A generalized mass lumping scheme for Maxwell´s wave equation

The directional mass lumping approximation was outlined and applied to the Nedelec bases for Maxwell´s wave equation. In the case of orthogonal meshes the approximation was found to eliminate the mass matrix inversion as a computational bottleneck. The approximation was also tested on the coaxial cable problem and was found to improve the computational cost for the mass matrix inversion by an order of magnitude, while having a negligible effect on the error of the simulation. This preliminary result was by no means a complete validation of the directional mass lumping method, however it does illustrate the potential for this method to have a negligible impact on the error.