A Fast Solution Method For Three-Dimensional Many-Particle Problems Of Linear Elasticity (1998)
| Venue: | Int. J. Num. Meth. Engrg |
| Citations: | 17 - 5 self |
BibTeX
@ARTICLE{Fu98afast,
author = {Yuhong Fu and Kenneth J. Klimkowski and Gregory J. Rodiny and Emery Berger and James C. Browne and James C and Jürgen K. Singer and Robert A. Van De Geijn and Kumar S. Vemaganti},
title = {A Fast Solution Method For Three-Dimensional Many-Particle Problems Of Linear Elasticity},
journal = {Int. J. Num. Meth. Engrg},
year = {1998},
volume = {42},
pages = {1215--1229}
}
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Abstract
A boundary element method for solving three-dimensional linear elasticity problems that involve a large number of particles embedded in a binder is introduced. The proposed method relies on an iterative solution strategy in which matrix-vector multiplication is performed with the fast multipole method. As a result the method is capable of solving problems with N unknowns using only O(N) memory and O(N) operations. Results are given for problems with hundreds of particles in which N = O(10 5 ). KEY WORDS: boundary element method; fast multipole method; many-particle problem; linear elasticity; iterative solution strategy . yto whom correspondence should be addressed, e-mail gjr@ticam.utexas.edu 1 Introduction In this paper, we introduce a fast boundary element method (BEM) for solving threedimensional linear elasticity problems that involve a large number of particles embedded in a binder. We refer to those problems as many-particle problems and to the new method as FLEMS: Fast Li...
