Parallelization Performance of Preconditioned COMRTR Method Supported by Multicolor Ordering in Complex Symmetric Linear Systems Derived from Frequency-domain Electromagnetic Field Analysis using Edge-based Finite Element Method

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  • Tsuburaya Tomonori
    Department of Innovation Systems Engineering, Graduate School ofEngineering, Utsunomiya University
  • Okamoto Yoshifumi
    Department of Electronics and ElectricalEngineering, Faculty of Science and Engineering, Hosei University
  • Sato Shuji
    Department of Electrical and Electronic Systems Engineering, Graduate Schoolof Engineering, Utsunomiya University

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Other Title
  • 辺有限要素法による周波数領域電磁界解析から得られる複素対称線形方程式におけるマルチカラーオーダリングを使用した前処理付きCOMRTR法の並列性能
  • ヘン ユウゲン ヨウソホウ ニ ヨル シュウハスウ リョウイキ デンジカイ カイセキ カラ エラレル フクソ タイショウ センケイ ホウテイシキ ニ オケル マルチカラーオーダリング オ シヨウ シタ マエショリ ツキ COMRTRホウ ノ ヘイレツ セイノウ

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Abstract

The parallelization of preconditioned Krylov subspace method is essential for the fast electromagnetic field analysis using edge-based finite element method (FEM). Recently, the parallelization of preconditioned Minimized Residual method based on the Three-term Recurrence formula of the CG-type (MRTR) method by means of multicolor (MC) ordering was demonstrated on the real symmetric linear systems arising in edge-based FEM. Then, this paper investigates the parallelization performance of preconditioned conjugate orthogonal MRTR (COMRTR) method using MC ordering in complex symmetric linear systems. Furthermore, the affinity of two orderings (Reverse Cuthill-McKee and greedy-based MC) on complex symmetric linear systems derived from frequency-domain edge-based FEM is particularly verified.

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