Simulation of 3D evolution problems via refinement and derefinement tetrahedral algorithms

Abstract

In this paper we present the simulation of 3D evolution problems by the use of a three-dimensional refinement/derefinement algorithm for nested tetrahedral grids. The algorithm is based on an adaptive refinement scheme and on an inverse algorithm introduced by the authors. These algorithms work first on the skeleton of the 3D triangulation, the set of the triangular faces. Both schemes are fully automatic.