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Parallel Finite Element Domain Decomposition for Structural/Acoustic AnalysisA domain decomposition (DD) formulation for solving sparse linear systems of equations resulting from finite element analysis is presented. The formulation incorporates mixed direct and iterative equation solving strategics and other novel algorithmic ideas that are optimized to take advantage of sparsity and exploit modern computer architecture, such as memory and parallel computing. The most time consuming part of the formulation is identified and the critical roles of direct sparse and iterative solvers within the framework of the formulation are discussed. Experiments on several computer platforms using several complex test matrices are conducted using software based on the formulation. Small-scale structural examples are used to validate thc steps in the formulation and large-scale (l,000,000+ unknowns) duct acoustic examples are used to evaluate the ORIGIN 2000 processors, and a duster of 6 PCs (running under the Windows environment). Statistics show that the formulation is efficient in both sequential and parallel computing environmental and that the formulation is significantly faster and consumes less memory than that based on one of the best available commercialized parallel sparse solvers.
Document ID
20050123604
Acquisition Source
Langley Research Center
Document Type
Reprint (Version printed in journal)
Authors
Nguyen, Duc T.
(Old Dominion Univ. Norfolk, VA, United States)
Tungkahotara, Siroj
(Old Dominion Univ. Norfolk, VA, United States)
Watson, Willie R.
(NASA Langley Research Center Hampton, VA, United States)
Rajan, Subramaniam D.
(Arizona State Univ. Tempe, AZ, United States)
Date Acquired
August 22, 2013
Publication Date
January 1, 2005
Publication Information
Publication: Journal of Computational and Applied Mechanics
Volume: 4
Issue: 2
Subject Category
Acoustics
Funding Number(s)
CONTRACT_GRANT: NAG1-01033
Distribution Limits
Public
Copyright
Other

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