I. Kaljevic et S. Saigal, AN IMPROVED ELEMENT FREE GALERKIN FORMULATION, International journal for numerical methods in engineering, 40(16), 1997, pp. 2953-2974
An improved formulation of the Element-Free Galerkin Method (EFGM) is
presented in this paper. The major shortcoming of the conventional EFG
M has been that, due to the use of Moving Least-Squares (MLS) approxim
ation, it does not allow the explicit prescription of boundary conditi
ons. Lagrange multipliers have been employed to circumvent this proble
m undermining the attractiveness of the method. The proposed EFGM form
ulation eliminates this shortcoming through the use of a set of MLS in
terpolants that employ singular weight functions. The validity, accura
cy and efficiency of the present formulation are demonstrated through
the solution of a variety of example problems. (C) 1997 by John Wiley
& Sons, Ltd.