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2008 Fiscal Year Final Research Report

study on semi-analytic numerical methods for computations in science and engineering

Research Project

  • PDF
Project/Area Number 18560054
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionThe University of Electro-Communications

Principal Investigator

OGATA Hidenori  The University of Electro-Communications, 電気通信学部, 准教授 (50242037)

Project Period (FY) 2006 – 2008
Keywords数値計算 / 偏微分方程式 / 半解析的数値解法 / 境界要素法 / 代用電荷法
Research Abstract

本研究では, 科学技術計算における偏微分方程式問題の数値解法のうち, 基本解法(代用電荷法), 境界要素法など「半解析的数値解法」と呼ばれる解法について, 従来適用困難であった問題に対して解法を改良し適用可能とし, 汎用性・実用性を高めることを目的とした. 研究の結果, 周期的3次元粘性流(Stokes流)問題の基本解法, 周期的弾性体問題の基本解法, および, 周期的2次元ポテンシャル問題の境界要素法を構築することに成功した. そして, 数値実験によりこれらの解法の有用性が確かめられた.

  • Research Products

    (14 results)

All 2009 2008 2007 2006

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (8 results)

  • [Journal Article] Fundamental solution method for periodic plane elasticity, Journal of Numerical Analysis2008

    • Author(s)
      Hidenori Ogata
    • Journal Title

      Industrial and Applied Mathematics vol.3

      Pages: 249-267

    • URL

      http://www.jnaiam.org/journals_view.php?jForm=&nid=6&volumes=3&issue=10

    • Peer Reviewed
  • [Journal Article] Complex variable boundary element method for two-dimensional potential problems with one-dimensional periodicity2008

    • Author(s)
      Hidenori Ogata
    • Journal Title

      Numerical Analysis and Applied Mathematics-International Conference on Numerical Analysis and Applied Mathematics 2008

      Pages: 411-414

    • Peer Reviewed
  • [Journal Article] 1次元周期的2次元Stokes流に対する基本解法2007

    • Author(s)
      緒方秀教
    • Journal Title

      京都大学数理解析研究所講究録 第1566号

      Pages: 119-131

    • Peer Reviewed
  • [Journal Article] Fundamental solution method for three-dimensional elasticity problems with two-dimensional periodicity2006

    • Author(s)
      Hidenori Ogata
    • Journal Title

      ICNAAM International Conference on Numerical Analysis and Applied Mathematics 2006

      Pages: 267-270

    • Peer Reviewed
  • [Journal Article] A fundamental solution method for three-dimensional viscous flow problems with obstacles in a periodic array2006

    • Author(s)
      Hidenori Ogata and Kaname Amano
    • Journal Title

      Journal of Computational and Applied Mathematics vol.193

      Pages: 302-318

    • Peer Reviewed
  • [Journal Article] A fundamental solution method for three-dimensional Stokes flow problems with obstacles in a planar periodic array2006

    • Author(s)
      Hidenori Ogata
    • Journal Title

      Journal of Computational and Applied Mathematics vol.189

      Pages: 622-634

    • Peer Reviewed
  • [Presentation] 円板領域における様々な問題に対する代用電荷法の誤差について2009

    • Author(s)
      緒方秀教
    • Organizer
      日本応用数理学会2008年度研究部会連合発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-03-08
  • [Presentation] 周期的2次元ポテンシャル問題のための半解析的数値解法2008

    • Author(s)
      緒方秀教
    • Organizer
      応用数理に関する愛媛ワークショップ
    • Place of Presentation
      愛媛大学
    • Year and Date
      2008-11-30
  • [Presentation] 周期的2次元ポテンシャル問題のための半解析的数値解法2008

    • Author(s)
      緒方秀教
    • Organizer
      第12回環瀬戸内応用数理研究部会シンポジウム
    • Place of Presentation
      山形大学
    • Year and Date
      2008-10-11
  • [Presentation] Complex variable boundary element method for two-dimensional potential problems with one-dimensional periodicity2008

    • Author(s)
      Hidenori Ogata
    • Organizer
      International Conference on Numerical Analysis and Applied Mathematics 2008
    • Place of Presentation
      Kos, Greece
    • Year and Date
      2008-09-19
  • [Presentation] Boundary element method for spatially-periodic potential problems2007

    • Author(s)
      Hidenori Ogata
    • Organizer
      ICIAM2007-6^<th> International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      Zurich, Switzerland
    • Year and Date
      2007-07-16
  • [Presentation] 周期的ポテンシャル問題に対する境界要素法2006

    • Author(s)
      緒方秀教
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学, 大津
    • Year and Date
      2006-12-20
  • [Presentation] 周期場問題に対する代用電荷法および関連解法2006

    • Author(s)
      緒方秀教
    • Organizer
      福島応用数学小研究集会
    • Place of Presentation
      福島
    • Year and Date
      2006-11-04
  • [Presentation] Fundamental solution method for three-dimensional elasticity problems with two-dimensional periodicity2006

    • Author(s)
      Hidenori Ogata
    • Organizer
      International Conference on Numerical Analysis and Applied Mathematics 2006
    • Place of Presentation
      Crete, Greece
    • Year and Date
      2006-09-18

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Published: 2010-06-10   Modified: 2016-04-21  

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