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By Brezina M., Vanek P.

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Efficient solution of finite difference and finite element equations by algebraic multigrid (AMG). In: Multigrid methods for integral and differential equations. The A Black-Box Iterative Solver [9] [10] [11] [12] [13] [14] 263 Institute of Mathematics and its Applications Conference Series (Paddon D. ), pp. 169–212. Oxford: Clarendon Press 1985. Ruge, J. : Algebraic multigrid (AMG). In: Multigrid methods, vol. 3 (McCormick, S. ), pp. 73–130. Philadelphia: SIAM Frontiers in Applied Mathematics 1987.

This trick (usually referred as the inexact integration) is frequently used for eliminating the locking of plate and shell finite elements. The description of data used in Experiments Nos. 3 and 4 can be found in Table 3. 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.

BIT 31, 76–88 (1991). , S. 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.

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