Cubic Lagrange elements satisfying exact incompressibility
Numerical Analysis
2017-12-05 v1
Abstract
We prove that an analog of the Scott-Vogelius finite elements are inf-sup stable on certain nondegenerate meshes for piecewise cubic velocity fields. We also characterize the divergence of the velocity space on such meshes. In addition, we show how such a characterization relates to the dimension of C^1 piecewise quartics on the same mesh.
Cite
@article{arxiv.1712.00672,
title = {Cubic Lagrange elements satisfying exact incompressibility},
author = {Johnny Guzman and Ridgway Scott},
journal= {arXiv preprint arXiv:1712.00672},
year = {2017}
}
Comments
32 pages