A dual finite element complex on the barycentric refinement
A dual finite element complex on the barycentric refinement
Given a two dimensional oriented surface equipped with a simplicial mesh, the standard lowest order finite element spaces provide a complex $X^\bullet$ centered on Raviart-Thomas divergence conforming vector fields. It can be seen as a realization of the simplicial cochain complex. We construct a new complex $Y^\bullet$ of finite element …