The Proceedings of The Computational Mechanics Conference
Online ISSN : 2424-2799
2011.24
Session ID : F101
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F101 Consideration on a Unified Construction Approach of Balancing Domain Decomposition (BDD) Preconditioners
Hiroshi KanayamaMasao OginoShin-ichiro SugimotoQinghe Yao
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Abstract
An iterative domain decomposition method is applied to numerical analysis of 3-Dimensional (3D) linear magnetostatic problems taking the magnetic vector potential as an unknown function. The iterative domain decomposition method is combined with the Preconditioned Conjugate Gradient (PCG) procedure and the Hierarchical Domain Decomposition Method (HDDM) which is adopted in parallel computing. Our previously employed preconditioner was the Neumann-Neumann preconditioner. Numerical results showed that the method was only effective for smaller problems. In this paper, we consider its improvement with the Balancing Domain Decomposition (BDD) preconditioner. Also, we discuss a unified approach for the construction of BDD preconditioners in various applications including elastic problems, heat transfer problems and incompressible viscous flow problems besides magnetostatic problems.
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© 2011 The Japan Society of Mechanical Engineers
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