Polynomial Finite Element Method for Domains Enclosed by Piecewise Conics
Numerical Analysis
2016-02-18 v1
Abstract
We consider bivariate piecewise polynomial finite element spaces for curved domains bounded by piecewise conics satisfying homogeneous boundary conditions, construct stable local bases for them using Bernstein-B\'ezier techniques, prove error bounds and develop optimal assembly algorithms for the finite element system matrices. Numerical experiments confirm the effectiveness of the method.
Cite
@article{arxiv.1510.00849,
title = {Polynomial Finite Element Method for Domains Enclosed by Piecewise Conics},
author = {Oleg Davydov and Georgii Kostin and Abid Saeed},
journal= {arXiv preprint arXiv:1510.00849},
year = {2016}
}
Comments
36 pages