TY - GEN
T1 - A domain decomposition approach for magnetic field problems
AU - Hiroshi, Kanayama
AU - Ryuji, Shioya
AU - Daisuke, Tagami
AU - Takeshi, Nakiri
AU - Masahiro, Saito
PY - 2000
Y1 - 2000
N2 - A numerical analysis with an iterative domain decomposition method is performed for magnetostatic problems, which is based on the initial step of an iterative scheme without the Lagrange multiplier. The magnetic vector potential, which is considered as the unknown function, is descretized by the Nedelec element of simplex type. The iterative domain decomposition method is combined with the Conjugate Gradient (CG) procedure, and the Hierarchical Domain Decomposition Method (HDDM), which has been shown effective for structural problems, is adopted for the parallel computing. Numerical results show that the CG procedure converges, that the computed magnetic flux density is suitable, and that HDDM is effective for a magnetostatic problem where the number of degrees of freedom is about one million.
AB - A numerical analysis with an iterative domain decomposition method is performed for magnetostatic problems, which is based on the initial step of an iterative scheme without the Lagrange multiplier. The magnetic vector potential, which is considered as the unknown function, is descretized by the Nedelec element of simplex type. The iterative domain decomposition method is combined with the Conjugate Gradient (CG) procedure, and the Hierarchical Domain Decomposition Method (HDDM), which has been shown effective for structural problems, is adopted for the parallel computing. Numerical results show that the CG procedure converges, that the computed magnetic flux density is suitable, and that HDDM is effective for a magnetostatic problem where the number of degrees of freedom is about one million.
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M3 - Conference contribution
AN - SCOPUS:84893400001
SN - 8489925704
SN - 9788489925700
T3 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Y2 - 11 September 2000 through 14 September 2000
ER -