A Cr trivariate macro-element based on the Alfeld split of tetrahedra

نویسندگان

  • Ming-Jun Lai
  • Michael A. Matt
چکیده

We construct trivariate macro-elements of class Cr for any r ≥ 1 over the Alfeld refinement of any tetrahedral partition in R3. In our construction, the degree of polynomials used for these macro-elements is the lowest possible. We also give the dimension formula for the subspace of consisting of these macroelements.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 175  شماره 

صفحات  -

تاریخ انتشار 2013