Error bounds for \(n\)-dimensional spline-interpolation in weight norms (Q1333652)

We obtain bounds for the error of finite element interpolation in norms of the weighted Sobolev spaces with regard to condensation degree of finite elements near the singularities of interpolated functions. These bounds generalize well-known non-weighted bounds and are of interest for investigation of precision of schemes of the finite element method for elliptic boundary value problems with singularities stipulated by the geometry of the domain or by physical characteristics of the problem.