A Fictitious Domain Decomposition Method for High Frequency Acoustic Scattering Problems

It is well known that most PDE problems defined over an axisymmetric domain can be efficiently solved by a Fourier based solution method. However, for many applications, the underlying computational domain is not entirely axisymmetric, but has one or several major axisymmetric subdomains. For such problems, an axisymmetric analysis method is not applicable, and a straightforward one can be inefficient because it does not exploit the geometrical properties of the axisymmetric components. The objective of this paper is to fill this existing gap, and propose a computationally efficient method for solving problems on a class of partially axisymmetric domains [FUR99].