Fast Methods applied to BEM Solvers for Acoustic Propagation Problems

摘要

For the numerical simulation of wave propagation in acoustics, Airbus Group Innovations relies on integral equations solved with the Boundary Elements Method (BEM), leading to the need to solve dense linear systems. In this article, we intend to present two families of fast solvers (Fast Multipole Method and H-Matrix method) that can be used on these systems. We propose to underline their similarities, their connections and their differences, to present their complementarity in future high performance solvers and to illustrate their performances on industrial class applications.