Oleg Davydov and Wee Ping Yeo, Approximation by C1 splines on piecewise conic domains, 16 pages.

Abstract: We develop a Hermite interpolation scheme and prove error bounds for $C^1$ bivariate piecewise polynomial spaces of Argyris type vanishing on the boundary of curved domains enclosed by piecewise conics.

Preprint version:    pdf   arXiv:1612.02032