ELEMENT-FREE GALERKIN SOLUTIONS FOR HELMHOLTZ PROBLEMS - FORMULATION AND NUMERICAL ASSESSMENT OF THE POLLUTION EFFECT

The Element-Free Galerkin Method (EFGM), a particular case of the mesh less methods, is examined in its application to acoustic wave propagat ion addressed by the Helmholtz equation. Dispersion and pollution effe cts, two problems encountered by the classical numerical methods, are reviewed. Numerical tests on two-dimensional problems focus on the par ameters governing the formulation of the EFGM. They also demonstrate t hat the EFGM is affected by dispersion and pollution effects as well a s FEM, but these effects are rather low, showing that the EFGM is a pr omising method. (C) 1998 Elsevier Science S.A. All rights reserved.