Constructing efficient substructure-based preconditioners for BEM systems of equations

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Engineering Analysis with Boundary Elements

DOI:https://doi.org/10.1016/j.enganabound.2010.09.001· OSTI ID:1004665

D'Araujo, Celio ^[1]; D'Azevedo, Ed F ^[2]; Gray, Leonard J ^[2]

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1. Universidada Federal de Ouro Preto
2. ORNL

In this work, a generic substructuring algorithm is employed to construct global block-diagonal preconditioners for BEM systems of equations. In this strategy, the allowable fill-in positions are those on-diagonal block matrices corresponding to each BE subregion. As these subsystems are independently assembled, the preconditioner for a particular BE model, after the LU decomposition of all subsystem matrices, is easily formed. So as to highlight the efficiency of the preconditioning proposed, the Bi-CG solver, which presents a quite erratic convergence behavior, is considered. In the particular applications of this paper, 3D representative volume elements (RVEs) of carbon-nanotube (CNT) composites are analyzed. The models contain up to several tens of thousands of degrees of freedom. The efficiency and relevance of the preconditioning technique is also discussed in the context of developing general (parallel) BE codes.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 1004665
• Journal Information: Engineering Analysis with Boundary Elements, Vol. 35, Issue 3; ISSN 0955-7997
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
97 MATHEMATICAL METHODS AND COMPUTING
77 NANOSCIENCE AND NANOTECHNOLOGY
BOUNDARY ELEMENT METHOD
ALGORITHMS
CONVERGENCE
DEGREES OF FREEDOM
CARBON
NANOTUBES
COMPOSITE MATERIALS