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F. McCormick, S. , Ruge, J. : Algebraic multigrid (AMG) for sparse matrix equations. In: Sparsity and its applications (Evans, D. ), pp. 257–284. Cambridge: Cambridge University Press, Cambridge 1985. : Robust iterative solvers on unstructured meshes. D. thesis University of Colorado at Denver 1997. [4] Chan, T. : Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes. , UCLA, 1993. CAM Report. [5] Chan, T. : Domain decomposition for unstructured mesh problems.

233–240. New York: J. Wiley, 1997. : New convergence estimates for multilevel algorithms for finite element equations. Submitted.

Acknowledgements This research was supported by the National Science Foundation under grant number ASC-9217394, DMS-9706866, the Department of Energy under grant number DE-FG03-93ER25165, and ONR grant N-00014-95-1-0663. , for providing the UAI/NASTRAN software and Charbel Farhat for providing the real-world testing data. We also thank Caroline Heberton for useful comments on an earlier version of this paper. References [1] Bjørstad, P. : Spectra of sums of orthogonal projections and applications to parallel computing.

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