Electromagnetic problems spatially discretized by the so called Discrete
Geometric Approach are considered, where Discrete Counterparts of Constitutive
Relations are discretized within an Energetic Approach. Pairs of oriented
dual grids are considered in which the primal grid is composed of (oblique) parallelepipeds,
(oblique) triangular prisms and tetrahedra and the dual grid is obtained
according to the barycentric subdivision. The focus of the work is the evaluation
of the constants bounding the approximation error of the electromagnetic field; the
novelty is that such constants will be expressed in terms of the geometrical details
of oriented dual grids. A numerical analysis will confirm the theory.