Author(s)

A. A. Mammoli and M. S. Ingber

Abstract

Efficient propagation of moment tensors in multipole-accelerated parallel BEM applications A. A. Mammoli and M. S. Ingber Department of Mechanical Engineering University of New Mexico, USA Abstract Fast multipole methods (FMM) have recently been applied to the simulation of Stokes flows with the boundary element method (BEM). Further work led to the simulation of Stokes flow for complex, multiply connected geometries. The use of massive parallelism is imperative for the treatment of realistic problems, be- cause of the very large number of degrees of freedom that result from the accurate geometric description of such systems. The parallelization of standard BEM applications that use iterative solvers such as GMRES to find an approximate solution to the linear systems is straightfor- ward. The coefficient matrix is divided row-wise manner, and matrix coefficients are generated and used on the same processor. However, using the same matrix distribution with FMM leads to inefficiencies

Keywords