A Finite Element Primer for Beginners The Basics /

A Finite Element Primer for Beginners The Basics /

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 elastost...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Zohdi, Tarek I. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Series:SpringerBriefs in Applied Sciences and Technology,
Subjects:
engineering.
Computer mathematics.
Mathematical models.
physics.
Complexity, Computational.
Continuum mechanics.
Fluid mechanics.
Engineering.
Continuum Mechanics and Mechanics of Materials.
Engineering Fluid Dynamics.
Complexity.
Computational Science and Engineering.
Mathematical Modeling and Industrial Mathematics.
Numerical and Computational Physics.
Online Access:http://dx.doi.org/10.1007/978-3-319-09036-8
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Table of Contents:
  • Weighted residuals and Galerkin's method for a generic 1-D problem
  • A model problem: 1-D elastostatics
  • A finite element implementation in one dimension
  • Accuracy of the finite element method
  • Element by element iterative solutions schemes
  • Weak formulations in three dimensions
  • A finite element implementation in three dimensions
  • Accuracy of the finite element method
  • Time-dependent problems
  • Summary and advanced topics.

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