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T. Tanaguchi*, N. Shiraishi+ and A. Soga#

*Department of Civil Engineering, Okayama University, Japan
+Department of Civil Engineering, Kyoto University, Japan
#Department of Civil Engineering, Okayama University, Japan

doi:10.4203/ccp.2.18.3

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T. Tanaguchi, N. Shiraishi, A. Soga, "Numerical Error or Elimination Method for Large Sparse Set of Linear Equations", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 111-117, 1985. doi:10.4203/ccp.2.18.3

Abstract

The application of the finite element method to structural analysis generally requires to solve a large and sparse set of linear equations, but it is wellknown that the reliability of the solution becomes low as the increase of the size of the linear equations. The purpose of this investigation is to show how to prevent the growth of the numerical error due to the elimination procedure. Theoretical study suggests two effective methods for the prevention of the numerical error, and successive experimental study clarifies that one of these, i.e. appropriate elimination ordering, can decrease the error by an order of magnitude. Some other important informations on the elimination ordering are also included in this paper.

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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: 2/3 PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping Paper XVIII.3 Numerical Error or Elimination Method for Large Sparse Set of Linear Equations T. Tanaguchi, N. Shiraishi+ and A. Soga# Department of Civil Engineering, Okayama University, Japan +Department of Civil Engineering, Kyoto University, Japan #Department of Civil Engineering, Okayama University, Japan doi:10.4203/ccp.2.18.3 purchase the full-text of this paper Full Bibliographic Reference for this paper T. Tanaguchi, N. Shiraishi, A. Soga, "Numerical Error or Elimination Method for Large Sparse Set of Linear Equations", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 111-117, 1985. doi:10.4203/ccp.2.18.3 Abstract The application of the finite element method to structural analysis generally requires to solve a large and sparse set of linear equations, but it is wellknown that the reliability of the solution becomes low as the increase of the size of the linear equations. The purpose of this investigation is to show how to prevent the growth of the numerical error due to the elimination procedure. Theoretical study suggests two effective methods for the prevention of the numerical error, and successive experimental study clarifies that one of these, i.e. appropriate elimination ordering, can decrease the error by an order of magnitude. Some other important informations on the elimination ordering are also included in this paper. 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 £90 +P&P)
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