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Fast Electromagnetic Mortar Finite Element Analyses with High Accuracy Based on Algebraic Multigrid Methods

Research Project

Project/Area Number 17560255
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 電力工学・電気機器工学
Research InstitutionKyoto University

Principal Investigator

SHIMASAKI Masaaki  Kyoto University, Graduate School of Engineering, Professor, 工学研究科, 教授 (60026242)

Co-Investigator(Kenkyū-buntansha) MATSUO Tetsuji  Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (20238976)
IWASHITA Takeshi  Academic Center for Computing and Media Studies, Associate Professor, 助教授 (30324685)
MIFUNE Takeshi  Graduate School of Engineering, Research Associate, 工学研究科, 助手 (20362460)
Project Period (FY) 2005 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2006: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2005: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsElectromagnetic Analyses / Mortar Finite Element Methods / Algebraic Multigrid Methods / Motor Analyses / Sliding Mesh / ベクトル磁気特性
Research Abstract

(1)Research on iterative methods for mortar finite element analyses
Two type formulations are selectable in mortar finite element analyses: one with Lagrange multipliers and the other with elimination of variables on the slave-side boundaries. We propose several new preconditioning techniques, which are based on the incomplete Cholesky decomposition, for linear equations arising from the both formulations. One of the proposed preconditioners applies the incomplete Cholesky decomposition to an approximate coefficient matrix. Numerical tests demonstrate that a combination of the variable elimination and approximation of the matrix is promising from a viewpoint of the elapsed time to solve the equations.
(2)Mortar finite element analyses using algebraic multigrid methods In a preliminary study, we develop algebraic multigrid (AMG) methods, which are efficient preconditioners for sparse matrices arising from the finite edge-and nodal element analyses.
For the mortar finite element analyses, w … More e propose an effective iterative solver preconditioned by the AMG method. Whereas the variable elimination formulation leads to a dense coefficient matrix, the AMG preconditioner is efficiently applied to a sparse matrix, which is an approximation of the original dense matrix. Numerical tests demonstrate an excellent performance of the proposed solver, compared with conventional solvers. The proposed solver can be applied to problems with anti-periodic boundary conditions.
(3)Fast nonlinear magnetic analyses using algebraic multigrid methods
We present a fast nonlinear finite element analysis with the magnetic scalar potential as unknowns. In the Newton-Raphson (NR) iterations, the linear equations are solved by an AMG preconditioned conjugate gradient (CG) solver. The line-search method is applied to improve the convergence of NR iterations. Numerical results show that the AMG-CG solver is efficient for the nonlinear analysis of a benchmark model. Moreover, a considerable speed-up is achieved by relaxing the convergence criterion of the CG iterations. Less

Report

(3 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • Research Products

    (21 results)

All 2007 2006 2005

All Journal Article (21 results)

  • [Journal Article] モルタル有限要素法による電動機解析への代数マルチグリッド法の応用に関する検討2007

    • Author(s)
      美舩健, 松尾哲司, 岩下武史, 島崎眞昭
    • Journal Title

      電気学会・静止器回転機合同研究会資料 SA-07-20/RM-07-20

      Pages: 13-18

    • NAID

      10018481739

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Efficient Linear Solvers for Mortar Finite Element Method2007

    • Author(s)
      T.Matsuo, Y.Ohtsuki, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 43, 4

      Pages: 1469-1472

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Novel Algebraic Multigrid Preconditioning for Large-Scale Edge-Element Analyses2007

    • Author(s)
      T.Mifune, T.Iwashita, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 43, 4

      Pages: 1481-1484

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Application of the Algebraic Multigrid Method to Motor Analysis Using Mortar Finite Element Method2007

    • Author(s)
      T.Mifune, T.Matsuo, T.Iwashita, M.Shimasaki
    • Journal Title

      The Papers of Joint Technical Meeting on Static Apparatus and Rotating Machinery, IEE Japan SA0720/RM0720

      Pages: 13-18

    • NAID

      10018481739

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Efficient Linear Solvers for Mortar Finite Element Method2007

    • Author(s)
      T.Matsuo, Y.Ohtsuki, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 43-4

      Pages: 1469-1472

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Novel Algebraic Multigrid Preconditioning for Large-Scale Edge-Element Analyses2007

    • Author(s)
      T.Mifune, T.Iwashita, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 43-4

      Pages: 1481-1484

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Efficient Linear Solvers for Mortar Finite Element Method2007

    • Author(s)
      T.Matsuo, Y.Ohtsuki, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 43,4

      Pages: 1469-1472

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A Novel Algebraic Multigrid Preconditioning for Large-Scale Edge-Element Analyses2007

    • Author(s)
      T.Mifune, T.Iwashita, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 43,4

      Pages: 1481-1484

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Algebraic Multigrid Preconditioning for 3-D Magnetic Finite-Element Analyses Using Nodal Elements and Edge Elements2006

    • Author(s)
      T.Mifune, S.Isozaki, T.Iwashita, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 42, 4

      Pages: 635-638

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 有限要素磁界解析と大規模線形方程式の高速解法の進展2006

    • Author(s)
      島崎眞昭, 松尾哲司, 岩下武史, 美舩健
    • Journal Title

      電気学会・静止器回転機合同研究会資料 SA-06-75/RM-06-77

      Pages: 95-100

    • NAID

      10019289224

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] 磁気スカラポテンシャルを未知数とした非線形静磁場解析の代数マルチグリッド法による高速化2006

    • Author(s)
      美舩健, 岩下武史, 島崎眞昭
    • Journal Title

      電気学会・静止器回転機合同研究会資料 SA-06-69/RM-06-71

      Pages: 61-66

    • NAID

      10019289151

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Algebraic Multigrid Preconditioning for 3-D Magnetic Finite-Element Analyses Using Nodal Elements and Edge Elements2006

    • Author(s)
      T.Mifune, S.Isozaki, T.Iwashita, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 42-4

      Pages: 635-638

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Advances in Finite Element Magnetic Field Analysis and Fast Solution of Large Scale Systems of Linear Equations2006

    • Author(s)
      M.Shimasaki, T.Matsuo, T.Iwashita, T.Mifune
    • Journal Title

      The Papers of Joint Technical Meeting on Static Apparatus and Rotating Machinery, IEE Japan SA0675/RM0677

      Pages: 95-100

    • NAID

      10019289224

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Speed-Up of Nonlinear Magnetostatic Analyses with the Magnetic Scalar Potential as Unknowns Using the Algebraic Multigrid Method2006

    • Author(s)
      T.Mifune, T.Iwashita, M.Shimasaki
    • Journal Title

      The Papers of Joint Technical Meeting on Static Apparatus and Rotating Machinery, IEE Japan SA0669/RM0671

      Pages: 61-66

    • NAID

      10019289151

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Algebraic Multigrid Preconditioning for 3-D Magnetic Finite-Element Analyses Using Nodal Elements and Edge Elements2006

    • Author(s)
      T.Mifune, S.Isozaki, T.Iwashita, M.Shimasaki
    • Journal Title

      IEEE Transactions on Magnetics 42,4

      Pages: 635-638

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 等方性ベクトルプレイモデルとその回転ヒステリシス損失に関する一考察2006

    • Author(s)
      松尾哲司, 島崎眞昭
    • Journal Title

      電気学会・静止器回転機合同研究会資料

    • NAID

      10017116249

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Efficient Linear Solvers for Mortar Finite Element Method2006

    • Author(s)
      T.Matsuo, Y.Ohtsuki, M.Shimasaki
    • Journal Title

      The 12th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC) (発表予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] モルタル有限要素法を用いた電動機磁界解析に関する検討2006

    • Author(s)
      松尾哲司, 大槻喜則, 島崎眞昭
    • Journal Title

      第18回「電磁力関連のダイナミックス」シンポジウム (発表予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 誘導機固定子を用いた電磁鋼板ベクトル磁気特性計測に関する検討2005

    • Author(s)
      平尾啓, 松尾哲司, 島崎眞昭
    • Journal Title

      平成17年電気関係学会関西支部連合大会講演論文集

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 準定常有限要素磁界解析における代数マルチグリッド法とICCG法の比較2005

    • Author(s)
      友藤大輔, 美舩健, 岩下武史, 島崎眞昭
    • Journal Title

      平成17年電気関係学会関西支部連合大会講演論文集

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 節点要素および辺要素を用いた有限要素磁界解析におけるAMGCG法の並列化に関する検討2005

    • Author(s)
      小畑信彦, 美舩健, 岩下武史, 島崎眞昭
    • Journal Title

      平成17年電気関係学会関西支部連合大会講演論文集

    • Related Report
      2005 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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