Heat Conductive Analysis with Balancing Domain Decomposition Method

概要

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Balancing Domain Decomposition (BDD) proposed by J. Mandel is an effective preconditioning technique for reducing the number of iterations of iterative Domain Decomposition Method(DDM). Until now many researches have been done on the implementation of BDD in different areas including elasticity problems and semiconductor simulation. In this paper, we implement BDD in another area that is 3-dimensional(3-D) heat conductive analysis in solid. We construct the BDD preconditioner in parallel based on Hierarchical Domain Decomposition Method (HDDM). We report the comparative performance of BDD with diagonal scaling and original DDM without preconditioning to analyse heat conductive problems with about 2 million degrees of freedom and over 11 million degrees of freedom. With BDD the convergence rates are reduced effectively and become independent of the number of subdomains.