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Error Estimates for Generalized Barycentric Interpolation

Andrew Gillette1, Alexander Rand, Chandrajit Bajaj

  • 1Department of Mathematics, University of Texas at Austin, agillette@math.utexas.edu.

Advances in Computational Mathematics
|January 23, 2013
PubMed
Summary

This study analyzes three finite element methods for polygonal domains, finding optimal convergence estimates are achievable under specific geometric conditions for Wachspress, Sibson, and Harmonic interpolants.

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