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Development of an accurate and fast numerical method for electromagnetic wave scattering problems with a boundary element method

Research Project

Project/Area Number 26790078
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Computational science
Research InstitutionKyoto University

Principal Investigator

NIINO Kazuki  京都大学, 情報学研究科, 助教 (10728182)

Project Period (FY) 2014-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords境界要素法 / 電磁波動散乱問題 / 低周波問題 / 前処理 / Galerkin法 / Calderonの前処理
Outline of Final Research Achievements

In this research, we developed an accurate and fast numerical method using boundary element methods for electromagnetic wave scattering problems. We obtain an accurate solution by utilising an inner product, with which a functional space of solutions is equipped, for discretising integral equations. Also, we proposed preconditioning for an iteration method, which is used for solving the discretised equation, and achieved fast computation by decreasing the iteration number of the iteration method. The numerical method developed in this research is expected to be effective for inverse analyses and eigenvalue analyses, in which we have to solve electromagnetic wave scattering problems many times, since the numerical method can solve electromagnetic wave scattering problems accurately and fast in wide range of frequencies.

Report

(3 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • Research Products

    (18 results)

All 2015 2014

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 3 results) Presentation (15 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Journal Article] 周期多重極境界要素法を用いたナノポーラスゴールドの光起電力解析2015

    • Author(s)
      吉見拓也,新納和樹,西村直志
    • Journal Title

      計算数理工学論文集

      Volume: 15 Pages: 85-90

    • NAID

      40020679617

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] H行列演算を用いた2次元Helmholtz方程式の1周期境界値問題の高速直接解法について2014

    • Author(s)
      松本安弘,新納和樹,西村直志
    • Journal Title

      計算数理工学論文集

      Volume: 14 Pages: 79-84

    • NAID

      40020290965

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 周期単位の一部に欠陥を有する領域における2次元Helmholtz方程式の境界値問題の数値解法について2014

    • Author(s)
      野瀬大一郎,新納和樹,西村直志
    • Journal Title

      計算数理工学論文集

      Volume: 14 Pages: 85-90

    • NAID

      40020291037

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 境界要素法による電磁波動散乱問題の数値解法2015

    • Author(s)
      新納和樹
    • Organizer
      第5回計算力学シンポジウム
    • Place of Presentation
      日本学術会議講堂,東京
    • Year and Date
      2015-12-07
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Boundary element methods for wave scattering problems2015

    • Author(s)
      Kazuki Niino
    • Organizer
      Seminar on Informatics in Asia
    • Place of Presentation
      Melaka, Malaysia
    • Year and Date
      2015-09-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the Galerkin method with the Hdiv inner product for the low-frequency breakdown of the electric field integral equatoin2015

    • Author(s)
      Kazuki Niino
    • Organizer
      The 2nd Chongqing workshop on computational and applied mathematics
    • Place of Presentation
      Chongqing, China
    • Year and Date
      2015-08-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A discretisation method with the Hdiv scalar product for the electric field integral equation2015

    • Author(s)
      Kazuki Niino
    • Organizer
      The 12th International Conference on Mathematical and Numerical Aspects of Waves
    • Place of Presentation
      Karlsruhe, Germany
    • Year and Date
      2015-07-20
    • Related Report
      2015 Annual Research Report 2014 Research-status Report
    • Int'l Joint Research
  • [Presentation] 電磁波動散乱問題に対する電解型積分方程式のHdiv内積を用いた離散化2015

    • Author(s)
      赤木翔
    • Organizer
      計算工学講演会
    • Place of Presentation
      つくば国際会議場,茨城
    • Year and Date
      2015-06-09
    • Related Report
      2015 Annual Research Report
  • [Presentation] 電磁波動散乱問題に対する電解型積分方程式のHdiv内積を用いた離散化2015

    • Author(s)
      赤木翔
    • Organizer
      第20回計算工学講演会
    • Place of Presentation
      つくば国際会議場,茨城
    • Year and Date
      2015-06-09
    • Related Report
      2014 Research-status Report
  • [Presentation] 電磁波動散乱問題に対する電界型積分方程式のHdiv内積を用いた離散化2015

    • Author(s)
      赤木翔
    • Organizer
      日本応用数理学会2015年研究部会連合発表会
    • Place of Presentation
      明治大学中野キャンパス,東京
    • Year and Date
      2015-03-07
    • Related Report
      2014 Research-status Report
  • [Presentation] 低周波問題に対応したMaxwell方程式に対する境界積分方程式の離散化について2014

    • Author(s)
      新納和樹
    • Organizer
      機会学会第27回計算力学講演会
    • Place of Presentation
      岩手大学工学部,岩手
    • Year and Date
      2014-11-22
    • Related Report
      2014 Research-status Report
  • [Presentation] Hdiv内積を用いた境界要素法におけるCalderonの前処理について2014

    • Author(s)
      新納和樹
    • Organizer
      第43回電磁界理論シンポジウム
    • Place of Presentation
      中沢ヴィレッジ,群馬
    • Year and Date
      2014-11-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Maxwell方程式に対する境界要素法の低周波問題について2014

    • Author(s)
      新納和樹
    • Organizer
      第63回理論応用力学講演会
    • Place of Presentation
      東京工業大学大岡山キャンパス,東京
    • Year and Date
      2014-09-26 – 2014-09-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Hdiv内積を用いたPMCHWT定式化による積分方程式の離散化について2014

    • Author(s)
      新納和樹
    • Organizer
      平成26年 電気学会 基礎・材料・共通(A)部門大会
    • Place of Presentation
      信州大学工学部,長野
    • Year and Date
      2014-08-21
    • Related Report
      2014 Research-status Report
  • [Presentation] On a discretisation method with the Hdiv scalar product for Maxwell's equations2014

    • Author(s)
      Kazuki Niino
    • Organizer
      IABEM 2014
    • Place of Presentation
      Zhengzhou, China
    • Year and Date
      2014-08-15
    • Related Report
      2014 Research-status Report
  • [Presentation] Boundary element methods with a Hdiv scalar product for electromagnetic wave scattering problems2014

    • Author(s)
      Kazuki Niino
    • Organizer
      11th World Congress on Computational Mechanics
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2014-07-23
    • Related Report
      2014 Research-status Report
  • [Presentation] A Discretisation Method with a Hdiv Scalar Product for Boudnary Integra Equation Methods2014

    • Author(s)
      Kazuki Niino
    • Organizer
      2014 IEEE International Symposium on Antenna and Propagation and USNC-URSI Radio Science Meeting
    • Place of Presentation
      Memphis, USA
    • Year and Date
      2014-07-11
    • Related Report
      2014 Research-status Report
  • [Presentation] Hdiv内積を用いた電磁波動散乱問題に対する高速多重極法について2014

    • Author(s)
      新納和樹
    • Organizer
      第19回計算工学講演会
    • Place of Presentation
      広島国際会議場,広島
    • Year and Date
      2014-06-11
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2017-05-10  

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