A novel technique to build constitutive matrices for generalized FDTD algorithms

By means of some recent approaches it is possible to develop generalized FDTD algorithms working in an explicit way on unstructured grids. The critical point of these algorithms is the difficulty in the construction of the constitutive matrices, better known as discrete Hodge operators. In these paper we propose a novel technique for the construction of the constitutive matrices in order to have some features that can guarantee the stability and the consistency of the generalized FDTD algorithms.