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The finite element analysis of engineering systems governed by a non-linear quasi-harmonic equation

Authors
Journal
Computers & Structures
0045-7949
Publisher
Elsevier
Publication Date
Volume
5
Issue
1
Identifiers
DOI: 10.1016/0045-7949(75)90020-6
Disciplines
  • Computer Science
  • Engineering

Abstract

Abstract It is well known that many engineering situations are governed by a quasi-harmonic equation containing coefficients, which are dependent on the unknown variable or its derivatives, resulting in a non-linear problem for which an iterative scheme of solution is essential. A unified treatment of such problems is undertaken and two solution algorithms are presented. The first is based on a simple interation technique whilst the second follows a generalised Newton-Raphson process. The methods are then applied to non-linear problems in heat conduction, diffusion, magnetostatics and Bingham fluid flow.

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