Nodal Bases for the Serendipity Family of Finite Elements

Using the notion of multivariate lower set interpolation, we construct nodal basis functions for the serendipity family of finite elements, of any order and any dimension. For the purpose of computation, we also show how to express these functions as linear combinations of tensor-product polynomials. The final version of this research has been published in Foundations of Computational Mathematics. © 2016 Springer Verla