Geometric Decomposition of H(div) Finite Elements

Previously we use Lagrange elements as an example to introduce the simplicial lattice and construction of finite elements based on a decomposition of the simplicial lattice; see Simplicial Lattice and Lagrange Elements. In this post, we shall extend to H(div) conforming finite elements.

Reference: Section 4 of Geometric Decompositions of Div-Conforming Finite Element Tensors. Long Chen and Xuehai Huang. arXiv. 2021.

https://lyc102.github.io/camtips/blog/Hdiv-decomposition/