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Substructure-based Block-diagonal Preconditioning for BEM Systems of Equations - Applications to the Micromechanical Analysis of General Composites

Araujo, Francisco Celio and Degenhardt, Richard (2010) Substructure-based Block-diagonal Preconditioning for BEM Systems of Equations - Applications to the Micromechanical Analysis of General Composites. 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), 19.-23.Sept. 2010, Rhodos, Greece.

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Abstract

The boundary-element subregion-by-subregion (BE SBS) algorithm, developed in previous works, is employed to construct global block-diagonal preconditioners for BEM systems of equations. As the BE matrices for each BE subregion are independently assembled and stored, the block-diagonal-based preconditioners for the corresponding BE models are immediately constructed. A Krylov solver is embedded in the SBS algorithm, and this work, particularly, the Bi-CG solver is considered. The micromechanical analysis of large-order 3D representative volume elements (RVEs) of carbon-nanotube (CNT) composites are carried out to show the performance of the preconditioned iterative solver.

Item URL in elib:https://elib.dlr.de/83827/
Document Type:Conference or Workshop Item (Speech)
Title:Substructure-based Block-diagonal Preconditioning for BEM Systems of Equations - Applications to the Micromechanical Analysis of General Composites
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Araujo, Francisco CelioDept Civil Eng, UFOP, 35400-000 Ouro Preto, MG, BrazilUNSPECIFIED
Degenhardt, RichardUNSPECIFIEDUNSPECIFIED
Date:2010
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:3D boundary-element models, subregions, Krylov solvers, block-diagonal preconditioning
Event Title:8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010)
Event Location:Rhodos, Greece
Event Type:international Conference
Event Dates:19.-23.Sept. 2010
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation (old), L - Structures & Materials (old)
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Degenhardt, Richard
Deposited On:10 Dec 2013 19:12
Last Modified:31 Jul 2019 19:41

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