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Div-rot interpolating variational splines in Sobolev space

A. Kouibia, M. Pasadas

Abstract


In this paper we present an approximation problem of parametric curves and surfaces from a Lagrange or Hermite data set. In particular, we study an interpolation problem by minimizing some functional on a Sobolev space that produces the new notion of div-rot interpolating variational spline. We carefully establish a convergence result.

Keywords


Interpolation, Div and Rot Operators, Variational spline, Sobolev space.

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