Parallel Performance of Multithreaded ICCG Solver Based on Algebraic Block Multicolor Ordering in Finite Element Electromagnetic Field Analyses

Kazuki Semba, Koji Tani, Takashi Yamada, Takeshi Iwashita, Yasuhito Takahashi, Hiroshi Nakashima · IEEE Transactions on Magnetics · 2013

We present a parallel multithreaded incomplete Cholesky-conjugate gradient (ICCG) solver for a linear system derived from a finite element electromagnetic field analysis. Algebraic block multicolor ordering is introduced to parallelize the solver with a high cache hit ratio and convergence comparable to the sequential solver. We develop the parallel ICCG solver based on reordering with modification for electromagnetic field analyses involving external circuits. The numerical results from practical models show that a 2.6- to 3.8-fold speedup compared with the sequential solver is attained using eight cores.

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