Efficient Propagation Of Moment Tensors In Multipole-accelerated
Parallel BEM
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
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