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M. Papadrakakis and M.C. Dracopoulos

Department of Civil Engineering, National Technical University, Athens, Greece

doi:10.4203/ccp.9.7.12

M. Papadrakakis, M.C. Dracopoulos, "Improving the Efficiency of Preconditioning for Iterative Methods", in B.H.V. Topping, (Editor), "Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 297-306, 1989. doi:10.4203/ccp.9.7.12

Abstract

Techniques based on the idea of preconditioning and on the element-by-element concept have significantly improved the efficiency of classical iterative methods in conventional as well as in parallel hardware environment. In this work two preconditioning approaches based on the incomplete Choleski factorization have been further refined, with the result that both storage requirements and solution times have been greatly improved when processing large structural problems. The partial preconditioning method is also employed to develop a framework for constructing a global preconditioner, without the need to store the complete coefficient matrix, for accelerating an iterative element-by-element solution procedure.

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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: 9/10 PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping Paper VII.12 Improving the Efficiency of Preconditioning for Iterative Methods M. Papadrakakis and M.C. Dracopoulos Department of Civil Engineering, National Technical University, Athens, Greece doi:10.4203/ccp.9.7.12 purchase the full-text of this paper Full Bibliographic Reference for this paper M. Papadrakakis, M.C. Dracopoulos, "Improving the Efficiency of Preconditioning for Iterative Methods", in B.H.V. Topping, (Editor), "Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 297-306, 1989. doi:10.4203/ccp.9.7.12 Abstract Techniques based on the idea of preconditioning and on the element-by-element concept have significantly improved the efficiency of classical iterative methods in conventional as well as in parallel hardware environment. In this work two preconditioning approaches based on the incomplete Choleski factorization have been further refined, with the result that both storage requirements and solution times have been greatly improved when processing large structural problems. The partial preconditioning method is also employed to develop a framework for constructing a global preconditioner, without the need to store the complete coefficient matrix, for accelerating an iterative element-by-element solution procedure. 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 £78 +P&P)
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