J. Lai

Spectral Convergence of the Multipole Expansion Method for Acoustic Scattering in Three Dimensions

Multiple scattering is a fundamental wave interaction phenomenon in acoustics and electromagnetics. The multipole expansion method (MEM) is the basis of many fast algorithms, such as the fast multipole method (FMM), for such problems. However, due to the infinitely many wave reflections involved, its convergence in thr...