TSUCHIYA Takuya

J-GLOBAL         Last updated: Oct 1, 2019 at 15:09
 
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Name
TSUCHIYA Takuya
Affiliation
Ehime University
Section
Graduate School of Science and Engineering Mathematics,Physics,and Earth Sciences
Job title
Professor
Degree
Doctor of Philosphy(University of Maryland)
Research funding number
00163832
ORCID ID
0000-0002-0005-1663

Research Areas

 
 

Academic & Professional Experience

 
Apr 2006
   
 
Professor, Graduate School of Science and Engineering, Ehime University
 
Feb 2004
 - 
Mar 2006
Professor, Department of Mathematics, Faculty of Science, Ehime University
 
Dec 1990
 - 
Jan 2004
Associate Professor, Department of Mathematics, Faculty of Science, Ehime University
 
Apr 1983
 - 
Nov 1990
assistant professor, Department of Mathematics, Faculty of Science, Kyushu University
 

Education

 
Sep 1987
 - 
Dec 1990
Doctor, Department of Applied Mathematics, University of Maryland
 
Apr 1981
 - 
Mar 1983
Mathematics, Graduate School, Division of Natural Science, Kyushu University
 
Apr 1977
 - 
Mar 1981
Department of Mathematics, Faculty of Science, Shinshu University
 

Committee Memberships

 
2006
   
 
The Japan Society for Industorila and Applied Mathmematics  Representative member
 
2004
   
 
The Japan Society for Industorila and Applied Mathmematics  Scecretary of Kan-Setouchi-Kenkyubukai
 

Published Papers

 
Kenta Kobayashi, Takuya Tsuchiya
Journal of Approximation Theory      Dec 2019   [Refereed]
Kobayashi Kenta, Tsuchiya Takuya
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS   35(3) 1191-1211   Nov 2018   [Refereed]
Grodet Aymeric, Tsuchiya Takuya
Japan Journal of Industrial and Applied Mathematics   35(2) 707-725   Jul 2018   [Refereed]
Kenta Kobayashi, Takuya Tsuchiya
Japan Journal of Industrial and Applied Mathematics   34 509-530   Aug 2017   [Refereed]
© 2017, The JJIAM Publishing Committee and Springer Japan KK. We consider surface area approximations by Lagrange and Crouzeix-Raviart interpolations on triangulations. For Lagrange interpolation, we give an alternative proof for Young’s classical...
Takashi Suzuki, Takuya Tsuchiya
Journal of the Mathematical Society of Japan   68(4) 1389-1419   Oct 2016   [Refereed]
The Green function of the Laplacian with the homogeneous Dirichlet boundary condition on bounded domains is considered. The variation of the Green function with respect to domain perturbations is called the Hadamard variation. In this paper, we pr...

Misc

 
小林健太, 土屋卓也
応用数理   28(1) 18‐25   Mar 2018
Aymeric Grodet, Takuya Tsuchiya
   Nov 2015
We describe a technique to improve Smith's branch-and-bound algorithm for the
Euclidean Steiner tree problem in Rd. The algorithm relies on the enumeration
and optimization of full Steiner topologies for corresponding subsets of
regular points. We...
OTHMAN Nuha Loling, SUZUKI Takashi, TSUCHIYA Takuya
RIMS Kokyuroku   1733 127-141   Mar 2011
Nuha Loling Othman, Takashi Suzuki, Takuya Tsuchiya
International Conference on Mathematical and Computational Methods in Science and Engineering - Proceedings   114-121   Dec 2010
Suppose that we deal with quantities defined on a domain. If the domain is perturbed, the quantities are also perturbed. Such a variation with respect to domain perturbation is called Hadamard's variation. In this paper, the authors present an ite...
SUZUKI TAKASHI, TSUCHIYA TAKUYA
応用数理   15(1) 16-31   Mar 2005
In this paper, we present a scheme of convergence analysis of trial free boundary methods for the two-dimensional filtration (or dam) problem. For the purpose we present a new variational principle of the filtration problem. This variational princ...

Books etc

 
Computational Science and Engineering
TSUCHIYA Takuya (Part:Joint Translation)
Jan 2017   

Conference Activities & Talks

 
Error estimation of Lagrange interpolation without the shape-regularity assumption
2 Mar 2019   
Hadamard variational fomulae and its applications for iterative numerical schemes
TSUCHIYA Takuya
ANZIAM Conference 2019   7 Feb 2019   
Error analysis of Crouzeix–Raviart and Raviart–Thomas finite element methods
TSUCHIYA Takuya
Seto-Inland-Sea-Rim Workshop on Mathematical Sciences   26 Jun 2018   
Error analysis of Raviart-Thomas and Crouzeix-Raviart finite element methods
TSUCHIYA Takuya
8 Jun 2018   
Error analysis of Lagrange interpolations on tetrahedrons
TSUCHIYA Takuya
International Workshop on Numerical Methods for Partial Differential Equations   28 Mar 2018   

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2010 - 2012    Investigator(s): Takuya TSUCHIYA
We have found “the circumradius condition” for linear interpolation on triangular elements. We proved it without using validated numerical computation. We then found that the circumradius condition is closely related to the definition of surface a...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2007 - 2009    Investigator(s): Takuya TSUCHIYA
Suppose that we are interested in an elliptic boundary value problem defined on a bounded domain. In this research, we consider effects of perturbation of the domain to the solution of the boundary value problem. In particular, we have established...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2005 - 2006    Investigator(s): Takuya TSUCHIYA
1. We have studied on the free boundary problem called the filtration problem or the dam problem. In any cases, some level-set approaches are taken to analyze the dam problem theoretically. However, to compute the numerical solutions, iterative sc...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2002 - 2003    Investigator(s): Takuya TSUCHIYA
In this research project, we have tried to develop a mathematical theory of error analysis of finite element methods, and have obtained the following results.(1)We have consider on error analysis of Galerkin methods applied to (non-) linear equati...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2000 - 2001    Investigator(s): Takuya TSUCHIYA
In this research project, we have tried to develop an error analysis of Ritz finite element methods, and have obtained the following results.We have considered finite element approximations of conformal mappings from the unit disk to Jordan domain...