Generalized variational quasi interpolants in \((H_0^m(\Omega))^n\) (Q1382749)

In order to approximate scattered fluid flow data, the authors construct a vector quasi-interpolant by discretizing an explicit reproducing formula for a bilinear form, corresponding to the energy which includes a divergence, a rotational and a stress term. Convergence of this scheme to the data function in the norm of a suitable Sobolev space as the nodes become dense in the region is also established.