Skip to main content
  • Book
  • © 2015

A Finite Element Primer for Beginners

The Basics

Authors:

(view affiliations)
  • 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

  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

Buying options

eBook
USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-09036-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout

This is a preview of subscription content, access via your institution.

Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
  2. A Model Problem: 1-D Elastostatics

    • Tarek I. Zohdi
    Pages 5-11
  3. Accuracy of the Finite Element Method

    • Tarek I. Zohdi
    Pages 29-36
  4. Weak Formulations in Three Dimensions

    • Tarek I. Zohdi
    Pages 45-50
  5. Accuracy of the Finite Element Method

    • Tarek I. Zohdi
    Pages 69-74
  6. Time-Dependent Problems

    • Tarek I. Zohdi
    Pages 75-79
  7. Summary and Advanced Topics

    • Tarek I. Zohdi
    Pages 81-84
  8. Back Matter

    Pages 85-108

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.

Keywords

  • Elastodynamics
  • FEM
  • Finite Element Method
  • Linearized Elasticity
  • complexity

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)

Authors and Affiliations

  • University of California, Berkeley, USA

    Tarek I. Zohdi

Bibliographic Information

Buying options

eBook
USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-09036-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout