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P. de Vincenzo, I. Klapka, M. Geradin, "Performances of Static and Dynamic Solvers on a Sub-Domains Object Oriented Finite Element Architecture", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 169-179, 1998. doi:10.4203/ccp.52.8.1

Abstract

This paper is concerned with the solution of linear static and dynamic problems implemented in an object oriented finite element program called OOFELIE, built on a subdomain architecture concept.

Starting with the Cholesky decomposition and the Gauss elimination algorithms, one will discuss the skyline and the frontal methods. Concerning the frontal algorithm, two different implementations will be presented: one based on a line by line elimination and a second one based on block elimination. One will also take account of the advantages obtained from the use of the BLAS routines.

With these solvers in hand, one will then show how to use them to implement the Guyan-Irons and the Craig-Bampton substructuring methods.

Finally, one will compare the performances of the implemented methods on different kinds of problems and their independent use on each sub-domain.

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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: 52 ADVANCES IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper VIII.1 Performances of Static and Dynamic Solvers on a Sub-Domains Object Oriented Finite Element Architecture P. de Vincenzo, I. Klapka and M. Geradin LTAS Dynamics of Structures,University of Liege, Belgium doi:10.4203/ccp.52.8.1 purchase the full-text of this paper Full Bibliographic Reference for this paper P. de Vincenzo, I. Klapka, M. Geradin, "Performances of Static and Dynamic Solvers on a Sub-Domains Object Oriented Finite Element Architecture", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 169-179, 1998. doi:10.4203/ccp.52.8.1 Abstract This paper is concerned with the solution of linear static and dynamic problems implemented in an object oriented finite element program called OOFELIE, built on a subdomain architecture concept. Starting with the Cholesky decomposition and the Gauss elimination algorithms, one will discuss the skyline and the frontal methods. Concerning the frontal algorithm, two different implementations will be presented: one based on a line by line elimination and a second one based on block elimination. One will also take account of the advantages obtained from the use of the BLAS routines. With these solvers in hand, one will then show how to use them to implement the Guyan-Irons and the Craig-Bampton substructuring methods. Finally, one will compare the performances of the implemented methods on different kinds of problems and their independent use on each sub-domain. 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 £56 +P&P)
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