Yuhong Fu, Kenneth J. Klimkowski, Gregory J. Rodiny, Emery Berger, James C. Browne, Jürgen K. Singer, Robert A. van de Geijn, Kumar S. Vemaganti  Home/Search
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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... (Update)
Context of citations to this paper: More
.... is possible, such as using the new multipole expansion techniques (see, e.g. Peirce and Napier 1995; Gomez and Power 1997; Fu, Klimkowski et al. 1998; Mammoli and Ingber 1999; Nishimura, Yoshida et al. 1999) and the iterative solvers (see, e.g. Freund and Nachtigal 1996;...
.... for those applications, much cheaper methods based on multi pole expansions, fast multipole methods (FMM) have recently become popular [9]. Nonetheless, there are still many such applications that are solved by forming large dense systems of equations. In some cases, this is...
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BibTeX entry: (Update)
Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer, R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg., 42:1215--1229, 1998. http://citeseer.ist.psu.edu/fu98fast.html More
@misc{ fu98fast,
author = "Y. Fu and K. Klimkowski and G. Rodin and E. Berger and J. Browne and J.
Singer and R. Geijn and K. Vemaganti",
title = "A fast solution method for three-dimensional many-particle problems of
linear elasticity",
text = "Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer,
R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional
many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg.,
42:1215--1229, 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/fu98fast.html" }
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