Marion Darbas

LAMFA, University of Picardie Jules Verne, with Stéphanie Chaillat (ENSTA) and Frédérique Le Loüer (UTC)

Analytic preconditioners for 3D high-frequency elastic scattering problems

I will present the combination of an analytical preconditioner, which is an approximate Dirichlet-to-Neumann map, with a fast multipole accelerated boundary element method (FM-BEM) to treat Dirichlet exterior scattering problems in 3D elasticity. The resulting boundary integral equations are preconditioned Combined Field Integral Equations. I will provide various numerical illustrations of the efficiency of the method for different smooth and non smooth geometries. In particular, the number of iterations is shown to be completely independent of the number of degrees of freedom and of the frequency for convex obstacles.

Comments are closed.