Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640863 | Journal of Computational and Applied Mathematics | 2010 | 12 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
GaÅ¡per JakliÄ, Jernej Kozak, Marjeta Krajnc, Vito Vitrih, Emil Žagar,