94 citations · 196 across the 20 of their papers we have counts for
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math.NA2014★ 3 cited
Construction of scalar and vector finite element families on polygonal and polyhedral meshes
Andrew Gillette, Alexander Rand, Chandrajit Bajaj
We combine theoretical results from polytope domain meshing, generalized barycentric coordinates, and finite element exterior calculus to construct scalar- and vector-valued basis…
math.NA2014★ 7 cited
Nodal bases for the serendipity family of finite elements
Michael S. Floater, Andrew Gillette
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…