
138 Meshless methods and their numerical properties
As the governing differential equations and boundary conditions are
imposed at the virtual nodes, extra virtual nodes are created at the loca-
tions of eld nodes scattered along the Dirichlet boundary to ensure that
the boundary values at all the eld nodes located on the Dirichlet bound-
ary are imposed. It is assumed for all the virtual nodes (original and
extra created) located along the Dirichlet boundary that
=uf
(,
I
h
.
For example, in a given 1-D domain discretised by a total of four virtual
nodes, the rst and fourth virtual nodes are on the Dirichlet boundary,
and the correspondi ...