Kashiwabara Takahito 柏原崇人

Researcher Number	80771477
Other IDs
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 東京大学, 大学院数理科学研究科, 准教授 2017 – 2018: 東京大学, 大学院数理科学研究科, 助教 2016 – 2017: 東京大学, 大学院数理科学研究科, 特任助教
Review Section/Research Field	Principal Investigator Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics Except Principal Investigator Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics
Keywords	Principal Investigator ビンガム流体 / ナビエ・ストークス方程式 / プリミティブ方程式 / 誤差評価 / 摩擦型境界条件 / 不連続Galerkin法 / 領域摂動 / Navier-Stokes方程式 / 有限要素法 / 最大値ノルム誤差評価 … More / アイソジオメトリック解析 / 数値解の各点解析 / 接触・摩擦境界条件 / クーロン摩擦条件 / シニョリーニ条件 / 不連続ガレルキン法 / アイソパラメトリック要素 / 滑り境界条件 / H^2正則性 / Rhoteの方法 / 摩擦型漏れ界面条件 / Signorini接触条件 / 領域摂動誤差 / 動弾性体方程式 / アイソパラメトリック有限要素法要素 / 流体 / 応用数学 / 時間大域解 / Euler方程式 / Stokes-Darcy問題 / 最大正則性 / Primitive方程式 … More Except Principal Investigator 誤差解析 / 有限要素法 / 異方的メッシュ / 形状正則性 / 不連続Galerkin法 / 誤差評価 / 楕円型界面問題 / 不連続ガレルキン法 / 有限体積法 / 数値解析 / 発展方程式 / 構造保存型数値解法 / 非線形問題 / 放物型方程式 / 楕円型方程式 Less

偏微分方程式の数値解に対する汎用的な各点解析手法の研究Principal Investigator
- Principal Investigator
  
  柏原崇人
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  The University of Tokyo
Error analysis of finite element methods without the shape regularity assumption
- Principal Investigator
  
  土屋卓也
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Osaka University
Finite element error analysis on anisotropic meshes
- Principal Investigator
  
  土屋卓也
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Osaka University
  Ehime University
Research on the well-posedness, regularity, and justification of numerical methods for fluid problems and related boundary-value problemsPrincipal Investigator
- Principal Investigator
  
  Kashiwabara Takahito
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  The University of Tokyo
Research on PDEs for fluids in terms of numerical and mathematical analysisPrincipal Investigator
- Principal Investigator
  
  Kashiwabara Takahito
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  The University of Tokyo
A new development of mathematical theory of Discontinuous Galerkin FEM
- Principal Investigator
  
  Saito Norikazu
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

[Journal Article] On Finite Volume Methods for a Navier-Stokes Variational Inequality2024
- Author(s)
  Jing Feifei、Han Weimin、Kashiwabara Takahito、Yan Wenjing
- Journal Title
  
  Journal of Scientific Computing
  
  Volume: 98 Issue: 2
- DOI
  10.1007/s10915-023-02408-x
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Journal Article] Partially Centralized Model-Predictive Mean Field Games for controlling multi-agent systems2023
- Author(s)
  Inoue Daisuke、Ito Yuji、Kashiwabara Takahito、Saito Norikazu、Yoshida Hiroaki
- Journal Title
  
  IFAC Journal of Systems and Control
  
  Volume: 24 Pages: 100217-100217
- DOI
  10.1016/j.ifacsc.2023.100217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14357
[Journal Article] The numerical methods for the coupled fluid flow under the?leak interface condition of the friction-type2023
- Author(s)
  Zhou Guanyu、Jing Feifei、Kashiwabara Takahito
- Journal Title
  
  Numerische Mathematik
  
  Volume: 153 Issue: 4 Pages: 729-773
- DOI
  10.1007/s00211-023-01348-w
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Journal Article] A fictitious-play finite-difference method for linearly solvable mean field games2023
- Author(s)
  Inoue Daisuke、Ito Yuji、Kashiwabara Takahito、Saito Norikazu、Yoshida Hiroaki
- Journal Title
  
  ESAIM: Mathematical Modelling and Numerical Analysis
  
  Volume: 57 Issue: 4 Pages: 1863-1892
- DOI
  10.1051/m2an/2023026
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14357
[Journal Article] Unique solvability of a crack problem with Signorini-type and Tresca friction conditions in a linearized elastodynamic body2022
- Author(s)
  Kashiwabara Takahito、Itou Hiromichi
- Journal Title
  
  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  
  Volume: 380 Issue: 2236 Pages: 20220225-20220225
- DOI
  10.1098/rsta.2022.0225
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14357, KAKENHI-PROJECT-18K03380
[Journal Article] Justification of the hydrostatic approximation of the primitive equations in anisotropic space $L^\infty_H L^q_{x_3}(T^3)$2022
- Author(s)
  Furukawa Ken、Kashiwabara Takahito
- Journal Title
  
  Adv. Math. Sci. Appl.
  
  Volume: 31 Pages: 45-71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14357
[Journal Article] The hydrostatic approximation for the primitive equations by the scaled Navier?Stokes equations under the no-slip boundary condition2021
- Author(s)
  Furukawa Ken、Giga Yoshikazu、Kashiwabara Takahito
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 21 Issue: 3 Pages: 3331-3373
- DOI
  10.1007/s00028-021-00674-6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19H00639, KAKENHI-PROJECT-20K20342, KAKENHI-PROJECT-20K14357
[Journal Article] Unique solvability of crack problem with time-dependent friction condition in linearized elastodynamic body2021
- Author(s)
  Itou Hiromichi、Kashiwabara Takahito
- Journal Title
  
  Mathematical notes of NEFU
  
  Volume: 28 Issue: 3(111) Pages: 121-134
- DOI
  10.25587/svfu.2021.38.33.008
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03380, KAKENHI-PROJECT-20K14357
[Journal Article] The Crouzeix?Raviart element for the Stokes equations with the slip boundary condition on a curved boundary2021
- Author(s)
  Zhou Guanyu、Oikawa Issei、Kashiwabara Takahito
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 383 Pages: 113123-113123
- DOI
  10.1016/j.cam.2020.113123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14357
[Journal Article] An analysis on the penalty and Nitsche's methods for the Stokes?Darcy system with a curved interface2021
- Author(s)
  Zhou Guanyu、Kashiwabara Takahito、Oikawa Issei、Chung Eric、Shiue Ming-Cheng
- Journal Title
  
  Applied Numerical Mathematics
  
  Volume: 165 Pages: 83-118
- DOI
  10.1016/j.apnum.2021.02.006
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357, KAKENHI-PROJECT-20K22300, KAKENHI-PROJECT-21H04431
[Journal Article] A robust discontinuous Galerkin scheme on anisotropic meshes2021
- Author(s)
  Kashiwabara Takahito、Tsuchiya Takuya
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 38 Issue: 3 Pages: 1001-1022
- DOI
  10.1007/s13160-021-00474-y
- NAID
  210000181401
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03372, KAKENHI-PROJECT-20K14357, KAKENHI-PROJECT-20H01820
[Journal Article] Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains2020
- Author(s)
  Kashiwabara Takahito、Kemmochi Tomoya
- Journal Title
  
  Mathematics of Computation
  
  Volume: 89 Issue: 324 Pages: 1647-1679
- DOI
  10.1090/mcom/3500
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14590, KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-20K14357
[Journal Article] The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions2020
- Author(s)
  Giga Yoshikazu、Gries Mathis、Hieber Matthias、Hussein Amru、Kashiwabara Takahito
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 279 Issue: 3 Pages: 108561-108561
- DOI
  10.1016/j.jfa.2020.108561
- NAID
  120006383828
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-20K20342, KAKENHI-PROJECT-20K14357
[Journal Article] Analyticity of solusions to the primitive equations2020
- Author(s)
  Y. Giga, M. Gries, M. Hieber, A. Hussein and T. Kashiwabara
- Journal Title
  
  Math. Nachr.
  
  Volume: 293 Issue: 2 Pages: 284-304
- DOI
  10.1002/mana.201700401
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H00639, KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-26220702
[Journal Article] Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain2020
- Author(s)
  Kashiwabara Takahito、Kemmochi Tomoya
- Journal Title
  
  Numerische Mathematik
  
  Volume: 144 Issue: 3 Pages: 553-584
- DOI
  10.1007/s00211-019-01098-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14590, KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-20K14357
[Journal Article] Rigorous justication of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations2020
- Author(s)
  K. Furukawa, Y. Giga, M. Hieber, A. Hussein, T. Kashiwabara and M. Wrona
- Journal Title
  
  Nonlinearity
  
  Volume: 33 Issue: 12 Pages: 6502-6516
- DOI
  10.1088/1361-6544/aba509
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20342, KAKENHI-PROJECT-20K14357
[Journal Article] Some DG schemes for the Stokes-Darcy problem using P1/P1 element2019
- Author(s)
  Zhou Guanyu、Kashiwabara Takahito、Oikawa Issei、Chung Eric、Shiue Ming-Cheng
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 36 Issue: 3 Pages: 1101-1128
- DOI
  10.1007/s13160-019-00377-z
- NAID
  210000180505
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Journal Article] Penalty method with Crouzeix-Raviart finite element approximation for the Stokes equations under the slip boundary condition2019
- Author(s)
  Takahito Kashiwabara, Issei Oikawa, and Guanyu Zhou
- Journal Title
  
  ESAIM: Mathematical Modelling and Numerical Analysis
  
  Volume: 印刷中 Issue: 3 Pages: 869-891
- DOI
  10.1051/m2an/2019008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-18K13460, KAKENHI-PROJECT-17K14243
[Journal Article] Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces2017
- Author(s)
  Galdi Giovanni P、Hieber Matthias、Kashiwabara Takahito
- Journal Title
  
  Nonlinearity
  
  Volume: 30 Issue: 10 Pages: 3979-3992
- DOI
  10.1088/1361-6544/aa8166
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-15H03635
[Journal Article] Bounded $H^{\infty }$-calculus for the hydrostatic Stokes operator on $L^p$-spaces and applications2017
- Author(s)
  Giga Yoshikazu、Gries Mathis、Hieber Matthias、Hussein Amru、Kashiwabara Takahito
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 145 Issue: 9 Pages: 3865-3876
- DOI
  10.1090/proc/13676
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-26220702
[Journal Article] A penalty method for the time-dependent Stokes problem with the slip boundary condition and its finite element approximation2017
- Author(s)
  Zhou Guanyu、Kashiwabara Takahito、Oikawa Issei
- Journal Title
  
  Applications of Mathematics
  
  Volume: 62 Issue: 4 Pages: 377-403
- DOI
  10.21136/am.2017.0328-16
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14230, KAKENHI-PROJECT-17K14243, KAKENHI-PROJECT-15H03635
[Journal Article] Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition2016
- Author(s)
  Takahito Kashiwabara, Issei Oikawa and Guanyu Zhou
- Journal Title
  
  Numerische Mathematik
  
  Volume: -- Issue: 4 Pages: 705-740
- DOI
  10.1007/s00211-016-0790-5
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800089, KAKENHI-PROJECT-15H03635
[Journal Article] Penalty Method for the Stationary Navier–Stokes Problems Under the Slip Boundary Condition2015
- Author(s)
  Guanyu Zhou, Takahito Kashiwabara and Issei Oikawa
- Journal Title
  
  Journal of Scientific Computing
  
  Volume: -- Issue: 1 Pages: 339-374
- DOI
  10.1007/s10915-015-0142-0
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800089, KAKENHI-PROJECT-15H03635
[Presentation] $H^2$-regularity for the non-stationary Navier--Stokes equations under boundary conditions of friction type2024
- Author(s)
  Takahito Kashiwabara
- Organizer
  Seminar at University of Electronic Science and Technology of China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] $H^2$-regularity up to boundary for a Bingham fluid2023
- Author(s)
  Takahito Kashiwabara
- Organizer
  ICIAM 2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Error estimates of the finite element method in smooth domains2023
- Author(s)
  Takahito Kashiwabara
- Organizer
  MSJ-KMS Joint Meeting 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] 放物型方程式に対する時間半離散不連続 Galerkin 法の誤差評価2023
- Author(s)
  柏原崇人
- Organizer
  第 28 回計算工学講演会
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Error estimates of the DG-time stepping method for parabolic equations and the CIP method for advection equations2023
- Author(s)
  Takahito Kashiwabara
- Organizer
  International Workshop on Multiphase flows
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2022
- Author(s)
  Takahito Kashiwabara
- Organizer
  Colloquium Talk (online), The Hong Kong Polytechnic University
- Invited
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] 放物型方程式に対する時間半離散不連続ガラーキン法の$L^\infty_T L^p_x$ノルム誤差評価2022
- Author(s)
  柏原崇人
- Organizer
  RIMS共同研究「数値解析が拓く次世代情報社会~エッジから富岳まで~」
- Invited
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] 速度を含むSignorini型接触条件とTresca摩擦条件下での線形動弾性体方程式の一意可解性2022
- Author(s)
  柏原崇人
- Organizer
  九州関数方程式セミナー（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] 速度を含むSignorini 型接触条件とTresca摩擦条件下での線形動弾性体方程式の一意可解性2022
- Author(s)
  柏原崇人
- Organizer
  非線形発展方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] 速度を含むSignorini 型接触条件とTresca摩擦条件下での線形動弾性体方程式の一意可解性2022
- Author(s)
  柏原崇人
- Organizer
  北陸応用数理研究会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2022
- Author(s)
  Takahito Kashiwabara
- Organizer
  WCCM-APCOM 2022 (online)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2022
- Author(s)
  Takahito Kashiwabara
- Organizer
  SIAM Annual Meeting (online)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2022
- Author(s)
  T. Kashiwabara
- Organizer
  Colloquium Talk at Department of Applied Mathematics, The Hong Kong Polytechnic University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Semigroup and maximal regularity approach to the primitive equations2021
- Author(s)
  T. Kashiwabara
- Organizer
  The Third Russia-Japan Workshop “Mathematical analysis of fracture phenomena for elastic structures and its applications” (CoMFoS21)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] 非定常な摩擦型・Signorini型境界条件問題の適切性について2021
- Author(s)
  柏原崇人
- Organizer
  東大数理講演会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Unique solvability of a crack problem with Signorini-type and given-friction conditions in a linearized elastodynamic body2020
- Author(s)
  Takahito Kashiwabara
- Organizer
  2nd Russia-Japan Workshop: Mathematical analysis of fracture phenomena for elastic structures and its applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] The semigroup and maximal regularity approach to the primitive equations2020
- Author(s)
  Takahito Kashiwabara
- Organizer
  Oberwolfach MFO-Webinar on Mathematical Advances in Geophysical Flows
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14357
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2019
- Author(s)
  Takahito Kashiwabara
- Organizer
  International Congress on Industrial and Applied Mathematics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Some property of the L^2-projection to P1 functions and its application to 1D characteristic FEM2019
- Author(s)
  Takahito Kashiwabara
- Organizer
  International Congress on Industrial and Applied Mathematics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Remarks on the regularity of slip boundary value problems of friction type2019
- Author(s)
  Takahito Kashiwabara
- Organizer
  Evolution Equations: Applied and Abstract Perspectives -in honour of Matthias Hieber's 60th birthday-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Semigroup and maximal regularity approach to the primitive equations2019
- Author(s)
  Takahito Kashiwabara
- Organizer
  RIMS Gasshuku-style Seminar "Physical and mathematical applications to geophysical fluid problems''
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Remarks on the regularity of slip boundary value problems of friction type2019
- Author(s)
  Takahito Kashiwabara
- Organizer
  Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications''
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] 滑らかな領域における楕円型・放物型ノイマン境界値問題に対する有限要素法の$L^\infty$誤差評価について2018
- Author(s)
  柏原崇人
- Organizer
  大分大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] 滑らかな領域における楕円型・放物型ノイマン境界値問題に対する有限要素法の$L^\infty$誤差評価について2018
- Author(s)
  柏原崇人
- Organizer
  数値解析セミナー（東京大学）
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Several remarks on $L^\infty$-type error estimates of the finite element method2018
- Author(s)
  T. Kashiwabara
- Organizer
  International Workshop on Numerical Methods for Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] Penalty method with Crouzeix--Raviart approximation for the Stokes equations under slip boundary condition2018
- Author(s)
  T Kashiwabara
- Organizer
  The 7th China-Japan-Korea Joint Conference on Numerical Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] Global strong well-posedness of the primitive equations in $L^\infty_{xy}L^p_z$-type spaces2018
- Author(s)
  T. Kashiwabara
- Organizer
  The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] Navier-Stokes方程式に対する摩擦型境界条件とその周辺2018
- Author(s)
  柏原崇人
- Organizer
  応用解析セミナー（東京大学）
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Semigroup and maximal regularity approach to the primitive equations2018
- Author(s)
  T. Kashiwabara
- Organizer
  Conference on Mathematical Fluid Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] The Navier-Stokes equations with slip or leak boundary conditions of friction type2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  CoMFos18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] 非一様メッシュにおける有限要素法の$L^\infty$型誤差評価について2018
- Author(s)
  柏原崇人
- Organizer
  RIMS共同研究「次世代の科学技術を支える数値解析学の基盤整備と応用展開」
- Invited
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  East Asia SIAM Conference
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Several remarks on $L^\infty$-type error estimates of the finite element method2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  International Workshop on Numerical Methods for Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Penalty method with Crouzeix--Raviart approximation for the Stokes equations under slip boundary condition2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  The 7th China-Japan-Korea Joint Conference on Numerical Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Semigroup and maximal regularity approach to the primitive equations2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  Forum in Nonlinear PDEs from Oceanic and atmospheric dynamics and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] The Navier-Stokes equations with slip or leak boundary conditions of friction type2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  CoMFoS18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] Semigroup and maximal regularity approach to the primitive equations2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  Conference on Mathematical Fluid Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2018
- Author(s)
  T. Kashiwabara
- Organizer
  Numerical Analysis: Applications to Biomedical Problems and Foundations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] Finite element analysis for a generalized Robin boundary value problem in a smooth domain2018
- Author(s)
  Takahito Kashiwabara
- Organizer
  Numerical Analysis: Applications to Biomedical Problems and Foundations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] On the semigroup approach to the primitive equations2017
- Author(s)
  Takahito Kashiwabara
- Organizer
  MFO Workshop
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] On the semigroup approach to the primitive equations2017
- Author(s)
  T. Kashiwabara
- Organizer
  MFO Workshop, Oberwolfach
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] Global strong well-posedness of the primitive equations in $L^\infty_{xy}L^p_z$-type spaces2017
- Author(s)
  Takahito Kashiwabara
- Organizer
  The 15th Japanese--German International Workshop on Mathematical Fluid Dynamics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] Some remarks on Luo-Hou's potentially singular solution for the 3D Euler equations2017
- Author(s)
  Takahito Kashiwabara
- Organizer
  PDE Seminar, Chung-ang University
- Invited
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] プリミティブ方程式に対する解析半群の方法について2017
- Author(s)
  柏原崇人
- Organizer
  第6回岐阜数理科学研究会
- Data Source
  KAKENHI-PROJECT-17K14230
[Presentation] $W^{1,\infty}$-error Analysis of the Finite Element Method in a Smooth Domain2016
- Author(s)
  T. Kashiwabara
- Organizer
  EASIAM 2016
- Place of Presentation
  マカオ（中国）
- Year and Date
  2016-06-20
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03635
[Presentation] 有限要素法における$L^\infty$型誤差評価と離散グリーン関数について2016
- Author(s)
  柏原崇人
- Organizer
  日本数学会
- Place of Presentation
  関西大学（大阪府・吹田市）
- Year and Date
  2016-09-15
- Invited
- Data Source
  KAKENHI-PROJECT-15H03635

1. 小林健太 (60432902)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. 土屋卓也 (00163832)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
3. Saito Norikazu (00334706)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 松尾宇泰 (90293670)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 村川秀樹 (40432116)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. OIKAWA Issei

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
7. ITOU Hiromichi

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
8. 儀我美一

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results
9. 剱持智哉

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Kashiwabara Takahito 柏原 崇人

Research Projects

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偏微分方程式の数値解に対する汎用的な各点解析手法の研究Principal Investigator

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Error analysis of finite element methods without the shape regularity assumption

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Finite element error analysis on anisotropic meshes

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Research on the well-posedness, regularity, and justification of numerical methods for fluid problems and related boundary-value problemsPrincipal Investigator

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Research on PDEs for fluids in terms of numerical and mathematical analysisPrincipal Investigator

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A new development of mathematical theory of Discontinuous Galerkin FEM

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[Journal Article] On Finite Volume Methods for a Navier-Stokes Variational Inequality2024

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[Journal Article] Partially Centralized Model-Predictive Mean Field Games for controlling multi-agent systems2023

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[Journal Article] The numerical methods for the coupled fluid flow under the?leak interface condition of the friction-type2023

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[Journal Article] A fictitious-play finite-difference method for linearly solvable mean field games2023

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[Journal Article] Unique solvability of a crack problem with Signorini-type and Tresca friction conditions in a linearized elastodynamic body2022

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[Journal Article] Justification of the hydrostatic approximation of the primitive equations in anisotropic space $L^\infty_H L^q_{x_3}(T^3)$2022

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[Journal Article] The hydrostatic approximation for the primitive equations by the scaled Navier?Stokes equations under the no-slip boundary condition2021

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[Journal Article] Unique solvability of crack problem with time-dependent friction condition in linearized elastodynamic body2021

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[Journal Article] The Crouzeix?Raviart element for the Stokes equations with the slip boundary condition on a curved boundary2021

Kashiwabara Takahito 柏原崇人