SpringerBriefs in Applied Sciences and Technology

A Finite Element Primer for Beginners

The Basics

Authors: Zohdi, Tarek I.

  • Presents absolute essentials of the Finite Element Method
  • Basic introduction to some essential mathematical concepts and to the mechanics of a continuum
  • The author has long years of experience teaching finite element classes
  • Illustrated through the classical model problem of linearized elasticity
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Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-09036-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-09035-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are:

(1) Weighted residual methods and Galerkin approximations,

(2) A model problem for one-dimensional linear elastostatics,

(3) Weak formulations in one dimension,

(4) Minimum principles in one dimension,

(5) Error estimation in one dimension,

(5) Construction of Finite Element basis functions in one dimension,

(6) Gaussian Quadrature,

(7) Iterative solvers and element by element data structures,

(8) A model problem for three-dimensional linear elastostatics,

(9) Weak formulations in three dimensions,

(10) Basic rules for element construction in three-dimensions,

(11) Assembly of the system and solution schemes,

(12) Assembly of the system and solution schemes,

(13) An introduction to time-dependent problems and

(14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.

Reviews

“The book by Zohdi … discusses the FEM 1D and 3D problems in linear elasticity. … The book looks attractive ad is easy to read. … this is a nice little elementary book on FEM, which has an attractive and non-intimidating form for the students beginning her/his FEM studies, or for individuals whose areas of interest is different but desire to get a taste of what FEM is all about.” (Dan Givoli, IACM Expressions, Issue 39, July, 2016)


Table of contents (10 chapters)

  • Weighted Residuals and Galerkin’s Method for a Generic 1-D Problem

    Zohdi, Tarek I.

    Pages 1-4

  • A Model Problem: 1-D Elastostatics

    Zohdi, Tarek I.

    Pages 5-11

  • A Finite Element Implementation in One Dimension

    Zohdi, Tarek I.

    Pages 13-28

  • Accuracy of the Finite Element Method

    Zohdi, Tarek I.

    Pages 29-36

  • Element-by-Element Iterative Solution Schemes

    Zohdi, Tarek I.

    Pages 37-43

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-09036-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-09035-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Finite Element Primer for Beginners
Book Subtitle
The Basics
Authors
Series Title
SpringerBriefs in Applied Sciences and Technology
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-09036-8
DOI
10.1007/978-3-319-09036-8
Softcover ISBN
978-3-319-09035-1
Series ISSN
2191-530X
Edition Number
1
Number of Pages
IX, 108
Number of Illustrations and Tables
24 b/w illustrations
Topics