Lattices on simplicial partitions

نویسندگان

  • Gasper Jaklic
  • Jernej Kozak
  • Marjeta Krajnc
  • Vito Vitrih
  • Emil Zagar
چکیده

In this paper, (d + 1)-pencil lattices on simplicial partitions in Rd are studied. The barycentric approach naturally extends the lattice from a simplex to a simplicial partition, providing a continuous piecewise polynomial interpolant over the extended lattice. The number of degrees of freedom is equal to the number of vertices of the simplicial partition. The constructive proof of this fact leads to an efficient computer algorithm for the design of a lattice.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 233  شماره 

صفحات  -

تاریخ انتشار 2010