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Materials - Mechanics | A Finite Element Primer for Beginners - The Basics

A Finite Element Primer for Beginners

The Basics

Zohdi, Tarek I.

2015, IX, 108 p. 24 illus.

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  • 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

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.

Content Level » Research

Keywords » Elastodynamics - FEM - Finite Element Method - Linearized Elasticity

Related subjects » Complexity - Computational Science & Engineering - Mathematics - Mechanics - Theoretical, Mathematical & Computational Physics

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