A Model Reduction Algorithm for Solving Multiple Scattering Problems Using Iterative Methods

In this paper we propose a new method for solving high-frequency scattering problems by multiple objects. A model reduction algorithm based on the macro basis function (MBF) method is used to find an approximate solution within a subspace spanned by the solutions of several single scattering subproblems. Different iterative methods for generating the MBFs are compared. The whole process relies on a finite element approach and is applied to convex obstacle scattering.