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Polynomial Finite Element Method for Domains Enclosed by Piecewise Conics

Authors
  • Davydov, Oleg
  • Kostin, Georgii
  • Saeed, Abid
Type
Preprint
Publication Date
Oct 03, 2015
Submission Date
Oct 03, 2015
Identifiers
DOI: 10.1016/j.cagd.2015.11.002
Source
arXiv
License
Yellow
External links

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.

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