Compatible Discrete Operators scheme applied to Maxwell's Equation in and its link with FDTD

We present an approach to discretize Maxwell's equations called Compatible Discrete Operators (CDO). It is a low-order discretization that belongs to the large family of mimetic schemes. This method is a generalization of the FDTD method. It discretizes the closure relations in a geometrically robust way that allows to deal with distorted and non-conformal polyhedral meshes. We briefly introduce the scheme, its link with the FDTD method and we give a first numerical result.