Oleg Davydov and Wee Ping Yeo, Approximation by C1 splines on piecewise conic domains, in "Approximation Theory XV: San Antonio 2016" (Gregory E. Fasshauer and Larry L. Schumaker, Eds.), pp.21--37, Springer Proceedings in Mathematics & Statistics, vol 201, Springer-Verlag, 2017. doi:10.1007/978-3-319-59912-0_2

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