Formation of pyramid elements for hexahedra to tetrahedra transitions

Steven J. Owen, Sunil Saigal

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


New algorithms are proposed for the modification of a mixed hexahedra-tetrahedra element mesh to maintain compatibility by the insertion of pyramid elements. Several methods for generation of the pyramids are presented involving local tetrahedral transformations and/or node insertion near the hex/tet interface. Local smoothing and topological operations improve the quality of the transition region. Results show superior performance of the resulting elements in a commercial finite-element code over non-conforming interface conditions.

Original languageEnglish (US)
Pages (from-to)4505-4518
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Issue number34
StatePublished - May 25 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


  • Mesh generation
  • Multi-point constraint
  • Pyramid
  • Transition element


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