
Formulation of classical meshless methods 35
2006), heat conduction (Wu et al., 2007), crack analysis in the 2-D and
3-D domains (Sladek et al., 2007b), thermo-piezoelectricity (Sladek et al.,
2007a), and shell deformation (Jarak et al., 2007). Cai and Zhu (2008)
modied the MLPG method to overcome the drawbacks of the Shepard
partition of unity (PU) approximation by employing novel PU-based
Shepard and LS interpolations.
Liu et al. (2008a) developed a meshless method for the analysis of struc-
tural dynamic problems by constructing trial functions with the natural
neighbor concept and combining them with the general MLPG method.
Several res