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Theory and applications of shape optimization of singular points in continuum

Research Project

Project/Area Number 16K05285
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionHiroshima Kokusai Gakuin University

Principal Investigator

Ohtsuka Kohji  広島国際学院大学, 情報文化学部, 教授 (30141683)

Co-Investigator(Kenkyū-buntansha) 高石 武史  武蔵野大学, 工学部, 教授 (00268666)
畔上 秀幸  名古屋大学, 情報学研究科, 教授 (70175876)
木村 正人  金沢大学, 数物科学系, 教授 (70263358)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords偏微分方程式境界値問題 / 変分法 / 特異点 / 形状最適化 / 有限要素法 / 破壊力学 / 界面問題 / 数理モデル / 偏微分方程式楕円型境界値問題 / 特異点集合 / 形状最適化問題 / 境界形状最適化 / 界面形状最適化 / 破壊問題 / 一般J積分 / 有限要素解析 / 偏微分方程式
Outline of Final Research Achievements

The author devise a general J-integral(GJ-integral) as an amount of energy release rate in 3d-fracture mechanics and computational complexity including shape sensitivity analysis of continuum. We combine GJ-integral with the H1 gradient method by Professor Azegami (member of the project) to find the optimal shape. The formulation and solution of “shape optimization problem of singular points in boundary value problem” are derived. The shape optimization of singular points is the optimization of boundary shape including mixed boundary, crack shape, and interface at discontinuous coefficient with cost functions (energy, average compliance, mean square error, eigenvalue, etc.). Although functional shape sensitivity analysis is divided into terms including material derivatives and shape derivatives due to initial shapes, Professor Kimura (member of the project) has shown that terms including material derivatives disappear for shape sensitivity analysis in the minimum value problem.

Academic Significance and Societal Importance of the Research Achievements

工学において,破壊力学,形状最適化,界面形状最適化は重要な問題であり,独立して研究されてきた.本研究によりこれらの分野を統合する偏微分方程式境界値問題の特異点集合形状最適化問題に関する理論が構成でき,有限要素法を使った数値計算も容易であることが示せた.一般J積分は筆者が考案したものであり,理論の拡張も主に筆者が行ってきたことから国内外において同様な研究はない.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (90 results)

All 2019 2018 2017 2016 Other

All Journal Article (23 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 21 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (60 results) (of which Int'l Joint Research: 29 results,  Invited: 9 results) Book (1 results) Remarks (4 results) Funded Workshop (2 results)

  • [Journal Article] パターン形成FEMシミュレーションにおける数値解の誤差評価2019

    • Author(s)
      高石武史
    • Journal Title

      武蔵野大学数理工学センター紀要

      Volume: 4 Pages: 33-41

    • NAID

      120006713170

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unidirectional evolution equations of diffusion type2019

    • Author(s)
      Goro Akagi and Masato Kimura
    • Journal Title

      Journal of Differential Equations

      Volume: 266 Issue: 1 Pages: 1-43

    • DOI

      10.1016/j.jde.2018.05.022

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comparing motion of curves and hypersurfaces in $\mathbb{R}^m$.2019

    • Author(s)
      J. Minarcik, M. Kimura, and M. Benes
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 印刷中 Issue: 9 Pages: 1-12

    • DOI

      10.3934/dcdsb.2019032

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Deformation problem for glued elastic bodies and an alternative iteration method2019

    • Author(s)
      M. Kimura and A. Suzuki
    • Journal Title

      Proceedings of CoMFoS18 (印刷中)

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Gradient Flow Structure of an Extended Maxwell Viscoelastic Model and a Structure-Preserving Finite Element Scheme2018

    • Author(s)
      Kimura Masato、Notsu Hirofumi、Tanaka Yoshimi、Yamamoto Hiroki
    • Journal Title

      Journal of Scientific Computing

      Volume: 78 Issue: 2 Pages: 1111-1131

    • DOI

      10.1007/s10915-018-0799-2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Shape Differentiability of Lagrangians and Application to Stokes Problem2018

    • Author(s)
      V. A. Kovtunenko and K. Ohtsuka
    • Journal Title

      SIAM Journal on Control and Optimization

      Volume: 56 Issue: 5 Pages: 3668-3684

    • DOI

      10.1137/17m1125327

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 境界値問題での特異点集合の形状最適化の有限要素解析2018

    • Author(s)
      大塚 厚二
    • Journal Title

      数学

      Volume: 70 Pages: 255-274

    • NAID

      130007880388

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress2018

    • Author(s)
      Chancharoen Wares、Azegami Hideyuki
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 58 Issue: 3 Pages: 935-953

    • DOI

      10.1007/s00158-018-1937-z

    • NAID

      120006536926

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Shape optimization of bodies of musical instruments2018

    • Author(s)
      Hayashi Takuya、Azegami Hideyuki
    • Journal Title

      JSIAM Letters

      Volume: 10 Issue: 0 Pages: 29-32

    • DOI

      10.14495/jsiaml.10.29

    • NAID

      130007420611

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Shape optimisation problem for stability of Navier?Stokes flow field2018

    • Author(s)
      Kiriyama Yasuyuki、Katamine Eiji、Azegami Hideyuki
    • Journal Title

      International Journal of Computational Fluid Dynamics

      Volume: 32 Issue: 2-3 Pages: 68-87

    • DOI

      10.1080/10618562.2018.1500692

    • NAID

      120006554475

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Shape optimization for a linear elastic fish robot2018

    • Author(s)
      Chancharoen Wares、Azegami Hideyuki
    • Journal Title

      JSIAM Letters

      Volume: 10 Issue: 0 Pages: 65-68

    • DOI

      10.14495/jsiaml.10.65

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement2018

    • Author(s)
      T. Rabago Julius Fergy、Azegami Hideyuki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 1 Pages: 131-176

    • DOI

      10.1007/s13160-018-0337-5

    • NAID

      210000187009

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Second derivatives of cost functions and H1 Newton method in shape optimization problems2018

    • Author(s)
      Hideyuki Azegami
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications

      Volume: II Pages: 61-72

    • DOI

      10.1007/978-981-10-6283-4_6

    • ISBN
      9789811062827, 9789811062834
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Shape Optimization by Generalized J-Integral in Poisson's Equation with a Mixed Boundary Condition2018

    • Author(s)
      Kohji Ohtsuka
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications

      Volume: II Pages: 73-84

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] 形状最適化問題における評価関数の2階微分と H1 Newton 法2017

    • Author(s)
      畔上秀幸
    • Journal Title

      数理解析研究所講究録

      Volume: 2037 Pages: 5-16

    • Related Report
      2017 Research-status Report
  • [Journal Article] Shape Optimization by GJ-Integral: Localization Method for Composite Material2017

    • Author(s)
      Kohji Ohtsuka
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications

      Volume: - Pages: 99-110

    • DOI

      10.1007/978-981-10-2633-1_7

    • ISBN
      9789811026324, 9789811026331
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Solution of Shape Optimization Problem and Its Application to Product Design2017

    • Author(s)
      Hideyuki Azegami
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications5

      Volume: - Pages: 83-98

    • DOI

      10.1007/978-981-10-2633-1_6

    • ISBN
      9789811026324, 9789811026331
    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Shape Optimization Approach by Traction Method to Inverse Free Boundary Problems2017

    • Author(s)
      S. Shioda, A. U. Maharani, M. Kimura, H. Azegami and K. Ohtsuka
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications

      Volume: - Pages: 111-126

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Phase Field Crack Growth Model with Hydrogen Embrittlement.2017

    • Author(s)
      Takeshi Takaishi
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications

      Volume: - Pages: 27-34

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Shape optimization approach by traction method to inverse free boundary problems2017

    • Author(s)
      S. Shioda, A. U. Maharani, M. Kimura, H. Azegami, and K. Ohtsuka
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications

      Volume: - Pages: 111-123

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 力法を用いた最適形状設計問題のアプローチによる自由境界問題の数値解析2016

    • Author(s)
      塩田青玄,マハラニ・アハサニ・ウンミ,木村正人,畔上秀幸,大塚厚二
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1995 Pages: 92-101

    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Journal Article] An energy-consistent model of dislocation dynamics in an elastic body2016

    • Author(s)
      V. Chalupeck\'y and M. Kimura:
    • Journal Title

      Mathematical Challenges in a New Phase of Materials Science

      Volume: - Pages: 53-68

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Convergence of a threshold-type algorithm using the signed distance function.2016

    • Author(s)
      K. Ishii and M. Kimura
    • Journal Title

      Interfaces Free Boundaries

      Volume: 18 Pages: 479-522

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Presentation] A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem2019

    • Author(s)
      Julius Fergy T Rabago, Hideyuki Azegami
    • Organizer
      日本応用数理学会2019年研究部会連合発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] スポーツシューズの変形特性に関する評価指標と形状最適化2019

    • Author(s)
      野々川舞, 竹内謙善, 畔上秀幸
    • Organizer
      日本応用数理学会2019年研究部会連合発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 形状最適化問題における評価関数の2 階微分について2019

    • Author(s)
      畔上秀幸
    • Organizer
      日本応用数理学会2019年研究部会連合発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Snow crystal growth model using generalized crystalline method2019

    • Author(s)
      Masato Kimura
    • Organizer
      Taiwan-Japan Joint Workshop on Inverse Problems in Kyoto 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 一般J積分によるStokes問題における形状最最適化2019

    • Author(s)
      大塚厚二、中澤嵩
    • Organizer
      日本応用数理学会 2019年研究部会連合発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Stokes 問題の一般 J 積分による形状最適化2019

    • Author(s)
      大塚厚二、中澤嵩
    • Organizer
      日本数学会 2019 年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Shape optimization realizing given vibration mode and its application to fish robot2018

    • Author(s)
      Wares Chancharoen, Hideyuki Azegami
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2018 (ACSMO 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Muscle activity identification based on shape observation2018

    • Author(s)
      Hideyuki Azegami, Ryota Kurimoto, Genji Saito, Kenzen Takeuchi, Yukihiro Michiwaki, Takahiro Kikuchi, Keigo Hanyuu, Testu Kamiya
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2018 (ACSMO 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Shape optimization for a linear elastic fish robot2018

    • Author(s)
      Wares Chancharoen, Hideyuki Azegami
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] An Improved Shape Optimization Formulation of the Bernoulli Problem by Tracking the Neumann Data2018

    • Author(s)
      Julius Fergy T Rabago, Hideyuki Azegami
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 形状最適化理論と実問題への応用2018

    • Author(s)
      畔上秀幸
    • Organizer
      ポスト「京」重点課題(8)・重点課題(6) 第2回 HPCものづくり統合ワークショップ
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 形状観察に基づく筋活動同定問題の定式化と解法2018

    • Author(s)
      畔上秀幸, 栗本涼太, 齋藤元滋, 竹内謙善, 道脇幸博, 菊地貴博, 羽生圭吾, 神谷哲
    • Organizer
      日本機械学会 第13回最適化シンポジウム (OPTIS 2018)
    • Related Report
      2018 Annual Research Report
  • [Presentation] An efficient second-order method for the numerical resolution of the exterior Bernoulli problem via ""partial"" gradient2018

    • Author(s)
      Julius Fergy T Rabago, Hideyuki Azegami
    • Organizer
      The 6th Asian Conference on Nonlinear Analysis and Optimization
    • Related Report
      2018 Annual Research Report
  • [Presentation] A novel shape optimization formulation of the exterior Bernoulli free boundary problem2018

    • Author(s)
      Julius Fergy T Rabago, Hideyuki Azegami
    • Organizer
      The Computational Techniques and Applications Conference (CTAC) 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 形状最適化問題における評価関数の2 階微分と Newton 法2018

    • Author(s)
      畔上秀幸
    • Organizer
      大阪大学MMDSワークショップ 工学と数学の接点を求めて
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Numerical simulation of crack growth by FreeFem++2018

    • Author(s)
      高石武史
    • Organizer
      有限要素記述言語 FreeFem++ による数値シミュレーション
    • Related Report
      2018 Annual Research Report
  • [Presentation] Maxwell 型と Zener 型の粘弾性き裂進展モデルについて2018

    • Author(s)
      高石武史, 西浦 廉政, Avalos Edgar, Xie Shuangquan, 赤木 和人
    • Organizer
      日本応用数理学会 2018年 年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 流体構造連成問題 -- 弱連成形式での力の釣り合いと領域の変形2018

    • Author(s)
      鈴木厚,高石武史
    • Organizer
      日本応用数理学会 2018年 年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A delamination-vibration model and its finite element analysis2018

    • Author(s)
      Masato Kimura
    • Organizer
      Mathematical Analysis of Continuum Mechanics II
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Gradient flow structure of the Maxwell-Zener model for viscoelasticity2018

    • Author(s)
      Masato Kimura
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Snow crystal growth model with supersaturation of vapor2018

    • Author(s)
      Masato Kimura
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Phase field modeling for crack propagation with irreversibility2018

    • Author(s)
      Masato Kimura
    • Organizer
      China-Japan Symposium on Defects and Cracks in 2018 CSIAM Annual Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A structure preserving finite element method for Maxwell type viscoelasticity problem2018

    • Author(s)
      Masato Kimura
    • Organizer
      Japan-Taiwan Joint Workshop on Scientific Computation and Related Topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 蒸気過飽和度を考慮した2次元雪結晶成長モデル2018

    • Author(s)
      木村正人
    • Organizer
      日本数学会2019年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Generalized J-integral under shape differentiability of Lagrangians2018

    • Author(s)
      Kohji Ohtsuka
    • Organizer
      Mathematical Analysis of Continuum Mechanics II
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 鞍点型変分問題での形状感度解析と一般 J 積分2018

    • Author(s)
      大塚厚二
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A phase field model for crack propagation and some applications2018

    • Author(s)
      Masato Kimura
    • Organizer
      Applied Analysis Seminar
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Shape optimization approach to inverse problems in corrosion detection from partial Cauchy data2018

    • Author(s)
      Julius Fergy Rabago, Hideyuki Azegami
    • Organizer
      IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 一般J 積分による固有値の形状感度解析2018

    • Author(s)
      大塚 厚二
    • Organizer
      日本数学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] 固有値問題における一般J積分2018

    • Author(s)
      大塚 厚二
    • Organizer
      日本応用数理学会研究部会連合発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] 一般J 積分の特異点への感度を考慮する形状最適化に関する検討2017

    • Author(s)
      大塚 厚二
    • Organizer
      2017日本数学会年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Related Report
      2016 Research-status Report
  • [Presentation] 形状最適化問題の正則化解法とその応用2017

    • Author(s)
      畔上秀幸
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Generalized hexagonal crystalline motion with facet collision and breaking and application to a snow flake model2017

    • Author(s)
      Masato Kimura
    • Organizer
      Emerging Developments in Interfaces and Free Boundaries
    • Place of Presentation
      Oberwolfach Research Institute for Mathematics, Germany
    • Year and Date
      2017-01-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] パターン形成FEMシミュレーションにおけるメッシュの異方性の影響の評価2017

    • Author(s)
      高石 武史
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Research-status Report
  • [Presentation] To extend the phase field model to non-brittle crack growth2017

    • Author(s)
      Takeshi Takaishi
    • Organizer
      CoMFoS17
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analysis of unidirectional diffusion equation and its gradient flow structure2017

    • Author(s)
      Masato Kimura
    • Organizer
      The 42nd Sapporo Symposium on Partial Differential Equations
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Maxwell-Zener 粘弾性モデルの勾配流構造とその数値解法2017

    • Author(s)
      山本大輝,木村正人,田中良巳,野津裕史
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Research-status Report
  • [Presentation] Hexagonal crystal growth model with singularities2017

    • Author(s)
      Masato Kimura
    • Organizer
      Free Boundary Problems and Nonlinear PDEs
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Unidirectional diffusion equation and application to crack growth models2017

    • Author(s)
      Masato Kimura
    • Organizer
      Karlstad Applied Analysis Seminar
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Shape Optimization for Bodies of Musical Instruments,2017

    • Author(s)
      Takuya Hayashi, Hideyuki Azegami
    • Organizer
      The 12th World Congress on Structural and Multidisciplinary Optimization
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Topology Optimization of Density Type for Linear Elastic Body Using the Second Derivative of KS function with Respect to the von Mises Stress2017

    • Author(s)
      Wares Chancharoen, Hideyuki Azegami
    • Organizer
      The 12th World Congress on Structural and Multidisciplinary Optimization
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Shape optimization of singular points in boundary value problems2017

    • Author(s)
      Kohji Ohtsuka
    • Organizer
      CoMFoS17
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 境界値問題の特異点集合形状最適化とソボレフ空間トレース定理との関係2017

    • Author(s)
      大塚 厚二
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2017 Research-status Report
  • [Presentation] 境界値問題における特異点集合形状最適化問題の有限要素解析2017

    • Author(s)
      大塚 厚二
    • Organizer
      日本応用数理学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] フェーズフィールドき裂進展モデルの拡張について2016

    • Author(s)
      高石武史,田中良巳,木村正人
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2016-12-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Phase field model for crack propagation and some applications2016

    • Author(s)
      Masato Kimura
    • Organizer
      Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation
    • Place of Presentation
      National Taiwan University, Taiwan
    • Year and Date
      2016-11-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Shape optimization of set of singular points in boundary value problems2016

    • Author(s)
      Kohji Ohtsuka
    • Organizer
      nternational Conference CoMFoS16
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2016-10-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Second derivative of cost function and H1 Newton method in shape optimization problem2016

    • Author(s)
      Hideyuki Azegami
    • Organizer
      International Conference CoMFoS16
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2016-10-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 形状最適化問題における評価関数の2階微分と H1 Newton 法2016

    • Author(s)
      畔上秀幸
    • Organizer
      RIMS研究集会-現象解明に向けた数値解析学の新展開II
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2016-10-19
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 境界値問題における特異点集合の形状最適化2016

    • Author(s)
      大塚 厚二
    • Organizer
      2016日本数学会秋季総合分科会
    • Place of Presentation
      関西大学千里山キャンパス
    • Year and Date
      2016-09-16
    • Related Report
      2016 Research-status Report
  • [Presentation] 一般J積分による特異点集合の形状最適化について2016

    • Author(s)
      大塚 厚二
    • Organizer
      日本応用数理学会 2016年度 年会
    • Place of Presentation
      北九州国際会議場
    • Year and Date
      2016-09-12
    • Related Report
      2016 Research-status Report
  • [Presentation] 密度型位相最適化問題における評価関数の2階微分と H1 Newton 法2016

    • Author(s)
      福岡福治, 畔上秀幸
    • Organizer
      日本応用数理学会 2016年度 年会
    • Place of Presentation
      北九州国際会議場
    • Year and Date
      2016-09-12
    • Related Report
      2016 Research-status Report
  • [Presentation] 形状最適化問題における評価関数の2階微分と H1 Newton 法2016

    • Author(s)
      古木 謙人, 畔上 秀幸
    • Organizer
      日本応用数理学会 2016年度 年会
    • Place of Presentation
      北九州国際会議場
    • Year and Date
      2016-09-12
    • Related Report
      2016 Research-status Report
  • [Presentation] Shape optimization approach to free boundary problems by traction method2016

    • Author(s)
      Masato Kimura
    • Organizer
      ICCOPT2016
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-08-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Applications of a phasefield model for crack propagation2016

    • Author(s)
      Masato Kimura
    • Organizer
      WCCM XII&APCOM VI
    • Place of Presentation
      Coex Convention & Exhibition Center, Korea
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 水素拡散による脆化を伴う開口き裂進展モデル2016

    • Author(s)
      高石 武史
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      朱鷺メッセ:新潟コンベンションセンター
    • Year and Date
      2016-05-31
    • Related Report
      2016 Research-status Report
  • [Presentation] Shape optimization by GJ-integral2016

    • Author(s)
      Kohji Ohtsuka
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2016
    • Place of Presentation
      長崎ブリックホール 国際会議場
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Topology Optimization of Linear Elastic Body Minimizing the Maximum Von Mises Stress2016

    • Author(s)
      Chancharoen Wares, Hideyuki Azegami
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2016
    • Place of Presentation
      長崎ブリックホール 国際会議場
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Second Shape Derivative of Mean Compliance for Linear Elastic Body and Newton Method2016

    • Author(s)
      Yusuke Naritomi, Kento Furuki, Hideyuki Azegami
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2016
    • Place of Presentation
      長崎ブリックホール 国際会議場
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Unidirectional gradient flow and its application to a crack propagation model2016

    • Author(s)
      Masato Kimura
    • Organizer
      Variational Models of Fracture
    • Place of Presentation
      Banff International Research Startion, Canada
    • Year and Date
      2016-05-08
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Book] 形状最適化問題2016

    • Author(s)
      畔上 秀幸
    • Total Pages
      605
    • Publisher
      森北出版
    • Related Report
      2016 Research-status Report
  • [Remarks] Mathematical Aspects of Continuum Mechanics(MACM)

    • URL

      https://sites.google.com/a/comfos.org/comfos/

    • Related Report
      2018 Annual Research Report
  • [Remarks] CoMFoS18

    • URL

      https://sites.google.com/site/comfos2018/

    • Related Report
      2018 Annual Research Report
  • [Remarks] 日本応用数理学会研究部会「連続体力学の数理」ホームページ

    • URL

      http://comfos.org/

    • Related Report
      2017 Research-status Report 2016 Research-status Report
  • [Remarks] 大塚研究室

    • URL

      http://otlab.jp/

    • Related Report
      2016 Research-status Report
  • [Funded Workshop] CoMFoS182018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] International Conference CoMFoS162016

    • Place of Presentation
      九州大学 西新プラザ
    • Year and Date
      2016-10-22
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2023-03-16  

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