Development and Application of a Broadband Multilevel Fast Multipole Algorithm for Challenging Multiscale

A broadband implementation of the multilevel fast multipole algorithm is developed and employed to solve multiscale problems involving large objects with small details and discretizations. Despite its limited accuracy, the proposed scaled diagonalization enables stable computations of electromagnetic interactions at arbitrary short distances with respect to wavelength. The effectiveness of the developed implementation is demonstrated on challenging problems involving realistic objects discretized with large numbers of unknowns.