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Daisuke TAGAMI Last modified date:2018.06.22



Graduate School
Other Organization


E-Mail
Homepage
http://www2.imi.kyushu-u.ac.jp/~tagami/
Phone
092-802-4447
Fax
092-802-4447
Academic Degree
Doctor of Mathematical Science
Field of Specialization
Numerical Analysis, Computational Mechanics
Outline Activities
My research fields are the applied mathematics and the computationl mechanics: the development, the error analysis, and the application of numerical schemes. Specifically, I research on the following: i) numerical analysis of particle methods; ii) developments of highly efficient numerical methods for large scale computational models of electromagnetic field problems; iii) numerical analysis of the viscoelastic flow problems; iv) numerical analysis of the moving boundary problems; v) numerical analysis of the Navier-Stokes equations and its application to the drag and the lift; vi) numerical analysis of the thermal convection problems and its application to the glass melting problems.
Research
Research Interests
  • Numerical Analysis of Particle Based Methods
    keyword : Particle Based Methods, Error Analysis
    2011.04Numerical analysis of thermal convection problems and its application to the glass melting furnaces..
  • Numerical Analysis of Electromagnetic Field Problems by Domain Decomposition Methods
    keyword : Electromagnetic Field Problems, Domain Decomposition Methods, Finite Element Methods, Error Analysis
    1999.04Numerical analysis of thermal convection problems and its application to the glass melting furnaces..
  • Numerical Analysis of Viscoelastic Flow Problems
    keyword : Viscoelastic Flow Problem, Finite Element Method, Error Analysis
    2009.04Numerical analysis of thermal convection problems and its application to the glass melting furnaces..
  • Numerical Analysis of Thermal Convection Problems and its Application to Glass Melting Furnaces
    keyword : Thermal Convection Problem, Finite Element Method, Error Analysis, Glass Melting Furnace
    2002.03Numerical analysis of thermal convection problems and its application to the glass melting furnaces..
  • Numerical Analysis of Navier-Stokes Equations and its Application to Numerical Computations of Drag and Lift
    keyword : Navier-Stokes Equation, Finite Element Method, Error Analysis, Drag and Lift
    1997.07Numerical analysis of Navier-Stokes equations and its application to the drag and the lift..
  • Numerical Analysis of Moving Boundary Problems
    keyword : Moving Boundary Problem, Error Analysis
    1994.04Numerical analysis of moving boundary problems.
  • Numerical Analysis of Interference/Scattering Problems
    keyword : Maxwell Equation, Helmholtz Equation, Finite Element Method, DtN Map, Error Analysis, Holography
    2007.04Numerical analysis of Maxwell and Helmholtz equations and its application to the holography..
Academic Activities
Papers
1. IMOTO, Yusuke, TAGAMI, Daisuke, Truncation error estimates of approximate differential operators of a particle method based on the Voronoi decomposition, JSIAM Letters, 10.14495/jsiaml.9.69, 9, 69-72, 2017.10.
2. IMOTO, Yusuke, TAGAMI, Daisuke, A truncation error estimate of the interpolant of a particle method based on the Voronoi decomposition, JSIAM Letters, 10.14495/jsiaml.8.29, 8, 29-32, 2016.02.
3. TAGAMI, Daisuke and TABATA, Masahisa, Numerical computations of a melting glass convection in the furnace, Proceedings of The Seventh China-Japan Seminar on Numerical Mathematics, 149-160, 2006.12.
4. TABATA, Masahisa and TAGAMI, Daisuke, Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients, Numerische Mathematik, 10.1007/s00211-005-0589-2, 100, 2, 351-372, 2005.04.
5. TAGAMI, Daisuke and ITOH, Hajime, A finite element analysis of thermal convection problems with the Joule heat, Japan Journal of Industrial and Applied Mathematics, 20, 2, 193-210, 2003.06.
6. TABATA, Masahisa and TAGAMI, Daisuke, Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows, Japan Journal of Industrial and Applied Mathematics, 17, 3, 371-389, 2000.10.
7. TABATA, Masahisa and TAGAMI, Daisuke, A finite element analysis of a linearized problem of the Navier-Stokes equations with surface tension, SIAM Journal on Numerical Analysis, 10.1137/S0036142997329098, 38, 1, 40-57, 2000.06.
Works, Software and Database
1. We have been developing an open source system software, ADVENTURE, which is a general-purpose parallel finite element analysis system and can simulate a large scale analysis model with supercomputer like the Earth Simulator or K-computer. In the system, HDDM (hierarchical domain decomposition method), which is a very effective technique to large-scale analysis, was developed. The aim of this project is to develop a numerical library based on HDDM that is extended to pre and post processing parts, including mesh generation and visualization of large scale data, for the Post Petascale simulation.
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Presentations
1. TAGAMI, Daisuke, Error estimates of a generalized particle-based method for elliptic boundary value problems, European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015), 2015.09.
2. TAGAMI, Daisuke, Finite element analysis of viscoelastic flow problems with application incorporating the Oldroyd-B model, IMI–La Trobe Joint Conference: Mathematics for Materials Science and Processing, 2016.02.
3. TAGAMI, Daisuke, Some investigations into finite element methods for viscoelastic flow problems governed by Oldroyd-B models, Mathematical Analysis of Continuum Mechanics and Industrial Applications, 2015.11.
4. TAGAMI, Daisuke, Some investigations of a generalized particle method for convection-diffusion equations, VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016.06, A generalized particle method is considered for convection-diffusion equations. In Imoto--Tagami (2015), the generalized particle method has been introduced as a class of particle methods, which can describes Smoothed Particle Hydrodynamics (SPH), Moving Particle Semi-implicit (MPS), and others, and the truncation error estimate has been established. Moreover, in Imoto--Tagami (2015), error estimates of the generalized particle method for the Poisson equation and the heat equation have been established. Our goal is to establish of mathematical frameworks of particle methods, and this paper is regarded as the next step toward our goal. At this step, the particle motions is considered, which play a key role in practical computational fluid dynamics with particle methods. In general, the particle motions cause particle distributions unevenness and numerical schemes instability. To overcome this difficulties, the Lagrange--Galerkin characteristic starategy (see, for example, Pironneau (1980) and Notsu--Tabata (2015)), is introduced into numerical schemes. The Lagrange--Galerkin characteristic starategy does not require particle redistributions in our numerical scheme and solves numerical instabilities of the scheme. Some mathematical and numerical investigations are shown to confirm the effectiveness of our strategy..
5. TAGAMI, Daisuke, Numerical analysis of a generalized particle-based method for convection-diffusion equations and its application, European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2017), 2017.09.
6. TAGAMI, Daisuke, Mathematical analysis of characteristic generalized particle methods for convection-diffusion equations, The 12th International SPHERIC Workshop, 2017.06.
7. TAGAMI, Daisuke, A reduced iterative domain decomposition method for magnetic field problems with the gauge condition, KAUST Workshop on Computational Science and Engineering with High Performance Computers, 2017.05, An iterative Domain Decomposition Method (DDM) is appliedinto a mixed formulation of magnetic field problems, magnetostatic problems or eddy current problems, with the gauge condition. In case of the conventional one domain problems, magneticfield problems are often formulated by neglecting the gaugeconditions. However, when the formulation without any gaugeconditions was applied into iterative DDMs, iterativeprocedures diverge in case of large scale computationalmodels whose numbers of degrees of freedom (DOF) are largerthan 10^7. To overcome difficulties mentioned above, a gauge conditionis introduced via the Lagrange multiplier and magnetic fieldproblems are formulated by mixed variational problems. Moreover, an efficient reduced iterative procedure isestablished by means of the property of the Lagrangemultiplier that vanishes in the whole domain. Finally, some numerical results are shown in case ofultra-large computational models whose numbers of DOF are10^7--10^9..
8. TAGAMI, Daisuke, An application of characteristic methods into a generalized particle method for convection-diffusion equations, Mathematical Analysis of Continuum Mechanics and Industrial Applications, 2016.10.
9. TAGAMI, Daisuke, Some remarks on a time-explicit particle methods for flow problems, ANZIAM Conference 2018, 2018.02, We have recently obtained error estimates of a generalized particle method for convection-diffusion problems, and have now continued to estimate it for the incompressible Navier--Stokes equations. When introducing an implicit scheme in time based on the predictor-corrector strategy to particle methods for the incompressible Navier--Stokes equations, we need to solve the pressure Poisson equation at each time step. However, the pressure Poisson equation causes the increasing of computational costs, especially in case of huge computational models appearing in High-Performance Computing (HPC) fields.Therefore, many researchers in HPC fields introduce explicit schemes in time based on an equation of state of gas. In this talk, we regard one of such explicit schemes as a perturbation problem derived from the compressible Navier--Stokes equations, and give some remarks on the relations between them and the incompressible Navier--Stokes equations. Moreover, we show some numerical results by using a time-explicit particle methods for the incompressible Navier--Stokes equations..
10. TAGAMI, Daisuke, Numerical analysis of a characteristic particle method for convection-diffusion equations, The 2016 Geometric Numerical Integration and its Applications, 2016.12, We present error estimates of a generalzied particle method for convection-diffusion equations. We also show some numerical results, which agree with theoretical ones..
Membership in Academic Society
  • International. Association of Computational Mechanics
  • International Compumag Society
  • The Japan Society of Industrial Mathematics
  • The Japan Society for Computational Engineering and Science
  • The Japan Society of Fluid Mechanics
  • Mathematical Society of Japan
  • Japan Society Mechanical Engineering
Educational
Other Educational Activities
  • 2009.12.
  • 2008.03.
  • 2007.03.
  • 2006.03.
  • 2005.03.
Social
Professional and Outreach Activities
Pusan National University, 2012AY, 2nd Semester, Joint Lecture with Kyushu University, Lecturer.