Applications of the Fast Multipole Method
                     to Micromechanics

                             by

                      Gregory J. Rodin
             Texas Institute for Computational
                  and Applied Mathematics
             The University of Texas at Austin

         JTB 320, 3:20pm  Monday, November 17, 1997

                          Absract

This talk is concerned with applications of the fast
multipole method to three-dimensional linear elastic
interactions among particles imbedded in a matrix. It is
demonstrated that for these problems, boundary integral
equations can be solved with the fast multipole method using
essentially $O(N)$ operations and $O(N)$ storage, where N is
the number of unknowns in the boundary element method.
Representative examples involve problems in which the number
of particles is $O(10^2 )$.

Gregory J. Rodin
Department of Aerospace Engineering and Engineering Mechanics
The University of Texas at Austin
Austin, TX 78712, USA
512-471-4230
http://www.ticam.utexas.edu/~gjr

Request for preprints and reprints to gjr@ticam.utexas.edu
This information can be found at http://www.math.utah.edu/research/