
50 Meshless methods and their numerical properties
passed to machine precision. This suggests inaccuracies in the numerical
integration of weak form integrals. It is a well known fact that the stan-
dard displacement-based Galerkin formulation exhibits severe stiffening
or volumetric locking while modelling near-incompressible materials. This
is because Poisson’s ratio approaches the value of 1/2. These numerical
problems have been eliminated in the ME approximation meshfree method
proposed by Ortiz et al. (2010) and Ortiz et al. (2011).
The ME approximation method is based on the maximum entropy prin-
ciple. Shannon (1948) introduced the conc ...