
5
Chapter 2
Formulation of classical
meshless methods
2.1 INTRODUCTION
For a long time, the nite element method (FEM) has been a standard tool
for numerically solving different engineering problems, especially those
from the mechanical engineering. Today’s real world problems such as
astrophysics and diffusion phenomena are highly complex, such that FEM
alone is inadequate to solve them. We now describe the several limitations
of FEM.
One of the limitations of FEM is the difculty of generating a good qual-
ity mesh that should be correct according to geometry and the specic
requirements of a physical phenomenon. It is essential for a mesh to ...