamline diffusion method since the latter was the most promising method at the time this little book was written; since then, the streamline diffusion method is dead and the discontinuous Galerkin method is the standard FE extension to deal with hyperbolic system of equations.
If it does not suffice:
- no Matlab / Octave source code to illustrate
- no errata
- no solution to the exercises
either in the book or on the author's home page.
Nevertheless, at this very low price, I would recommend it for a concise introduction.
Great supplement to a Finite Elements course. 24 May 2014
By tesserackt - Published on Amazon.com
Format: Paperback Verified Purchase
This book packs a lot of information into a very slim package. There are good figures for those who haven't seen how the elements are actually constructed before, and the explanations are very clear. I found myself referencing this book a lot during my Finite Elements course, and it often provided the most clarity on a topic amongst the textbooks I referenced and my class notes. It was great for me as a student just beginning with finite elements, and it's so dense with information that it will continue to be of value as a quick reference later on. All I have to say is that there's a reason this is a Dover book -- for $13, this is a definite must-have.
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