Rchr
J-GLOBAL ID：200901032201503911
Update date: Nov. 28, 2024
Tsuchiya Takuya
ツチヤ タクヤ | Tsuchiya Takuya
Affiliation and department：
Job title：
Guest researcher
Research field (2)：
Applied mathematics and statistics
, Basic mathematics
Research keywords (4)：
Numerical differential geometry
, Interpolation of functions and its error analysis
, Mathematical foundation of the finite element methods
, Numerical Methods for partial differential equations
Research theme for competitive and other funds (36)：
- 2024 - 2028 補間誤差解析を超えて切り拓く有限要素法と精度保証付き数値計算の新たなる地平
- 2024 - 2028 形状正則性を仮定しない有限要素法の誤差解析の研究
- 2021 - 2025 精度保証付き数値計算の前進---有限と無限をつなぐもの---
- 2020 - 2024 新たな段階に入った有限要素法基盤の精度保証付き数値計算の進展
- 2021 - 2023 Finite element error analysis on anisotropic meshes
- 2016 - 2020 Advanced research on the Numerical verification Method based on the Finite Element Method
- 2017 - 2018 悪条件な三角形分割を許容する有限要素スキームの探求
- 2015 - 2017 What is ``good" shape of elements in FEM
- 2014 - 2017 Study of interpolation error analysis for finite element methods
- 2013 - 2016 Research on the efficient calculation and numerical verification for the 3-d finite element method
- 2011 - 2015 Mathematical theory of the finite volume methods
- 2010 - 2012 Study on finite element exterior calculus
- 2007 - 2009 Research on the Charge Simulation Method and the Numerical Conformal Mapping
- 2007 - 2009 Study of finite element analysis on differential manifolds
- 2005 - 2006 Study of finite element methods for nonlinear problems and its error analysis
- 2003 - 2006 Synthetic approach for the development of computer assisted analysis from the numerical verification methods
- 2003 - 2005 Numerical Conformal Mappings by the Charge Simulation Method and Their Applications to Fluid Mechanics
- 2002 - 2004 Process algebra based analysis and verification for asynchronous communications appeared in parallel programs
- 2002 - 2003 Mathematical Theory of Error Analysis of Finite Element Methods
- 2000 - 2001 Error Analysis of Ritz Finite Element Methods
- 1999 - 2001 Finite difference and finite element analysis for partial differential equations
- 1998 - 1999 Error analysis of finite element solutions to nonlinear partial differential equations
- 1997 - 1998 Mathematical analysis of linear/nonlinear iterative algorithms including GMRES, SOR, etc.
- 1996 - 1996 有限要素解に対する後験的誤差評価の研究
- 1995 - 1995 非線形方程式の理論的および数値解析的研究
- 1994 - 1994 非線形偏微分方程式論における実解析的方法
- 1994 - 1994 非線形ステファン問題の解の数値的検証
- 1993 - 1993 位相群の距離化可能性,自由位相群の研究
- 1993 - 1993 パラメータを含む非線形微分方程式の解の数値的検証
- 1992 - 1992 微分不可能項をもつ非線形方程式の解析
- 1991 - 1991 代数・有限群:有限幾何学・アダマ-ル行列の研究
- 1987 - 1987 計算科学への圏論の応用
- 1986 - 1987 Computing Science and Statistical Mechanics
- 1986 - 1986 多変量解析と計算アルゴリズム
- 1983 - 楕円型偏微分方程式に対する有限要素法の数学的基礎
- 1983 - Mathematical Foundation of the finite element methods for elliptic partial differential equations
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Papers (44)：
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Kenta Kobayashi, Takuya Tsuchiya. Error estimation for finite element solutions on meshes that contain thin elements. Applications of Mathematics. 2024. 69. 571-588
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Takashi Suzuki, Takuya Tsuchiya. Hadamard variation of eigenvalues with respect to general domain perturbations. Journal of the Mathematical Society of Japan. 2024
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Takashi SUZUKI, Takuya TSUCHIYA. Liouville's formulae and Hadamard variation with respect to general domain perturbations. Journal of the Mathematical Society of Japan. 2023. 75. 3. 1025-1053
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Kenta Kobayashi, Takuya Tsuchiya. Lectures on the error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons. Memoirs of the Facculty of Science, Ehime University. 2023. 25. 1-27
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Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya. Correction to: General theory of interpolation error estimates on anisotropic meshes. Japan Journal of Industrial and Applied Mathematics. 2023. 40. 2. 1355-1356
ｍore...
MISC (18)：
Books (2)：
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Computational Science and Engineering
2017
-
応用数理-基礎・モデリング・解法
培風館 2015 ISBN:4563011568
Lectures and oral presentations (93)：
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Continuity and differentiability of eigenvalues of Laplacian with respect to domain perturbations
(Numerical Methods for Sectral Problems: Theory and Applications 2024 2024)
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領域変動に伴う固有値の変分について
(対馬応用数学研究会 2024)
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A robust discontinuous Galerkin scheme on anisotropic meshes
(7th Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE2024) 2024)
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有限要素法の数学的基礎理論の最近の話題について
(日本応用数理学会 第15回 三部会連携「応用数理セミナー」 2023)
-
楕円型固有値問題のHadamard変分について
(環瀬戸内応用数理研究部会第27回シンポジウム 2023)
ｍore...
Education (3)：
- 1987 - 1990 University of Maryland Department of Applied Mathematics Doctor
- 1981 - 1983 Kyushu University Graduate School, Division of Natural Science Mathematics
- 1977 - 1981 Shinshu University Faculty of Science Department of Mathematics
Professional career (1)：
- Doctor of Philosphy (University of Maryland)
Work history (5)：
- 2023/04 - 現在 Osaka University
- 2006/04 - 2023/03 Ehime University Graduate School of Science and Engineering Professor
- 2004/02 - 2006/03 Ehime University Department of Mathematics, Faculty of Science Professor
- 1990/12 - 2004/01 Ehime University Department of Mathematics, Faculty of Science Associate Professor
- 1983/04 - 1990/11 Kyushu University Department of Mathematics, Faculty of Science assistant professor
Committee career (4)：
- 2019/07 - 2021/06 日本応用数理学会 理事
- 2004 - 2020/10 日本応用数理学会 研究部会「環瀬戸内応用数理研究部会」監事
- 2018/03 - 2020/02 日本数学会 評議員
- 2006/03 - 2008/03 日本応用数理学会 評議員
Awards (3)：
- 2023/03 - 愛媛大学 愛媛大学名誉教授
- 2017/06 - 日本応用数理学会 フェロー
- 2015/09 - 日本応用数理学会 日本応用数理学会論文賞 A Babuška-Aziz type proof of the circumradius condition
Association Membership(s) (2)：
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE MATHEMATICAL SOCIETY OF JAPAN
