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
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.