NAJan 29, 2018
Simplified convergence proof in Bézier finite elements on D-dimensional simplexG. Steinbrecher, N. Pometescu
By using a general formalism, we expose a simplified proof of the convergence of the Bézier 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.