An adaptive fast multipole boundary element method for the Helmholtz equation

The present paper intends to couple the Fast Multipole Method (FMM) with the Boundary Element Method (BEM) in 2D acoustic problems. The evaluation of the integrals involved in the governing Boundary Integral Equations (BIEs) is fasten by the FMM contribution. The multipole expansion and some suitable moment translations make the procedure much faster if compared to the conventional approach. The generalised minimal residual iterative solver (GMRES) is adopted to improve the overall computational efficiency. A simple numerical example is shown to demonstrate the reliability of the method