
68 Meshless methods and their numerical properties
The numerical analysis and computational accuracy comparison of the
different meshless techniques are shown in Table3.1 for solving the 2-D
Laplace equation with the three cases of the different boundary-conditions.
The methods compared include the present Hermite-cloud method, the
classical moving least squares (MLS) method, and h-renement of the ele-
ment-free Galerkin (EFG) method (Mukherjee and Mukherjee, 1997). The
global errors decrease rapidly in a monotonic manner, with the increase
of regularly scattered point. They are generally less than 0.07775% for the
convergence solutions, for ...