Error estimates for matrix-valued radial basis function interpolation

  • Authors:
  • Svenja Lowitzsch

  • Affiliations:
  • Department of Mathematics, West Virginia University, Morgantown, WV 26506-6310, USA

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2005

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Abstract

We introduce a class of matrix-valued radial basis functions (RBFs) of compact support that can be customized, e.g. chosen to be divergence-free. We then derive and discuss error estimates for interpolants and derivatives based on these matrix-valued RBFs.