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Krylov solvers and the generic BE subregioning algorithm: application to 3D composites

Araujo, Franciso Celio and Degenhardt, Richard (2012) Krylov solvers and the generic BE subregioning algorithm: application to 3D composites. Int. Conference on Boundary Element and Meshless Techniques, Prgue, Czech Republic.

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Abstract

Subregioning is a necessary technique for solving practical engineering problems via BEM. It may be needed either to deal with particular physical/geometrical characteristics of a problem or simply to decompose its definition domain by computational reasons (e.g. for parallelization). In the past 20 years, many attempts have been made to efficiently devise generic boundary-element subregioning techniques. Crucial points are how to profit from the sparsity of the global matrix, and how to deal with traction discontinuities (mainly for 3D problems). In this work, the most fundamental steps for efficiently devising a reliable generic subregion-by-subregion (SBS) algorithm are discussed. Mainly the preconditioning of the Krylov solver involved is addressed. As the SBS algorithm is based on iterative solvers, the matrix sparsity is perfectly exploited. Besides the BiCG solver, the BiCGSTAB(l) is considered as well. To verify the performance of the code, the 3D microstructural analysis of carbon-nanotube-reinforced composites (CNT composites) is considered. Particularly, mechanical properties of composites are measured. The representative volume elements (RVEs) adopted consist of carbon-nanotubes (shell-like elements) coupled with a polymeric material matrix.

Item URL in elib:https://elib.dlr.de/83835/
Document Type:Conference or Workshop Item (Speech)
Title:Krylov solvers and the generic BE subregioning algorithm: application to 3D composites
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Araujo, Franciso Celio1Dept Civil Eng, UFOP, Ouro Preto, MG, BrazilUNSPECIFIED
Degenhardt, RichardUNSPECIFIEDUNSPECIFIED
Date:2012
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:3D standard BE formulations, subregion-by-subregion technique, Krylov solvers, preconditioning techniques
Event Title:Int. Conference on Boundary Element and Meshless Techniques
Event Location:Prgue, Czech Republic
Event Type:international Conference
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)
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Degenhardt, Richard
Deposited On:10 Dec 2013 19:02
Last Modified:31 Jul 2019 19:41

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