Simplified convergence proof in B\'ezier finite elements on D-dimensional simplex.
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.
Publisher URL: http://arxiv.org/abs/1801.10210