Updated on 2024/03/21

写真a

 
KEMMOCHI Tomoya
 
Organization
Graduate School of Engineering Applied Physics 1 Assistant Professor
Graduate School
Graduate School of Engineering
Undergraduate School
School of Engineering Physical Science and Engineering
Title
Assistant Professor

Degree 1

  1. 博士(数理科学) ( 2018.3   東京大学 ) 

Research Interests 3

  1. Finite element method

  2. Partial differential equations

  3. Numerical analysis

Research Areas 1

  1. Natural Science / Basic mathematics

Professional Memberships 2

  1. The Mathematical Society of Japan

  2. The Japan Society for Industrial and Applied Mathematics

Committee Memberships 5

  1. 日本応用数理学会   若手の会 幹事運営委員  

    2023.4   

  2. 日本応用数理学会   「JSIAM Letters」編集委員  

    2021.4   

  3. 日本応用数理学会   「応用数理」編集委員  

    2020.4 - 2023.3   

  4. 日本応用数理学会   若手の会 運営委員  

    2019.7 - 2023.3   

  5. 日本応用数理学会   「科学技術計算と数値解析」研究部会 運営協力者  

    2019.4   

Awards 1

  1. 2021年度年会 若手優秀講演賞

    2022.6   日本応用数理学会   不連続Galerkin時間離散化手法による離散勾配法の高精度化

    剱持 智哉

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    Award type:Award from Japanese society, conference, symposium, etc. 

    離散勾配法とは,エネルギー構造(保存・散逸)を持つ時間発展方程式に対する,それらの構造を再現する時間離散化法である.その精度は時間刻み幅に対して高々2次であり,高精度化の研究がこれまでになされてきた.本研究では,新たな高精度化の方法として,不連続Galerkin法による時間離散化手法を用いた手法を提案し,本手法が幅広い方程式に適用可能であることを示した.また,数値例により手法の有効性を示した.

 

Papers 17

  1. Migrating elastic flows Reviewed

    Tomoya Kemmochi, Tatsuya Miura

    Journal de Mathématiques Pures et Appliquées     2024.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1016/j.matpur.2024.02.003

  2. Tensor product-type methods for solving Sylvester tensor equations Reviewed

    Jing Niu, Tomohiro Sogabe, Lei Du, Tomoya Kemmochi, and Shao-Liang Zhang

    Applied Mathematics and Computation     2023.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.amc.2023.128155

  3. Shifted LOPBiCG: A locally orthogonal product-type method for solving nonsymmetric shifted linear systems based on Bi-CGSTAB Reviewed

    Ren-Jie Zhao, Tomohiro Sogabe, Tomoya Kemmochi, Shao-Liang Zhang

    Numerical Linear Algebra with Applications     2023.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1002/nla.2538

  4. A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves. Reviewed

    Eiji Miyazaki, Tomoya Kemmochi, Tomohiro Sogabe & Shao-Liang Zhang

    Commun. Math. Res.     2023.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4208/cmr.2022-0040

  5. Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals Reviewed

    Tomoya Kemmochi, Shun Sato

    BIT   Vol. 62 ( 3 ) page: 903 - 930   2022.1

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s10543-021-00904-w

  6. Computing the matrix fractional power with the double exponential formula Reviewed

    Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, Shao-Liang Zhang

    ETNA - Electronic Transactions on Numerical Analysis   Vol. 54   page: 558 - 580   2021.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1553/etna_vol54s558

  7. On a transformation of the ∗-congruence Sylvester equation for the least squares optimization Reviewed

    Yuki Satake, Tomohiro Sogabe, Tomoya Kemmochi, and Shao-Liang Zhang

    Optimization Methods and Software   Vol. 35 ( 5 ) page: 974 - 981   2020.5

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/10556788.2020.1734004

  8. Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains Reviewed

    Takahito Kashiwabara, Tomoya Kemmochi

    Mathematics of Computation     2020.1

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/mcom/3500

  9. Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain Reviewed

    Takahito Kashiwabara, Tomoya Kemmochi

    Numerische Mathematik   Vol. 144   page: 553 - 584   2020.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00211-019-01098-8

  10. Modified Strang splitting for semilinear parabolic problems Reviewed

    Kosuke Nakano, Tomoya Kemmochi, Yuto Miyatake, Tomohiro Sogabe, Shao-Liang Zhang

    JSIAM Letters   Vol. 11   page: 77 - 80   2019.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.14495/jsiaml.11.77

  11. Numerical Analysis of the Allen-Cahn Equation with Coarse Meshes Reviewed

    Tomoya Kemmochi

    Journal of Mathematical Research with Applications   Vol. 39 ( 6 ) page: 709-717   2019.11

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3770/j.issn:2095-2651.2019.06.014

  12. Relation between the T-congruence Sylvester equation and the generalized Sylvester equation Reviewed

    Yuki Satake, Masaya Oozawa, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, and Shao-Liang Zhang

    Applied Mathematics Letters   Vol. 96   page: 7 - 13   2019.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.aml.2019.04.007

  13. On the finite element approximation for non-stationary saddle-point problems Reviewed

    Tomoya Kemmochi

    Japan Journal of Industrial and Applied Mathematics   Vol. 35 ( 2 ) page: 423-439   2018.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s13160-017-0293-5

  14. Energy dissipative numerical schemes for gradient flows of planar curves Reviewed

    Tomoya Kemmochi

    BIT Numerical Mathematics   Vol. 57 ( 4 ) page: 991-1017   2017.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s10543-017-0685-6

  15. Numerical analysis of elastica with obstacle and adhesion effects Reviewed

    Tomoya Kemmochi

    Applicable Analysis     page: 1   2017.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/00036811.2017.1416100

  16. Discrete maximal regularity and the finite element method for parabolic equations Reviewed

    Tomoya Kemmochi, Norikazu Saito

    Numerische Mathematik   Vol. 138 ( 4 ) page: 905   2017.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00211-017-0929-z

  17. Discrete maximal regularity for abstract Cauchy problems Reviewed

    Tomoya Kemmochi

    Studia Mathematica   Vol. 234 ( 3 ) page: 241-263   2016

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4064/sm8495-7-2016

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MISC 4

  1. On a transformation of the (*)-congruence Sylvester equation for the least squares optimization Reviewed

    Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang

    OPTIMIZATION METHODS & SOFTWARE     2020.3

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  2. Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain Reviewed

    Kashiwabara Takahito, Kemmochi Tomoya

    NUMERISCHE MATHEMATIK   Vol. 144 ( 3 ) page: 553-584   2020.3

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  3. Relation between the T-congruence Sylvester equation and the generalized Sylvester equation Reviewed

    Satake Yuki, Oozawa Masaya, Sogabe Tomohiro, Miyatake Yuto, Kemmochi Tomoya, Zhang Shao-Liang

    APPLIED MATHEMATICS LETTERS   Vol. 96   page: 7-13   2019.10

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  4. Modified Strang splitting for semilinear parabolic problems Reviewed

    Nakano Kosuke, Kemmochi Tomoya, Miyatake Yuto, Sogabe Tomohiro, Zhang Shao-Liang

    JSIAM LETTERS   Vol. 11   page: 77-80   2019

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    Language:English  

    Web of Science

Presentations 37

  1. Structure-preserving numerical methods for gradient flows of planar closed curves International conference

    Tomoya Kemmochi

    ICIAM2023  2023.8.24 

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    Event date: 2023.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University   Country:Japan  

  2. Stokes作用素の有限要素近似に対する離散最大正則性

    剱持 智哉

    日本応用数理学会 第19回 研究部会連合発表会  2023.3.9 

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    Event date: 2023.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:岡山理科大学  

  3. Stokes作用素の有限要素近似に対する離散最大正則性

    剱持 智哉

    2022年度応用数学合同研究集会  2022.12.17 

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    Event date: 2022.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:龍谷大学瀬田キャンパス  

  4. $L^p$-resolvent estimate for finite element approximation of the Stokes operator. Invited International conference

    Tomoya Kemmochi

    基础论坛 第233期  2022.12.7  the Institute of Fundamental and Frontier Sciences, the University of Electronic Science and Technology of China

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    Event date: 2022.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Online   Country:China  

  5. Higher-order discrete gradient methods by discontinuous Galerkin time-stepping methods Invited International conference

    Tomoya Kemmochi

    JSPS seminar: Topics in computational methods for stochastic and deterministic differential equations   2022.10.24  Department of Mathematical Sciences Chalmers and University of Gothenburg

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    Event date: 2022.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Department of Mathematical Sciences Chalmers   Country:Sweden  

  6. Stokes作用素の有限要素近似に対するL^pリゾルベント評価 Invited

    剱持智哉

    RIMS共同研究 (公開型) 「数値解析が拓く次世代情報社会~エッジから富岳まで~」  2022.10.14 

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    Event date: 2022.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:京都大学数理解析研究所  

  7. Stokes作用素の有限要素近似に対するL^pリゾルベント評価

    剱持智哉

    日本数学会2022年度秋季総合分科会  2022.9.15 

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    Event date: 2022.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北海道大学  

  8. 偏微分方程式に対する有限要素法のL^p理論

    剱持智哉

    第3回若手研究交流会  2022.9.11 

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    Event date: 2022.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン  

  9. Stokes作用素の有限要素近似に対するL^pリゾルベント評価

    剱持智哉

    日本応用数理学会2022年度年会  2022.9.8 

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    Event date: 2022.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北海道大学  

  10. Stokes作用素の有限要素近似に対するL^pリゾルベント評価 Invited

    剱持智哉

    名古屋微分方程式セミナー  2022.6.6 

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    Event date: 2022.6

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:名古屋大学大学院多元数理科学研究科  

  11. 不連続Galerkin時間離散化手法による離散勾配法の高精度化 Invited

    剱持智哉

    第83回 京大応用数学セミナー  2021.10.26 

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    Event date: 2021.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:オンライン  

  12. 不連続Galerkin時間離散化手法による離散勾配法の高精度化

    剱持智哉

    応用数理学会2021年度年会  2021.9.9 

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    Event date: 2021.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン  

  13. Cahn-Hilliard方程式に対して構造保存解法とアダプティブ有限要素法を両立させたい

    剱持智哉

    第2回若手研究交流会  2021.9.6 

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    Event date: 2021.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン  

  14. Structure-preserving numerical methods for constrained gradient flows of planar curves Invited International conference

    Tomoya Kemmochi

    ZOOM online colloquium at Department of Applied Mathematics, The Hong Kong Polytechnic University  2020.9.30 

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    Event date: 2020.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:online   Country:Hong Kong  

  15. 平面曲線の制約条件付き勾配流に対する構造保存数値解法 Invited

    剱持智哉

    数値解析セミナー #122  2020.7.21 

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    Event date: 2020.7

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:オンライン  

  16. 重調和方程式に対するC^0内部ペナルティ法の解析 Invited

    剱持智哉

    若手応用数学研究会 

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    Event date: 2019.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  17. Scalar auxiliary variable approach の紹介とその拡張 Invited

    剱持智哉

    RIMS共同研究 (公開型) 諸科学分野を結ぶ基礎学問としての数値解析学 

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    Event date: 2019.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  18. Hamilton 系に対する SAV 法

    剱持智哉

    日本数学会2019年度秋期総合分科会 

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    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  19. Hamilton 系に対する SAV 法

    剱持智哉

    日本応用数理学会2019年度年会 

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    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  20. Structure-preserving numerical scheme for the area-preserving curve shortening flow International conference

    Tomoya Kemmochi

    The 9th International Congress on Industrial and Applied Mathematics 

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    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Spain  

  21. Maximum norm error estimates for linear finite element semi-discretization of parabolic problems on smooth domains Invited International conference

    Tomoya Kemmochi

    Conference on Mathematical, Physical and Intelligent Sciences 2019 

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    Event date: 2019.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  22. Hamilton 系に対する SAV 法

    剱持智哉

    第48回数値解析シンポジウム 

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    Event date: 2019.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  23. 面積保存曲率流方程式に対する構造保存数値解法

    剱持智哉

    不連続Galerkin 有限要素法の数学理論とその周辺:これからの展開 

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    Event date: 2019.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:アクロス福岡   Country:Japan  

  24. 滑らかな領域における放物型方程式に対する有限要素法の誤差評価

    剱持智哉

    常微分方程式の数値解法とその周辺 2018 

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    Event date: 2018.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学豊中キャンパス   Country:Japan  

  25. Energy dissipative numerical schemes for gradient flows of planar curves Invited International conference

    Tomoya Kemmochi

    RIMS workshop: Analysis on Shapes of Solutions to Partial Differential Equations 

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    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS, Kyoto University   Country:Japan  

  26. Maximum norm error estimates for the finite element approximation of parabolic problems on smooth domains Invited International conference

    Tomoya Kemmochi

    Workshop on Numerical Analysis for Partial Differential Equations 

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    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Ehime University   Country:Japan  

  27. Asymptotic behavior of numerical solutions for the Allen-Cahn equation with coarse meshes International conference

    Tomoya Kemmochi

    EASIAM 2018 

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    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:The University of Tokyo   Country:Japan  

  28. An analytic semigroup approach for DG time-stepping methods

    Tomoya Kemmochi

    Workshop on recent progresses in modern numerical analysis 

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    Event date: 2018.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:The University of Tokyo  

  29. Energy dissipative numerical schemes for gradient flows of planar curves

    Tomoya Kemmochi

    EASIAM 2017 

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul National University  

  30. $L^\infty$-error estimates for the finite element method of parabolic problems on domains with smooth boundaries

    Tomoya Kemmochi

    ECM 2017 

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:The Hong Kong Polytechnic University  

  31. Error estimate for the finite element semi-discretization of the nonstationary hydrostatic Stokes equation

    Tomoya Kemmochi

    The 14th Japanese-German International Workshop on Mathematical Fluid Dynamics 

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    Event date: 2017.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University  

  32. Discretization of maximal regularity and its application to the finite element method

    Tomoya Kemmochi

    The 13th Japanese-German International Workshop on Mathematical Fluid Dynamics 

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    Event date: 2016.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Darmstadtium  

  33. Discrete maximal regularity and its application to the finite element method

    Tomoya Kemmochi

    IRTG seminar 

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    Event date: 2016.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Technische Universit?t Darmstadt  

  34. Discrete maximal regularity and the finite element method for parabolic problems

    Tomoya Kemmochi

    EASIAM 2016 

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    Event date: 2016.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Macau  

  35. Numerical analysis on shapes of membranes on rippled surfaces with adhesion

    Tomoya Kemmochi

    The 2nd Joint Workshop of A3 Foresight Program 

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    Event date: 2015.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Xiamen Golden Bay Hotel/Xiameng University  

  36. Numerical analysis on shapes of membranes on rippled surfaces with adhesion

    Tomoya Kemmochi

    Mathematical Aspects of Surface and Interface Dynamics 10 

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    Event date: 2015.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:The University of Tokyo  

  37. Discrete maximal regularity for abstract Cauchy problems and its application to the finite element method

    Tomoya Kemmochi

    ICIAM 2015 

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    Event date: 2015.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:China National Convention Center  

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KAKENHI (Grants-in-Aid for Scientific Research) 3

  1. Analysis on singularities of higher order geometric gradient flows

    Grant number:21H00990  2021.4 - 2026.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Coinvestigator(s) 

  2. Finite element methods for nonlinear partial differential equations on curved domains

    Grant number:19K14590  2019.4 - 2024.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Early-Career Scientists

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    Authorship:Principal investigator 

    Grant amount:\4290000 ( Direct Cost: \3300000 、 Indirect Cost:\990000 )

  3. 離散最大正則性とその有限要素法・有限体積法への応用

    2015.4 - 2018.3

    科学研究費補助金  特別研究促進費

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    Authorship:Other 

 

Teaching Experience (On-campus) 3

  1. 数学2及び演習

    2019

  2. 数学1及び演習

    2019

  3. 数学2及び演習

    2018