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A Finite Element Primer for Beginners

The Basics

  • Tarek I. Zohdi

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Tarek I. Zohdi
    Pages 5-11
  3. Tarek I. Zohdi
    Pages 29-36
  4. Tarek I. Zohdi
    Pages 45-50
  5. Tarek I. Zohdi
    Pages 69-74
  6. Tarek I. Zohdi
    Pages 75-79
  7. Tarek I. Zohdi
    Pages 81-84
  8. Back Matter
    Pages 85-108

About this book

Introduction

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

Authors and affiliations

  • Tarek I. Zohdi
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-09036-8
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-09035-1
  • Online ISBN 978-3-319-09036-8
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site
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