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Investigation of the weak-form theory framework for the recursive transfer method: Application to the microwave scattering and examination for tensor fields.

Research Project

Project/Area Number 23560065
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Engineering fundamentals
Research InstitutionUniversity of Yamanashi

Principal Investigator

KATO Hatsuhiro  山梨大学, 総合研究部, 准教授 (00270174)

Co-Investigator(Kenkyū-buntansha) KATO Hatsuyoshi  苫小牧工業高等専門学校, 理系総合学科, 教授 (80224525)
Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2013: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2011: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords弱形式離散化 / 逐次伝達法 / マイクロ波吸収 / 弾性波散乱 / フォノン散乱 / 重調和方程式 / 散乱問題 / マイクロ波散乱 / 数値計算法 / マイクロ波 / 弾性波 / Fano共鳴
Outline of Final Research Achievements

As the new method to analyse the scattering method with the computer system by the recursive transfer method, the weak-form discretisation was developed. Noteworthy feature of this discretisation lies in not only the variety of applicable phenomena but also the higher accuracy than ever reported. The effectiveness was demonstrated with the heating phenomenon of microwaves and the resonance phenomenon of elastic plates. Furthermore, as an extendable result, the elastodynamic equation of plates was expressed using the mathematical tools prepared in 20th century.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (14 results)

All 2015 2014 2012 Other

All Journal Article (7 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 2 results) Presentation (4 results) Remarks (3 results)

  • [Journal Article] Application of the recursive transfer method to flexural waves II: Reflection enhancement caused by resonant scattering in acoustic waveguide2015

    • Author(s)
      Hatsuhiro Kato, Hatsuyoshi Kato and Takaaki Ishii
    • Journal Title

      IEICE Transactions: Fundamentals

      Volume: 98-A Pages: 354-361

    • NAID

      130004770920

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 逐次伝達法のための弱形式離散化スキームとその離散化誤差2015

    • Author(s)
      加藤初弘,加藤初儀,
    • Journal Title

      日本応用数理学会 論文誌

      Volume: 25 Pages: 31-46

    • NAID

      110009923191

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Transmission of Acoustic Waves from a Solid Cylinder into a Liquid and Equivalent Acoustic Impedances2014

    • Author(s)
      Hatsuhiro Kato, Hatsuyoshi Kato
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 83

    • NAID

      40020041141

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Application of the recursive transfer method to flexural waves I: Novel discretization scheme using weak form theory framework and wave guide modes on inhomogeneous elastic plates2014

    • Author(s)
      Hatsuhiro Kato, Hatsuyoshi Kato
    • Journal Title

      IEICE Transaction A: Fundamentals

      Volume: E97-A Pages: 1075-1085

    • NAID

      130004770829

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weak Form Discretization, Waveguide Boundary Conditions and Extraction of Quasi-Localized Waves Causing Fano Resonance2014

    • Author(s)
      Hatsuhiro Kato, Hatsuyoshi Kato
    • Journal Title

      IEICE Transactions: Fundamentals

      Volume: E97-A

    • NAID

      130004679255

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 非等質な弾性平板における屈曲波のテンソル基底を用いた新しい定式化2012

    • Author(s)
      加藤初弘, 加藤初儀
    • Journal Title

      日本応用数理学会論文誌

      Volume: 22 Pages: 253-267

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] RTM法を用いたマイクロ波吸収効率に対する局在波効果2012

    • Author(s)
      秋山省悟,加藤初弘,杉山順一
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: 112 Pages: 73-76

    • Related Report
      2012 Research-status Report
  • [Presentation] Weak-Form Discretization Scheme for Recursive Transfer Method2014

    • Author(s)
      Hatsuhiro Kato, Hatsuyoshi Kato and Takaaki Ishii,
    • Organizer
      Kyoto Conference on Numerical Analysis of differential equations
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      2014-09-16 – 2014-09-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] Weak-form discretization and perfectly absorbing boundary condition for recursive transfer method2014

    • Author(s)
      加藤初弘、加藤初儀
    • Organizer
      日本応用数理学会  常微分方程式の数値解析とその周辺 2014
    • Place of Presentation
      静岡理工科大学 袋井キャンパス(静岡県 袋井市)
    • Related Report
      2013 Research-status Report
  • [Presentation] RTM法を用いたマイクロ波吸収効率に対する局在波効果2012

    • Author(s)
      秋山省吾,加藤初弘,杉山順一
    • Organizer
      電子情報通信学会 マイクロ波研究会
    • Place of Presentation
      甲府市 山梨大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 逐次伝達法の弱形式による定式化と導波管内の局在波抽出2012

    • Author(s)
      加藤初弘,中沢亮平,加藤初儀
    • Organizer
      電子情報通信学会 2012年総合大会
    • Place of Presentation
      岡山市 岡山大学
    • Related Report
      2011 Research-status Report
  • [Remarks] Weak-Form Discretization and RTM

    • URL

      http://www.szr.yamanashi.ac.jp/lab/kato/Okura/index.htm

    • Related Report
      2014 Annual Research Report
  • [Remarks] Reserch Subject and Published Articles

    • URL

      http://www.szr.yamanashi.ac.jp/lab/kato/Okura/index.htm

    • Related Report
      2013 Research-status Report
  • [Remarks]

    • URL

      http://erdb.yamanashi.ac.jp/rdb/A_DispInfo.Scholar/0/3B2A43897D879D90.html

    • Related Report
      2011 Research-status Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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