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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 52
ADVANCES IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping
Paper III.3
Direct Domain Decomposition Method on a Distributed Memory Architecture J.F. Lassignardie, Y. Escaig and G. Touzot
INSA de Rouen, St Etienne du Rouvray, France J.F. Lassignardie, Y. Escaig, G. Touzot, "Direct Domain Decomposition Method on a Distributed Memory Architecture", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 65-72, 1998. doi:10.4203/ccp.52.3.3
Abstract
This article presents different issues of the implementation
of a domain decomposition method on distributed
memory systems. The proposed domain decomposition
method uses direct solvers for the local problems and for
the interface problem. This method, which is sequentially
as efficient as other direct solvers (like sparse solvers)
shows an inherent parallelism during the resolution of the
local problems. Besides, the interface problem, of which
the matrix is stored in a skyline format, can be solved in
parallel. The parallel performances of the method, implemented
on a Cray T3E, are analysed and compared
with a algebraic parallelisation of a finite element problem.
The method appears to be efficient and better than
a traditionnal parallelisation of a finite element problem
and also offers a better scalability if the size of the problem
increases.
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