Exact sequences on Powell-Sabin splits
Numerical Analysis
2019-04-12 v1
Abstract
We construct smooth finite elements spaces on Powell-Sabin triangulations that form an exact sequence. The first space of the sequence coincides with the classical Powell-Sabin space, while the others form stable and divergence-free yielding pairs for the Stokes problem. We develop degrees of freedom for these spaces that induce projections that commute with the differential operators.
Keywords
Cite
@article{arxiv.1904.05466,
title = {Exact sequences on Powell-Sabin splits},
author = {J. Guzman and A. Lischke and M. Neilan},
journal= {arXiv preprint arXiv:1904.05466},
year = {2019}
}