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.
Applied and Computational Mathematics, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USA. bruno@acm.caltech.edu
Oscar P
OP
Bruno
Christophe A
CA
Geuzaine
John A
JA
Monro
Fernando
F
Reitich