How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition Academic Article uri icon


  • A simple algorithm that generates local refinements of tetrahedral meshes is proposed. Refinements are made by tetrahedra, which are subdivided into eight, four, three, or two smaller tetrahedra. We prove that a regularity ball condition is satisfied for the refined mesh. This guarantees that tetrahedra do not become flat when the mesh size tends to zero. 1997 John Wiley & Sons, Inc.

published proceedings

  • Numerical Methods for Partial Differential Equations

author list (cited authors)

  • Kek, M., & Strouboulis, T.

citation count

  • 25

complete list of authors

  • Křížek, Michal||Strouboulis, Theofanis

publication date

  • March 1997