The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems

The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundame ntal solution of the governing equation and its normal derivative, which ar e required in the formulation of the MFS, can be expressed in terms of comp lete elliptic integrals, which are evaluated using library software. The me thod is tested on several problems from the literature and the results comp ared with existing solutions. Numerical experiments demonstrate that the fi ctitious eigenfrequency problem which is encountered with the boundary elem ent method is not present in the MFS. (C) 1998 Acoustical Society of Americ a. [S0001-4966(98)00212-4].