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An Introduction to Nonlinear Finite Element Analysis$
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J. N. Reddy

Print publication date: 2004

Print ISBN-13: 9780198525295

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198525295.001.0001

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The Finite Element Method: A Review

The Finite Element Method: A Review

Chapter:
(p.13) 2 The Finite Element Method: A Review
Source:
An Introduction to Nonlinear Finite Element Analysis
Author(s):

J. N. REDDY

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525295.003.0002

This chapter reviews the basic steps involved in the development of the finite element method as applied to one- and two-dimensional problems described by typical second-order differential equations. Poisson's equation is discussed, along with a derivation of interpolation functions for basic one- and two-dimensional elements, numerical evaluation of integrals, and computer implementation ideas. Other topics covered include finite element approximation, assembly of elements, library of two-dimensional finite elements, and coordinate transformations.

Keywords:   finite element method, one-dimensional problems, two-dimensional problems, differential equations, Poisson's equation, interpolation functions, integrals, computer implementation, finite elements, coordinate transformations

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