Abstract:
Let \Delta be an arbitrary regular triangulation of a simply connected compact polygonal domain\Omega ae R 2 and let S 1 q (\Delta) denote the space of bivariate polynomial splines of degree q and smoothness 1 with respect to \Delta. We develop an algorithm for constructing point sets admissible for Lagrange interpolation by S 1 q (\Delta) if q 4. In the case q = 4 it may be necessary to slightly modify \Delta, but only if exeptional
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