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2010

Transfinite mean value interpolation in general dimension

7 years 2 months ago
Transfinite mean value interpolation in general dimension
Mean value interpolation is a simple, fast, linearly precise method of smoothly interpolating a function given on the boundary of a domain. For planar domains, several properties of the interpolant were established in a recent paper by Dyken and the second author, including: sufficient conditions on the boundary to guarantee interpolation for continuous data; a formula for the normal derivative at the boundary; and the construction of a Hermite interpolant when normal derivative data is also available. In this paper we generalize these results to domains in arbitrary dimension. Math Subject Classification: 41A05, 65D05
Solveig Bruvoll, Michael S. Floater
Added 19 May 2011
Updated 19 May 2011
Type Journal
Year 2010
Where JCAM
Authors Solveig Bruvoll, Michael S. Floater
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