Polynomial Finite Element Method for Domains Enclosed by Piecewise Conics
arXiv:1510.00849 · doi:10.1016/j.cagd.2015.11.002
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-Bézier techniques, prove error bounds and develop optimal assembly algorithms for the finite element system matrices. Numerical experiments confirm the effectiveness of the method.
36 pages