Optimum Mesh Generation for the Finite Element Method (1st Report)

Abstract

This paper proposes a method of r-type mesh optimization for the finite element analysis of two dimensional elasticity problem. The objective function of the optimization is the global error energy norm based on stress discontinuity on the element boundaries. The mesh generation is based on the method to generate boundary-fitted coordinate systems as solutions of biharmonic equation in the physical plane. Computer codes were developed and some examples were investigated. It is shown that the approach to the optimized mesh in this paper is effective and useful for practical use.