Acute type refinements of tetrahedral partitions of polyhedral domains

We present a new technique to perform refinements on acute type tetrahedral partitions of a polyhedral domain, provided that the center of the circums cribed sphere around each tetrahedron belongs to the tetrahedron. The resul ting family of partitions is of acute type; thus, all the tetrahedra satisf y the maximum angle condition. Both these properties are highly desirable i n finite element analysis.