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Paper V.4

Fast Iterative Solvers for Finite Element Analysis in General and Shell Analysis in Particular

P. Saint-Georges, G. Warzee, Y. Notay and R. Beauwens

Service des Milieux Continus & Service de Metrologie Nucleaire, Universite Libre de Bruxelles, Bruxelles, Belgium

doi:10.4203/ccp.39.5.4

P. Saint-Georges, G. Warzee, Y. Notay, R. Beauwens, "Fast Iterative Solvers for Finite Element Analysis in General and Shell Analysis in Particular", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 273-282, 1996. doi:10.4203/ccp.39.5.4

Abstract

Approximate factorizations are probably the most powerful preconditioners at the present time in the context, of iterative solution methods for FE structural analysis. In this contribution we focus on some aspects of the reduction method proposed in [1], which allows the use of perturbed approximate factorizations. In particular, we show that it is not suitable for systems arising from the dicretization with plate or shell elements. On the contrary, corrected Incomplete Cholesky preconditioners are shown to exhibit a much better convergence for such systems.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 39 ADVANCES IN FINITE ELEMENT TECHNOLOGY Edited by: B.H.V. Topping Paper V.4 Fast Iterative Solvers for Finite Element Analysis in General and Shell Analysis in Particular P. Saint-Georges, G. Warzee, Y. Notay and R. Beauwens Service des Milieux Continus & Service de Metrologie Nucleaire, Universite Libre de Bruxelles, Bruxelles, Belgium doi:10.4203/ccp.39.5.4 purchase the full-text of this paper Full Bibliographic Reference for this paper P. Saint-Georges, G. Warzee, Y. Notay, R. Beauwens, "Fast Iterative Solvers for Finite Element Analysis in General and Shell Analysis in Particular", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 273-282, 1996. doi:10.4203/ccp.39.5.4 Abstract Approximate factorizations are probably the most powerful preconditioners at the present time in the context, of iterative solution methods for FE structural analysis. In this contribution we focus on some aspects of the reduction method proposed in [1], which allows the use of perturbed approximate factorizations. In particular, we show that it is not suitable for systems arising from the dicretization with plate or shell elements. On the contrary, corrected Incomplete Cholesky preconditioners are shown to exhibit a much better convergence for such systems. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £85 +P&P)
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