A wideband fast multipole accelerated singular boundary method for three-dimensional acoustic problems

In this paper, we present a new fast meshless method, called as wideband fast multipole singular boundary method (FMSBM), for three-dimensional acoustic problems. The wideband FMSBM applies a partial wave expansion formulation in low frequency regime and a plane wave expansion formulation in high frequency regime. The present method is efficient and accurate for a wider range of frequencies compared with the existing FMSBM approaches. In addition, the method avoids large number of element integrations in the boundary element method for resolving the complicated acoustic model, which can further reduce the computational complexity.