Approximation by $C^1$ Splines on Piecewise Conic Domains

Approximation by $C^1$ Splines on Piecewise Conic Domains

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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Bibliographische Detailangaben
Hauptverfasser: Davydov, Oleg, Yeo, Wee Ping
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Numerical Analysis
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Beschreibung
Zusammenfassung: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.
DOI:10.48550/arxiv.1612.02032