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Numerical Solution of Partial Differential Equations by the Finite Element Method

Customer Reviews:

Best book on mathematics of FEM

By A. I. Haque - June 20, 2010

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... read more

Very good

By Vedran Jagodnik - November 7, 2010

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.

Among the best introduction to FEM

By Luciano Teresi - October 7, 2010

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.

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