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math.NA2011★ 1 cited
Interpolation Error Estimates for Mean Value Coordinates over Convex Polygons
Alexander Rand, Andrew Gillette, Chandrajit Bajaj
In a similar fashion to estimates shown for Harmonic, Wachspress, and Sibson coordinates in [Gillette et al., AiCM, doi:10.1007/s10444-011-9218-z], we prove interpolation error est…
math.NA2011★ 2 cited
Quadratic Serendipity Finite Elements on Polygons Using Generalized Barycentric Coordinates
Alexander Rand, Andrew Gillette, Chandrajit Bajaj
We introduce a finite element construction for use on the class of convex, planar polygons and show it obtains a quadratic error convergence estimate. On a convex n-gon satisfying…