On the control of the element finite meshes with dimensions in arithmetic progression

Abstract

The purpose of this article is to present the formulae for calculating the parameters defining the finite element meshes with variable dimensions in arithmetical progression along some user defined paths within the domain of analysis. Also, it is presented an analysis of the conditions of existence of the formulae previously deducted. In the final part of the article, the deducted formulae are used in a case study for their validation and some conclusions are formulated.