Hierarchic finite element bases on unstructured tetrahedral meshes

M. Ainsworth, J. Coyle

Research output: Contribution to journalArticlepeer-review

107 Citations (Scopus)
26 Downloads (Pure)


The problem of constructing hierarchic bases for finite element discretization of the spaces H1, H(curl), H(div) and L2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non-uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements.
Original languageEnglish
Pages (from-to)2103-2130
Number of pages27
JournalInternational Journal for Numerical Methods in Engineering
Issue number14
Publication statusPublished - Dec 2003


  • hierarchic finite element bases
  • finite element analysis
  • statistics
  • numerical engineering


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