  We provide a careful Fourier analysis of the Guermond-Pasquetti mass lumping
correction technique [Guermond J.-L., Pasquetti R. A correction technique for
the dispersive effects of mass lumping for transport problems. - Computer
Methods in Applied Mechanics and Engineering. - 2013. - Vol. 253. - P. 186-198]
applied to pure transport and convection-diffusion problems. In particular, it
is found that increasing the number of corrections reduces the accuracy for
problems with diffusion; however all the corrected schemes are more accurate
than the consistent Galerkin formulation in this case. For the pure transport
problems the situation is the opposite. We also investigate the differences
between two numerical solutions - the consistent solution and the corrected
ones, and show that increasing the number of corrections makes solutions of the
corrected schemes closer to the consistent solution in all cases.
