
30 Meshless methods and their numerical properties
It is noted in Equation (2.65) that the unknown parameter
is not con-
stant and varies with the position x.
In the FPM (Oñate et al., 1996a), the governing equations are discretised
by the point collocation method, and the LS approximation is used by sim-
ply choosing
, namely the Dirac delta function, resulting in the gov-
erning and boundary equations as
Au b
ii
[(
ˆ
)] 0in
(2.67)
Bu
u
ii ti
(
)] 0in,and
0in
(2.68)
where Ω,
and
are the internal domain and Neumann and Dirichlet
boundaries, respectively. Equations (2.67) and (2.68) are simplied by sub-
stituting the shape f ...