Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case.
We present a new algorithm for the numerical solution of problems of electromagnetic or acoustic scattering by large, convex obstacles. This algorithm combines the use of an ansatz for the unknown density in a boundary-integral formulation of the scattering problem with an extension of the ideas of the method of stationary phase. We include numerical results illustrating the high-order convergence of our algorithm as well as its asymptotically bounded computational cost as the frequency increases.
Bruno
Oscar P
OP
Applied and Computational Mathematics, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USA. bruno@acm.caltech.edu
Geuzaine
Christophe A
CA
Monro
John A
JA
Reitich
Fernando
F