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Approximation by \(C^1\) Splines on Piecewise Conic Domains

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Book cover Approximation Theory XV: San Antonio 2016 (AT 2016)

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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.

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Acknowledgements

This research has been supported in part by the grant UBD/PNC2/2/RG/1(301) from Universiti Brunei Darussalam.

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Correspondence to Oleg Davydov .

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Davydov, O., Yeo, W.P. (2017). Approximation by \(C^1\) Splines on Piecewise Conic Domains. In: Fasshauer, G., Schumaker, L. (eds) Approximation Theory XV: San Antonio 2016. AT 2016. Springer Proceedings in Mathematics & Statistics, vol 201. Springer, Cham. https://doi.org/10.1007/978-3-319-59912-0_2

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