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ADVANCES IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING
Edited by: B.H.V. Topping
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
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
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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