Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
440819 | Computer Aided Geometric Design | 2016 | 25 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Oleg Davydov, Georgy Kostin, Abid Saeed,