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

• Autores: M. N. Benbourhim, Abderrahman Bouhamidi
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 152, Nº 1, 2008, págs. 66-81
• Idioma: inglés
• DOI: 10.1016/j.jat.2007.10.002
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• Resumen

  • 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.