Numerical Analysis of 3-D Eddy Current Problems by the Hierarchical Domain Decomposition Method

Abstract

An iterative domain decomposition method is applied to numerical analysis of time-harmonic 3-dimensional eddy current problems, which is related to complex symmetric linear systems. The iterative domain decomposition method is combined with the BiConjugate Gradient (BiCG) procedure, and the Hierarchical Domain Decomposition Method (HDDM), which has been shown effective for structural and heat conductive problems, is adopted for the parallel computing. Numerical results show that the BiCG procedure converges and that a transformer model whose number of complex degrees of freedom is about 100 thousand can be solved efficiently by using HDDM.