Author(s)

L. Traversoni

Abstract

A completely new method, based on natural neighbors is proposed first to discretize the shape changing domain and afterwards to perform, using the same method, interpolation in the Finite Element method. 2 Natural neighbors and covering spheres Natural neighbors may be defined as follows: For every set V — {p\,p2, . . . ,pm] of ra different points on E. And for each i on /^ is defined the set Tt = [x € E : d(x,pi) < d(x,pj), j 6 /™\{t}}, of Vbronoi polytopes related to V . Every pair of points whose Voronoi polytopes have common frontiers, are called Natural Neighbors', for each point there always exists a set of Natural Neighbors The interpolation in some point P i

Keywords