New RPQ Formulas for the Numerical Differentiation of 3-D Finite Element Solutions of Electromagnetic Problems

In this paper, we present new regular polyhedra quadrature (RPQ) formulas to compute more efficiently and accurately derivatives of 3-D finite element (FE) solutions of electromagnetic problems. This new version of the RPQ formulas employs a reduced number of integration points, leading not only to a drastic reduction of the computational effort, but also to a substantial increase of accuracy. An accuracy test is presented in order to show the advantages of the new formulas