Author(s)

V. Sladek, J. Sladek & Ch. Zhang

Abstract

The paper deals with the development of the meshless computational techniques based on the Local Integral Equations and analytical integrations. The development is illustrated on 2-d potential problems in functionally graded media. The MLS-approximation is used for simulation of spatial variations of the potential field. Efficient differentiation is proposed for calculation of derivatives of shape functions. The accuracy and efficiency are studied on simple example providing the exact solution for the benchmark solution. Keywords: MLS-approximation, local integral equations, differentiation of shape functions, accuracy, efficiency.

Keywords

MLS-approximation, local integral equations, differentiation of shape functions, accuracy, efficiency