| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4640856 | Journal of Computational and Applied Mathematics | 2010 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Solveig Bruvoll, Michael S. Floater,