DERIVATION OF A RECTANGULAR FINITE-ELEMENT FOR POTENTIAL PROBLEMS FROM CONSISTENCY CRITERIA

Citation
P. Bettess et O. Laghrouche, DERIVATION OF A RECTANGULAR FINITE-ELEMENT FOR POTENTIAL PROBLEMS FROM CONSISTENCY CRITERIA, Communications in numerical methods in engineering, 14(1), 1998, pp. 35-42
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Engineering
ISSN journal
10698299
Volume
14
Issue
1
Year of publication
1998
Pages
35 - 42
Database
ISI
SICI code
1069-8299(1998)14:1<35:DOARFF>2.0.ZU;2-3
Abstract
This short paper demonstrates how the matrix for a 4-node potential fi nite element can be derived from the conditions of 'rigid body movemen t',dagger symmetry and consistency, and the requirement that the eleme nt solve exactly the case of phi = xy. This derivation is intended to be a simple illustration of the ideas of Bergan and others. (C) 1998 J ohn Wiley & Sons, Ltd.