Rw. Lewis et al., ASPECTS OF ADAPTIVE MESH GENERATION BASED ON DOMAIN DECOMPOSITION ANDDELAUNAY TRIANGULATION, Finite elements in analysis and design, 20(1), 1995, pp. 47-70
The finite element method requires the generation of a mesh, based on
an appropriate density distribution, so that the numerical analysis us
ing it provides as optimal a result as possible with a reasonably low
computational cost. The generation of inner points in a spatial domain
of analysis may be accomplished via two types of quadtree decompositi
on for two-dimensional cases. The density formulations are quoted and
analyses of their performance are given. Delaunay triangulation has be
en utilized within the mesh generator to connect the interior points.
The robustness of this technique has been investigated. For real engin
eering applications, boundary recovery algorithms have been adopted in
order to ensure the integrity of the boundary. A series of benchmark
tests have been carried out on this work. Mesh quality improvement and
the conversion from triangles to quadrilaterals has also been discuss
ed.