A Construction of Conforming Finite Elements on the Alfeld Split in Any Dimension
arXiv:2604.03077
Abstract
Constructing conforming finite element spaces in any dimension is a long-standing problem. For general triangulations, this problem was recently addressed by Hu-Lin-Wu (2024), under certain conditions on supersmoothness and polynomial degree. In this paper, a first unified construction on the Alfeld split in any dimension is given, where the supersmoothness conditions and the polynomial degree requirement are relaxed.
34 pages, 5 figures