Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
Using the celebrated Powell-Sabin Split, quasi-interpolants with two-dimensional polynomial splines are generated and analysed. Specifically, cubic, continuously differentiable splines are used to construct superconvergent cubic spline quasi-interpolants. The results are to be contrasted with the already known quadratic spline quasi-interpolants with lower convergence orders, partially also on Powell-Sabin Splits. Several numerical examples are offered too.
scientific article; zbMATH DE number 6495655
scientific article