Iterative Method and Related Techniques in Finite Element Electromagnetic Field Analyses

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  • 有限要素電磁場解析における反復法とその周辺技術
  • ユウゲン ヨウソ デンジバ カイセキ ニ オケル ハンプクホウ ト ソノ シュウヘン ギジュツ

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Abstract

This paper introduces three techniques that the authors have recently proposed in the area of iterative solvers. The first is a new framework of an explicit and implicit error correction method for error correction in linear iterative solvers. The second technique is folded preconditioning, a technique based on an important theorem about Krylov subspace methods applied to a singular linear system. This technique can reduce redundant unknowns of a singular linear system without any degradation of convergence. The third is A-phi block preconditioning. This technique is a type of folded preconditioning and is specially designed for finite element electromagnetic field analyses. A numerical test confirms that the proposed method reduces computational time for a high-frequency electromagnetic field problem by 45%.

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