Towards an efficient meshless computational technique: the method of finite spheres

Computational efficiency and reliability are clearly the most important req uirements for the success of a meshless numerical technique. While the basi c ideas of meshless techniques are simple and well understood, an effective meshless method is very difficult to develop. The efficiency depends on th e proper choice of the interpolation scheme, numerical integration procedur es and techniques of imposing the boundary conditions. These issues in the context of the method of finite spheres are discussed.