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OKa Tomoyuki  岡 大将

… Alternative Names

Oka Tomoyuki  岡 大将

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Researcher Number 00962268
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-8170-5966
Affiliation (Current) 2025: 福岡工業大学, 工学部, 助教
Affiliation (based on the past Project Information) *help 2023: 東京大学, 大学院工学系研究科(工学部), 特任助教
2022: 東京大学, 大学院工学系研究科(工学部), 特任研究員
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Except Principal Investigator
Transformative Research Areas, Section (II)
Keywords
Principal Investigator
熱輻射 / 非線形発展方程式 / 均質化理論 / 非線形境界条件 / レベルセット法 / トポロジー最適化 / 最適設計問題 / 非線形拡散 / 非線形放物型方程式 / 均質化問題 … More / 収束レート / H-収束 / 時空2スケール収束 / 時空unfolding法 / 非線形拡散方程式 / 時空均質化問題 … More
Except Principal Investigator
設計生産 / 幾何学的特徴 / デジタルエンジニアリング / 計算機援用設計 / 仮想的な物理モデル / 幾何学制約 / 製造制約 / 偏微分方程式 / 最適設計 / トポロジー最適化 / S方程式 / 幾何学的特徴量 Less
  • Research Projects

    (3 results)
  • Research Products

    (31 results)
  • Co-Researchers

    (3 People)
  •  動的非線形問題に対するトポロジー最適化理論の基盤構築Principal Investigator

    • Principal Investigator
      岡 大将
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  Middle-up-down shape design modeling based on geometric shape features

    • Principal Investigator
      山田 崇恭
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Transformative Research Areas (B)
    • Review Section
      Transformative Research Areas, Section (II)
    • Research Institution
      The University of Tokyo
  •  Qualitative and quantitative analysis of non-periodic space-time homogenization problems for nonlinear diffusion equationsPrincipal Investigator

    • Principal Investigator
      Oka Tomoyuki
    • Project Period (FY)
      2022 – 2023
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      The University of Tokyo

All 2024 2023 2022

All Journal Article Presentation

  • [Journal Article] Qualitative analysis of space-time periodic homogenization for nonlinear diffusion equations2024

    • Author(s)
      Oka Tomoyuki
    • Journal Title

      RIMS Kokyuroku

    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Journal Article] Construction of signed distance functions with an elliptic equation,2024

    • Author(s)
      Hasebe Takahiro, Masamune Jun, Oka Tomoyuki, Sakai Kota, Yamada Takayuki
    • Journal Title

      arXiv:2401.17665 [math.AP]

    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Journal Article] Level set method via positive parts for optimal design problems of two-material thermal conductors2024

    • Author(s)
      Oka Tomoyuki
    • Journal Title

      Mathematics and Computers in Simulation

      Volume: 223 Pages: 299-306

    • DOI

      10.1016/j.matcom.2024.04.001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K12997, KAKENHI-PROJECT-22K20331
  • [Journal Article] Qualitative analysis of space-time periodic homogenization for nonlinear diffusion equations2024

    • Author(s)
      Oka Tomoyuki
    • Journal Title

      RIMS Kokyuroku

    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Journal Article] Topology optimization method with nonlinear diffusion2023

    • Author(s)
      Oka Tomoyuki、Yamada Takayuki
    • Journal Title

      Computer Methods in Applied Mechanics and Engineering

      Volume: 408 Pages: 115940-115940

    • DOI

      10.1016/j.cma.2023.115940

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Journal Article] 非線形境界条件を伴うトポロジー最適化問題2023

    • Author(s)
      岡 大将
    • Journal Title

      数理解析研究所講究録

      Volume: 2251 Pages: 14-28

    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Journal Article] Nesterov's acceleration for level set-based topology optimization using reaction-diffusion equations2023

    • Author(s)
      Oka Tomoyuki、Misawa Ryota、Yamada Takayuki
    • Journal Title

      Applied Mathematical Modelling

      Volume: 120 Pages: 57-78

    • DOI

      10.1016/j.apm.2023.03.024

    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Journal Article] Space-time homogenization for nonlinear diffusion2023

    • Author(s)
      Akagi Goro、Oka Tomoyuki
    • Journal Title

      Journal of Differential Equations

      Volume: 358 Pages: 386-456

    • DOI

      10.1016/j.jde.2023.01.044

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22K20331, KAKENHI-PROJECT-21K18581, KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-20H01812
  • [Journal Article] Corrector results for space-time homogenization of nonlinear diffusion2022

    • Author(s)
      Oka Tomoyuki
    • Journal Title

      Mathematics and Mechanics of Complex Systems

      Volume: 10 Issue: 2 Pages: 171-190

    • DOI

      10.2140/memocs.2022.10.171

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] 非線形境界条件を伴うトポロジー最適化問題2023

    • Author(s)
      岡 大将, 喜多航佑, 松島慶
    • Organizer
      第19回日本応用数理学会研究部会連合発表会
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Level set-based topology optimization method with nonlinear diffusion2023

    • Author(s)
      岡 大将, 山田 崇恭
    • Organizer
      ICIAM 2023 minisymposia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] Homogenization problem with nonlinear boundary conditions and its application to topology optimization2023

    • Author(s)
      岡 大将
    • Organizer
      7th camp Homogenization and its related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] 楕円型偏微分方程式による近似距離関数の構成に基づく曲率制約の定式化に関する検討2023

    • Author(s)
      酒井虹太,岡大将,山田崇恭
    • Organizer
      第36回計算力学講演会(CMD2023),日本機械学会
    • Data Source
      KAKENHI-PLANNED-23H03800
  • [Presentation] Space-time periodic homogenization for nonlinear diffusion equation2023

    • Author(s)
      赤木 剛朗, 岡 大将
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] 動的平均コンプライアンス最小化問題に対するマルチスケール設計法2023

    • Author(s)
      石岡翔栄,村井直樹,山田崇恭
    • Organizer
      第36回計算力学講演会(CMD2023),日本機械学会
    • Data Source
      KAKENHI-PLANNED-23H03800
  • [Presentation] 消散型波動方程式に対する準周期的時空均質化問題2023

    • Author(s)
      岡大将
    • Organizer
      日本数学会 2023 年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] Qualitative analysis of space-time periodic homogenization for nonlinear diffusion equations2023

    • Author(s)
      岡 大将
    • Organizer
      RIMS Workshop Evolution Equations and Related Topics -Energy Structures and Quantitative Analysis-
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] 連成型仮想的物理モデルに基づく型成形製造制約の数理モデリングと最適設計2023

    • Author(s)
      福岡直也,山田崇恭
    • Organizer
      第36回計算力学講演会(CMD2023),日本機械学会
    • Data Source
      KAKENHI-PLANNED-23H03800
  • [Presentation] Optimal design problem with geometric constraints for manufacturing2023

    • Author(s)
      岡 大将
    • Organizer
      Study Group “Functional Analysis and Applications”
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] Space-time periodic homogenization for nonlinear diffusion equation2023

    • Author(s)
      赤木 剛朗, 岡 大将
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Topology optimization problem with geometric constraints for manufacturing2023

    • Author(s)
      岡 大将
    • Organizer
      第1回形状設計数学セミナ
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Homogenization problem for nonlinear boundary conditions and its applications to optimal design problems2023

    • Author(s)
      岡 大将, 喜多 航佑, 松島 慶
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] Level set-based topology optimization method with nonlinear diffusion2023

    • Author(s)
      岡 大将, 山田 崇恭
    • Organizer
      ICIAM 2023 minisymposia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Topology optimization problem with geometric constraints for manufacturing2023

    • Author(s)
      岡 大将
    • Organizer
      第1回形状設計数学セミナ
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K12997
  • [Presentation] 消散型波動方程式に対する準周期的時空均質化問題2023

    • Author(s)
      岡大将
    • Organizer
      日本数学会 2023 年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Optimal design problem with geometric constraints for manufacturing2023

    • Author(s)
      岡 大将
    • Organizer
      Study Group “Functional Analysis and Applications”
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Homogenization problem for nonlinear boundary conditions and its applications to optimal design problems2023

    • Author(s)
      岡 大将, 喜多 航佑, 松島 慶
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] 熱拡散問題に対するトポロジー最適化への曲率制約の導入2023

    • Author(s)
      酒井虹太,岡大将,山田崇恭
    • Organizer
      第33回設計工学・システム部門講演会,日本機械学会
    • Data Source
      KAKENHI-PLANNED-23H03800
  • [Presentation] Qualitative analysis of space-time periodic homogenization for nonlinear diffusion equations2023

    • Author(s)
      岡 大将
    • Organizer
      RIMS Workshop Evolution Equations and Related Topics -Energy Structures and Quantitative Analysis-
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] Corrector results for space-time homogenization of fast diffusion equations without assumptions for smoothness of coefficients2023

    • Author(s)
      岡 大将
    • Organizer
      日本数学会2023年度年会
    • Data Source
      KAKENHI-PROJECT-22K20331
  • [Presentation] 非線形境界条件を伴うトポロジー最適化について2022

    • Author(s)
      岡 大将
    • Organizer
      RIMS 共同研究(公開型) 偏微分方程式の解の幾何的様相
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K20331
  • 1.  山田 崇恭 (30598222)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 4 results
  • 2.  長谷部 高広 (00633166)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  杉田 直彦 (70372406)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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