Acceleration of Computation for Electromagnetic Wave Scattering Problem with Many Dielectric Circular Cylinders by Means of a Fast Multipole Algorithm (2) : On Two-Step Block Jacobi Method for Block Partitioned Matrix - Collections | Kyushu University Library

＜departmental bulletin paper＞
Acceleration of Computation for Electromagnetic Wave Scattering Problem with Many Dielectric Circular Cylinders by Means of a Fast Multipole Algorithm (2) : On Two-Step Block Jacobi Method for Block Partitioned Matrix

Creator	Author PID 60380680 Creator Name 中嶋, 徳正 NAKASHIMA, Norimasa ナカシマ, ノリマサ Affiliation Affiliation Name 九州大学大学院システム情報科学府 Graduate School of Information Science and Electrical Engineering, Kyushu University
	Author PID 1000040264965 Creator Name 藤野, 清次 FUJINO, Seiji フジノ, セイジ Affiliation Affiliation Name 九州大学情報基盤センター Computing and Communications Center, Kyushu University
	Author PID 40037924 Creator Name 立居場, 光生 TATEIB, Mitsuo タテイバ, ミツオ Affiliation Affiliation Name 九州大学大学院システム情報科学研究院 Faculty of Information Science and Electrical Engineering, Kyushu University
Language	Japanese
Publisher	九州大学情報基盤センター
Publisher	Computing and Communications Center, Kyushu University
Date	2003-03
Source Title
Vol	3
First Page	47
Last Page	56
Publication Type	Version of Record
Access Rights	open access
JaLC DOI	https://doi.org/10.15017/4784351
Abstract	物体による電磁波散乱の境界要素法による数値計算では，計算に最も多くの時間を費やす部分は密な係数行列を持つ連立1次方程式の求解の部分である．そのため，解くべき問題が実際的になるほど連立1次方程式の求解の高速化はより重要となる．従来著者らは高速多重極アルゴリズムを利用して反復法中に現れる行列—ベクトル積計算の高速化を図ってきた．本論文では，連立1次方程式の求解に前処理つきのGMRES法を使用する．また...，係数行列がブロック構造をしていることを利用し，その構造上の特徴を利用した新しい前処理を考案する．そして数値実験を通して，提案する2段階BlockJacobi前処理が大規模問題に対して有用であることを明らかにする． In the computation of electromagnetic wave scattering problem, the most time-comsuming part is that of solving a linear system of equations. This is largely caused by its dense coefficient matrix. This motivates the reduction of amount of operations. In the previous paper, we reduced drastically the amount of operations and necessary memory for matrix-vector product using a fast multipole algorithm. In this paper, we focus on variants of preconditioner. Moreover the GMRES method is adopted as an iterative method. The matrices with a natural block form often arise when the boundary element method is used. This situation is a key to improvement of efficiency of computation. Numerical results show that our proposed two-step block Jacobi method is effective for realizing a high-performance computation as well as standard block Jacobi preconditioner.show more
Table of Contents	1. はじめに 2. N個の誘電体円柱による散乱数値計算 3. GMRES法 4. ブロック構造を利用した前処理 5. 数値計算例 6. おわりに

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PISSN	1346-9010
NCID	AA1158221X
Record ID	4784351
Created Date	2022.05.19
Modified Date	2023.11.17