Optimal Meshing of Structured Boundary Domains in Numerical Analyses

Abstract

The analysis of a practical problem using numerical methods such as Finite Element Method (FEM) or Boundary Element Method (BEM) involves the subdivision of the space occupied by a physical system (named domain) or its boundary into sub-domains or sub-boundaries called elements. This task, known as mesh generation or domain-discretization, is no more trivial if domains of real or industrial problems involving shape irregularities, various different materials which may be non-linear or an-isotropic; are to be taken into account. In this paper an easy mesh technique considering even domains, which are tiresome handlebar by Computer Aided Design (CAD) Software, has been proposed to achieve efficient and suitable meshes to minimize the computer storage requirements, the computation time; and to improve the accuracy of the results during numerical Analyses. The basic elements adopted in mesh are d-Simplexes.