Automatic 3D Mesh Generation Conforming a Prescribed Size Map

Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.21-32, July 1998

MESHING
RESEARCH
CORNER

INRIA, Projet GAMMA
Domaine de Voluceau-Rocquencourt
78153 Le Chesnay, FRANCE

Abstract
The generation of an adequate mesh is an essential pre-requisite in any finite element simulation of a physical phenomenon described in terms of PDE's. This paper introduces a method enabling to generate a three-dimensional mesh conforming a user-specified size map. This Delaunay-type method creates isotropic tetrahedral meshes conforming the specified size map. This method proved to be especially suitable in mesh adaption schemes whose main components include an automatic mesh generation method and a solution method coupled with an error estimate.