Approximation of Vector Fields by Thin Plate Splines with Tension
نویسندگان
چکیده
We study a vectorial approximation problem based on thin plate spline with tension involving two positive parameters one for a control of the oscillations and the other one allows a control on the divergence and rotational components of the field. The existence and uniqueness of the solution is proved and the solution is explicitly given. We study the limit problems and the convergence problem in Sobolev space.
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