Finite Element Methods and Their Applications (Scientific Computation) [Hardcover]

Zhangxin Chen (Author)

Book Description

ISBN-10: 3540240780 | ISBN-13: 978-3540240785 | Publication Date: July 26, 2005 | Edition: 1

Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Editorial Reviews

Review

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)

From the Back Cover

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.

Product Details

• Hardcover: 424 pages
• Publisher: Springer; 1 edition (July 26, 2005)
• Language: English
• ISBN-10: 3540240780
• ISBN-13: 978-3540240785
• Product Dimensions: 9.2 x 6.2 x 1 inches
• Shipping Weight: 1.7 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #2,434,801 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

1 of 4 people found the following review helpful:

5.0 out of 5 stars Very good book for Finite Element Methods, September 20, 2005

By 

Qiang Gan (Dallas, TX USA) - See all my reviews
(REAL NAME)   

This review is from: Finite Element Methods and Their Applications (Scientific Computation) (Hardcover)

The book show your basic idea in Chapter 1, and then put a lot of energy on how to use this method in real world. You can easily apply to your own major with very small change.