Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations

Oleg Davydov, Wee Ping Yeo

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We present a construction of nested spaces of C2 macro-elements of degree 5 on triangulations of a polygonal domain obtained by uniform refinements of an initial triangulation and a Powell–Sabin-12 split.
Original languageEnglish
Pages (from-to)62-73
Number of pages12
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - 1 Mar 2013


  • refinable spline spaces
  • Powell-Sabin-12 split
  • Bivariate C2 spline spaces
  • macro-elements


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