Using discrete uniformity property in a mixed algebraic method

Abstract

Given a mixed algebraic method based on a transfinite Hermite-type interpolant scheme and on a B-spline tensor product method (see [C. Conti, R. Morandi, D. Scaramelli, An automatic control point choice in algebraic numerical grid generation, in: J. Levesly, I.J. Anderson, J.C. Mason (Eds.), Proceedings of Algorithms for Approximation IV, 2002, pp. 2–8] and references quoted therein), in this paper the choice of the B-spline knots and of the control points used in the tensor product is discussed. Both choices are performed by taking into account a discrete “uniformity” property.