ADAPTIVE GENERATION OF ARBITRARY GRIDS AND ITS APPLICATION IN FINITE DIFFERENCE ANALYSIS OF THREE DIMENSIONAL CONTINUA.

In the present work, as an improvement of the previous proposed methods, the author studies an h and/or h-p adaptive refinement strategy for the three-dimensional elastic static analysis of structures by means of the finite difference method (FDM) with arbitrary grids and compares it with other FEM and Meshless Methods. An automatic grid generation on general three-dimensional domains, based on the simplest background grid of points, is developed in this paper, utilizing the 'point selection criterion, for which the order p of the Taylor expansion may be held constant or may be suited to the displacement gradient at each point, according to a 'posteriori error' estimation based on 'truncation error' analysis.