Acoustic scattering: high frequency boundary element methods and unified transform methods
This is a review/survey paper for researchers in computational acoustics, providing an overview of two advanced methods but offering no new results or comparisons.
The paper reviews recent advances in numerical methods for high frequency acoustic scattering, focusing on hybrid numerical-asymptotic boundary element methods and connections to the unified transform method for diffraction gratings. No concrete numerical results are provided.
We describe some recent advances in the numerical solution of acoustic scattering problems. A major focus of the paper is the efficient solution of high frequency scattering problems via hybrid numerical-asymptotic boundary element methods. We also make connections to the unified transform method due to A.S. Fokas and co-authors, analysing particular instances of this method, proposed by J.A. DeSanto and co-authors, for problems of acoustic scattering by diffraction gratings.