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A fast solution method for three-dimensional many-particle problems of linear elasticity

✍ Scribed by Yuhong Fu; Kenneth J. Klimkowski; Gregory J. Rodin; Emery Berger; James C. Browne; Jürgen K. Singer; Robert A. Van De Geijn; Kumar S. Vemaganti

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
151 KB
Volume
42
Category
Article
ISSN
0029-5981

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✦ Synopsis

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).

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