2014/10/22 by Chandler-Wilde, Simon N., Langdon, Stephen
#35J05 #35J57 #35Q60 #45B05 #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1410.6137
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.