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Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods (Civil and Environmental Engineering) Hardcover – September 25, 2001

ISBN-13: 978-0824706791 ISBN-10: 082470679X Edition: 1st

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Product Details

  • Series: Civil and Environmental Engineering (Book 9)
  • Hardcover: 664 pages
  • Publisher: CRC Press; 1st edition (September 25, 2001)
  • Language: English
  • ISBN-10: 082470679X
  • ISBN-13: 978-0824706791
  • Product Dimensions: 9.4 x 6.3 x 1.5 inches
  • Shipping Weight: 2.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,125,103 in Books (See Top 100 in Books)

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2 of 2 people found the following review helpful By xerf on October 25, 2007
Format: Hardcover
I used this book as textbook for an introductory course in Finite Element Method (FEM). Most of the book deals with linear FEM (Ch.6 to Ch.13). It is a well structured book written for (seniors and first year graduate) students in Civil and Mechanical Engineers. Therefore, the math style is the one typically seen in Engineering Mathematics texts. The FEM is described mostly using matrix notation (rather than index notation specific to Continuum Mechanics texts).

The book has two introductory chapters: Ch. 1 presents some of the differential equations commonly encountered in engineering; Ch. 2 describes errors appearing in obtaining numerical solutions.

Besides FEM, the book presents additional methods for solving differential equations. Namely, it presents Finite Difference Method in Ch. 3, the family of Method of Weighted Residuals (i.e. Collocation Method, Least-Squares, Bubnov-Galerkin etc.) in Ch. 4 and Variational Methods (i.e. Ritz method) in Ch. 5.

Chapters 6 to 10 explains fundamentals aspects of FEM such as: deriving FE equations from the differential equations via Galerkin and variational approaches, interpolation functions and element mappings.

Chapter 11 is dedicated to scalar field problems (e.g., heat transfer) and Chapter 12 to elasto-static problems.

The book is well documented, citing an impressive number of publications (612 references) which cover more advanced FEM topics. It contains useful information in the appendices about solvers, integration formulae, finite difference formulae etc., appendices which sometimes I use as a reference.

Although the book does not address FEM for time-dependent problems (e.g., transient heat transfer, elastodynamics) (maybe in a future edition), I consider this is good book to start learning finite element method.

Unfortunately, the book is a bit pricey.
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