Lattices on simplicial partitions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article; Proceedings Paper

Jaklic, Gasper^1,3  Kozak, Jernej^1,2  Krajnc, Marjeta²  Vitrih, Vito³  Zagar, Emil^1,2 

[1] Univ Ljubljana, FMF, Ljubljana, Slovenia

[2] IMFM, Ljubljana, Slovenia

[3] Univ Primorska, PINT, Koper, Slovenia

关键词: Lattice;    Barycentric coordinates;    Simplicial partition;   

DOI  :  10.1016/j.cam.2009.02.022

来源: Elsevier

【 摘 要 】

In this paper, (d + 1)-pencil lattices on simplicial partitions in R(d) 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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free