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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), 2010-09-19 - 2010-09-23, 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/ | ||||||||||||
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| 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: |
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| 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 Start Date: | 19 September 2010 | ||||||||||||
| Event End Date: | 23 September 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, Prof. Dr. Richard | ||||||||||||
| Deposited On: | 10 Dec 2013 19:12 | ||||||||||||
| Last Modified: | 24 Apr 2024 19:50 |
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