
Formulation of classical meshless methods 25
kernel function xed at the node (x
k
, y
k
). The order of approximate
function
is determined by the order of the monomial basis func-
tions used in the correction function
CxyuvPuv cxy
T
(,,,)(,) (,)=
, where
m
12
is the column vector of the m
th
order monomial and c(x,y) is the m
th
order unknown row vector. The
moment matrix in the xed RKPM is constant for a local domain due to
the xed kernel (Aluru and Li, 2001).
The approximate function in the moving kernel method is given as
fxyCxyuv Kx uy vfuv du dv
h
(,)(,,,) (,)(,)
=−−
Ω
(2.49)
As seen from Equation (2.49), ...