3D mesh refinement procedure using the bisection and rivara algorithms with mesh quality assessment

Mesh refinement procedures for the solution of three dimensional problems are described. The computational domain is represented by an assembly of tetrahedral elements and the mesh refinement is acheived by the bisection and Rivara methods using an explicit mesh density function coupled with an automatic 3D mesh generator. A couple of benchmark examples is used to compare the performance of both refinement methods in terms of mesh and size qualities, number of generated elements and CPU time consumed