M. Ainsworth, O. Davydov and L. L. Schumaker, Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions, Computer Methods in Applied Mechanics and Engineering, 304 (2016), 140-170. doi:10.1016/j.cma.2016.01.021

Abstract: A construction for high order continuous finite elements on partitions consisting of tetrahedra, hexahedra and pyramids based on polynomial Bernstein-Bézier shape functions is presented along with algorithms that allow the computation of the system matrices in optimal complexity O(1) per entry.

Preprint version:    pdf