Error estimates for interpolating div--curl splines under tension on a bounded domain

Authors:
M. N. Benbourhim;A. Bouhamidi
Affiliations:
Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France;L.M.P.A, CNRS-FR2956, Université du Littoral Côte d'Opale, 50 rue F. Buisson BP699, F-62228 Calais Cedex, France
Venue:
Journal of Approximation Theory
Year:
2008

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Abstract

This paper discusses error estimates and convergence for interpolation by div-curl spline under tension of a vector field in the classical vectorial Sobolev space on an open bounded set with a Lipschitz-continuous boundary. A property of convergence is also given when the set of interpolating points becomes more and more dense.