A broadband MLFMA using pseudospherical harmonics

The Multilevel Fast Multipole Algorithm (MLFMA) is widely used for the acceleration of matrix-vector products in the iterative solution of scattering problems. The MLFMA, however, suffers from a low-frequency (LF) breakdown. This breakdown is usually avoided by hybridizing the MLFMA with a method that does not fail at LF. For example, the Green function can be decomposed using the spectral representation or multipoles. Recently, a novel decomposition was presented, which uses so-called pseudospherical harmonics in the translation operator. In this contribution, the coupling of this method and the MLFMA will be investigated in detail.The Multilevel Fast Multipole Algorithm (MLFMA) is widely used for the acceleration of matrix-vector products in the iterative solution of scattering problems. The MLFMA, however, suffers from a low-frequency (LF) breakdown. This breakdown is usually avoided by hybridizing the MLFMA with a method that does not fail at LF. For example, the Green function can be decomposed using the spectral representation or multipoles. Recently, a novel decomposition was presented, which uses so-called pseudospherical harmonics in the translation operator. In this contribution, the coupling of this method and the MLFMA will be investigated in detail.C