Scattering Amplitude Error Analysis for the MoM Schemes in L2 Commonly Used for Solving a 2-D Scattering from Screens

The scattering amplitude error estimation problem for practically used MoM solutions in L₂ function space for scattering from 2-D screens is addressed. To this end, a rigorous Galerkin solution in L₂ to logarithmically singular and hypersingular EFIE is used as a reference solution for scattering amplitude error estimation by benchmarking. This one requires substantially lower computational efforts than using of the same MoM algorithm but with very high mesh density as a reference solution. To many, the approach helps to avoid unpredictable errors due to the ill-conditioning connected with high mesh density for any MoM solution to the EFIE in L₂. Using the approach, the asymptotic decay rate of scattering amplitude error is investigated for some MoM algorithms widely used in practice.