
40 Meshless methods and their numerical properties
According to Runge’s phenomenon (Dahlquist and Björck, 2003), this
may cause oscillations along the boundaries of domain for the uniformly
distributed eld nodes. Therefore, the eld nodes should be arranged in
a sufciently random manner to ensure that the PIM will yield a good
approximation of eld variables. The denition of an inuence domain
around a central concerned node is another difcult task. Since the PIM
is an interpolation technique, it can be combined with any of the existing
meshless methods for a specic application. Several test problems of the
mechanics are solved by the ...