A novel numerical approach for electromagnetic scattering: the cell method

A new interpolation scheme is proposed in the cell method, a finite volume like method, in order to solve EM scattering problems in the frequency domain. The numerical results, showing an excellent agreement both with the results of method of moments (MoM), finite element method (FEM) and with the theoretical results, confirm the validity and the accuracy of the present approach. Despite the present interpolation scheme leads to non-symmetric constitutive matrices, in the time domain, explicit algorithms can be obtained where such non-symmetric matrices seem to be transformed, for tetrahedrical cells, in symmetric semi-definite positive matrices without any approximation.