Comparison of mass lumping techniques for solving the 3D Maxwell's equations in the time domain

This paper presents a comparison of mass lumping techniques for the time-domain solution of the 3D Maxwell's equations through edge elements. These techniques allow obtaining a fully explicit time integration procedure. We present two different techniques: the so-called classical method and the Lacoste method as well as a modified scheme to avoid numerical problems due to the shape of mesh elements. Numerical results are presented and compared with those obtained with a consistent method (without lumping).