Speaker
Stéphanie Chaillat-Loseille, CNRS
Abstract
When considering high-frequency wave scattering problems, the solution of the dense linear system coming from the discretization of boundary integral equations is still a major computational challenge. While iterative solvers combined with fast Boundary Element Methods can reduce complexity of one iteration, their convergence often deteriorates, particularly for multiple scattering configurations. Preconditioning strategies have therefore been proposed to accelerate convergence, ranging from block diagonal preconditioners to block Jacobi and Gauss–Seidel methods. These approaches can be interpreted within the framework of boundary domain decomposition techniques.
In this talk, I will show how, we can propose variants of the method of reflections and extend it to overlapping domain decomposition. I will also compare these algorithms in terms of convergence properties, with respect to frequency, mesh refinement, and scatterer characteristics; and extend the method to elastodynamics.
This is a joint work with Marion Darbas, Martin Gander and Laurence Halpern.