A convergence theory is established for two types of finite dimensional spaces, with the first type including finite element spaces that lead to unconditional convergence if they contain all ...

Splines are usually defined as piecewise polynomials of degree n with function values and first n-1 derivatives that agree at the points where they join. The abscissa values of the join points are ...

We consider piecewise H¹ functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of ...