
128 Meshless methods and their numerical properties
function approximation
i
at the eld nodes, namely
As a result,
the values of approximate function
f
i
h
at the eld nodes are computed by
interpolating each eld node by the nearby eld nodes with the xed RKPM
interpolation function as =∑
=
u
i
h
j
NP
1
, where N
j
and u
j
are the values of
shape function and nodal parameter at the j
th
eld node, respectively.
Total NP eld nodes surrounding the i
th
eld node are included in the
interpolation domain of the i
th
eld node, such that NP ⊆ N, where N
represents the total eld nodes in the domain. This is broadly the working
principle of the ...