Mass lumping techniques combined with 3D Time-domain Finite-element Method for the vector wave equation

Abstract

Two mass lumping techniques are applied to time-domain finite-element method (TDFEM) based on the vector wave equation in order to avoid solving sparse linear system at each time step. One is the Lacoste method and the other is a new technique based on local affine coordinate system while considering constant fields in an element. Cavity structures are simulated. And the comparison of the two mass lumping techniques and the conventional TDFEM (without mass lumping) are presented. The numerical results show that the new mass lumping technique is better than the Lacoste method.