Smoothing and accelerated computations in the element free Galerkin method

Two topics in the formulation and implementation of meshless methods are considered: the smoothing of the approximating functions at concave boundaries and the speedup of the calculation of the approximating functions and their derivatives. These techniques are described in the context of the element free Galerkin method, but they are applicable to other meshless methods. Results are presented for some elastostatic problems which show a moderate improvement in the accuracy of the smoothed interpolant. The speedup in calculating the shape functions is about a factor of two.