Simplified convergence proof in B\'ezier finite elements on D-dimensional simplex
Numerical Analysis
2018-02-01 v1 Plasma Physics
Abstract
By using a general formalism, we expose a simplified proof of the convergence of the B\'ezier polynomials attached to a continuous function defined in arbitrary dimensional simplex. We obtain an error estimate that contains the error in approximating by exponential functions. Our new proof is based on the topological Stone-Weierstrass theorem.
Cite
@article{arxiv.1801.10210,
title = {Simplified convergence proof in B\'ezier finite elements on D-dimensional simplex},
author = {G. Steinbrecher and N. Pometescu},
journal= {arXiv preprint arXiv:1801.10210},
year = {2018}
}