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Numerical Analysis Seminar
Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
| Date, time & place | Tuesday 16:30 - 18:00 002Room #002 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Norikazu Saito, Takahito Kashiwabara |
Seminar information archive
2014/06/09
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Issei Oikawa (Waseda University)
A hybridized discontinuous Galerkin method with weak stabilization (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Issei Oikawa (Waseda University)
A hybridized discontinuous Galerkin method with weak stabilization (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2014/05/12
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Chien-Hong Cho (National Chung Cheng University)
On the finite difference approximation for blow-up solutions of the nonlinear wave equation (JAPANESE)
http://www.infsup.jp/utnas/
Chien-Hong Cho (National Chung Cheng University)
On the finite difference approximation for blow-up solutions of the nonlinear wave equation (JAPANESE)
[ Abstract ]
We consider in this paper the 1-dim nonlinear wave equation $u_{tt}=u_{xx}+u^{1+\\alpha}$ $(\\alpha > 0)$ and its finite difference analogue. It is known that the solutions of the current equation becomes unbounded in finite time, a phenomenon which is often called blow-up. Numerical approaches on such kind of problems are widely investigated in the last decade. However, those results are mainly about parabolic blow-up problems. Compared with the parabolic ones, there is a remarkable property for the solution of the nonlinear wave equation -- the existence of the blow-up curve. That is, even though the solution has become unbounded at certain points, the solution continues to exist at other points and blows up at later times. We are concerned in this paper as to how a finite difference scheme can reproduce such a phenomenon.
[ Reference URL ]We consider in this paper the 1-dim nonlinear wave equation $u_{tt}=u_{xx}+u^{1+\\alpha}$ $(\\alpha > 0)$ and its finite difference analogue. It is known that the solutions of the current equation becomes unbounded in finite time, a phenomenon which is often called blow-up. Numerical approaches on such kind of problems are widely investigated in the last decade. However, those results are mainly about parabolic blow-up problems. Compared with the parabolic ones, there is a remarkable property for the solution of the nonlinear wave equation -- the existence of the blow-up curve. That is, even though the solution has become unbounded at certain points, the solution continues to exist at other points and blows up at later times. We are concerned in this paper as to how a finite difference scheme can reproduce such a phenomenon.
http://www.infsup.jp/utnas/
2014/04/21
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Takashi Nakazawa (Tohoku University)
Shape optimization problems for time-periodic solutions of the Navier-Stokes equations (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Takashi Nakazawa (Tohoku University)
Shape optimization problems for time-periodic solutions of the Navier-Stokes equations (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2014/02/13
16:00-17:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Mitchell Luskin (University of Minnesota)
Numerical analysis of atomistic-to-continuum coupling methods (ENGLISH)
http://www.infsup.jp/utnas/
Mitchell Luskin (University of Minnesota)
Numerical analysis of atomistic-to-continuum coupling methods (ENGLISH)
[ Abstract ]
The building blocks of micromechanics are the nucleation and movement of point, line, and surface defects and their long-range elastic interactions. Computational micromechanics has begun to extend the predictive scope of theoretical micromechanics, but mathematical theory able to assess the accuracy and efficiency of multiscale methods is needed for computational micromechanics to reach its full potential.
Many materials problems require the accuracy of atomistic modeling in small regions, such as the neighborhood of a crack tip. However, these localized defects typically interact through long range elastic fields with a much larger region that cannot be computed atomistically. Materials scientists have proposed many methods to compute solutions to these multiscale problems by coupling atomistic models near a localized defect with continuum models where the deformation is nearly uniform on the atomistic scale. During the past several years, a mathematical structure has been given to the description and formulation of atomistic-to-continuum coupling methods, and corresponding numerical analysis and benchmark computational experiments have clarified the relation between the various methods and their sources of error. Our numerical analysis has enabled the development of more accurate and efficient coupling methods.
[ Reference URL ]The building blocks of micromechanics are the nucleation and movement of point, line, and surface defects and their long-range elastic interactions. Computational micromechanics has begun to extend the predictive scope of theoretical micromechanics, but mathematical theory able to assess the accuracy and efficiency of multiscale methods is needed for computational micromechanics to reach its full potential.
Many materials problems require the accuracy of atomistic modeling in small regions, such as the neighborhood of a crack tip. However, these localized defects typically interact through long range elastic fields with a much larger region that cannot be computed atomistically. Materials scientists have proposed many methods to compute solutions to these multiscale problems by coupling atomistic models near a localized defect with continuum models where the deformation is nearly uniform on the atomistic scale. During the past several years, a mathematical structure has been given to the description and formulation of atomistic-to-continuum coupling methods, and corresponding numerical analysis and benchmark computational experiments have clarified the relation between the various methods and their sources of error. Our numerical analysis has enabled the development of more accurate and efficient coupling methods.
http://www.infsup.jp/utnas/
2014/01/28
16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Hideki Murakawa (Kyushu University)
Mathematical models of cell-cell adhesion (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Hideki Murakawa (Kyushu University)
Mathematical models of cell-cell adhesion (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/11/12
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Takahito Kashiwabara (The University of Tokyo)
Numerical analysis of friction-type boundary value problems by "method of numerical integration" (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Takahito Kashiwabara (The University of Tokyo)
Numerical analysis of friction-type boundary value problems by "method of numerical integration" (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/10/29
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Sei-ichiro Nagoya (ARK Information Systems)
Development of multi-dimensional compact difference formulas with the aid of formula manipulation software (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Sei-ichiro Nagoya (ARK Information Systems)
Development of multi-dimensional compact difference formulas with the aid of formula manipulation software (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/07/23
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Akira Sasamoto (National Institute of Advanced Industrial Science and Technology)
Boundary Integral Equation Method for several Laplace equations with crack(s) (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Akira Sasamoto (National Institute of Advanced Industrial Science and Technology)
Boundary Integral Equation Method for several Laplace equations with crack(s) (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/07/16
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Karel Svadlenka (Kanazawa University)
Numerical computation of motion of interface networks (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Karel Svadlenka (Kanazawa University)
Numerical computation of motion of interface networks (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/07/02
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Masaru Miyashita (Sumitomo Heavy Industries, Ltd.)
Numerical plasma simulation for reactive plasma deposition (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Masaru Miyashita (Sumitomo Heavy Industries, Ltd.)
Numerical plasma simulation for reactive plasma deposition (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/06/25
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Teruya Minamoto (Saga University)
Digital watermarking methods using the wavelet transforms and interval arithmetic (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Teruya Minamoto (Saga University)
Digital watermarking methods using the wavelet transforms and interval arithmetic (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/06/04
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Takaharu Yaguchi (Kobe University )
On the theories of discrete differential forms and their applications to structure-preserving numerical methods (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Takaharu Yaguchi (Kobe University )
On the theories of discrete differential forms and their applications to structure-preserving numerical methods (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/05/07
16:30-18:00 Room #123 (Graduate School of Math. Sci. Bldg.)
Takuya Tsuchiya (Ehime University)
Open problems on finite element analysis (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Takuya Tsuchiya (Ehime University)
Open problems on finite element analysis (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/04/23
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Hirofumi Notsu (Waseda Institute for Advanced Study)
Pressure-stabilized characteristics finite element schemes for flow problems (JAPANESE)
[ Reference URL ]
http://www.infsup.jp
Hirofumi Notsu (Waseda Institute for Advanced Study)
Pressure-stabilized characteristics finite element schemes for flow problems (JAPANESE)
[ Reference URL ]
http://www.infsup.jp
2013/03/15
10:00-12:15 Room #056 (Graduate School of Math. Sci. Bldg.)
Irene Vignon-Clementel (INRIA Paris Rocquencourt )
Complex flow at the boundaries of branched models: numerical aspects (ENGLISH)
[ Reference URL ]
http://www.infsup.jp/utnas/
Irene Vignon-Clementel (INRIA Paris Rocquencourt )
Complex flow at the boundaries of branched models: numerical aspects (ENGLISH)
[ Reference URL ]
http://www.infsup.jp/utnas/
2013/01/15
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Kaname Matsue (Tohoku University)
On the rigorous numerical verification of saddle-saddle connections (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Kaname Matsue (Tohoku University)
On the rigorous numerical verification of saddle-saddle connections (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/12/04
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Hiroshi Kanayama (Kyushu University)
Tsunami simulation of Hakata Bay using the viscous shallow-water equations (JAPANESE)
http://www.infsup.jp/utnas/
Hiroshi Kanayama (Kyushu University)
Tsunami simulation of Hakata Bay using the viscous shallow-water equations (JAPANESE)
[ Abstract ]
The tsunami caused by the great East Japan earthquake gave serious damage in the coastal areas of the Tohoku district. Numerical simulation is used for damage prediction as disaster measures to these tsunami hazards. Generally in the numerical simulation about the tsunami propagation to the coast from an open sea, shallow-water equations are used. This research focuses on viscous shallow-water equations and attempts to generate a computational method using finite element techniques based on the previous investigations of Kanayama and Ohtsuka (1978). First, the viscous shallow-water equation system is derived from the Navier-Stokes equations, based on the assumption of hydrostatic pressure in the direction of gravity. Next the numerical scheme is shown. Then, tsunami simulations of Hakata Bay and Tohoku-Oki are shown using the approach. Finally, a stability condition in L2 sense for the numerical scheme of a linearized viscous shallow-water problem is introduced from Kanayama and Ushijima (1988-1989) and its actual effectiveness is discussed from the view point of practical computation. This presentation will be done in Japanese.
[ Reference URL ]The tsunami caused by the great East Japan earthquake gave serious damage in the coastal areas of the Tohoku district. Numerical simulation is used for damage prediction as disaster measures to these tsunami hazards. Generally in the numerical simulation about the tsunami propagation to the coast from an open sea, shallow-water equations are used. This research focuses on viscous shallow-water equations and attempts to generate a computational method using finite element techniques based on the previous investigations of Kanayama and Ohtsuka (1978). First, the viscous shallow-water equation system is derived from the Navier-Stokes equations, based on the assumption of hydrostatic pressure in the direction of gravity. Next the numerical scheme is shown. Then, tsunami simulations of Hakata Bay and Tohoku-Oki are shown using the approach. Finally, a stability condition in L2 sense for the numerical scheme of a linearized viscous shallow-water problem is introduced from Kanayama and Ushijima (1988-1989) and its actual effectiveness is discussed from the view point of practical computation. This presentation will be done in Japanese.
http://www.infsup.jp/utnas/
2012/10/30
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Tadashi Kawanago (Tokyo Institute of Technology)
Error analysis of Galerkin's method for semilinear partial differential equations (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Tadashi Kawanago (Tokyo Institute of Technology)
Error analysis of Galerkin's method for semilinear partial differential equations (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/10/09
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Takuma Kimura (Waseda University)
On the numerical verification method for parabolic problems (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Takuma Kimura (Waseda University)
On the numerical verification method for parabolic problems (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/06/19
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Hidenori Ogata (The University of Electro-Communications)
Advances in the charge simulation method (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Hidenori Ogata (The University of Electro-Communications)
Advances in the charge simulation method (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/05/22
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Daisuke Koyama (The University of Electro-Communications)
The DtN finite element method and the Schwarz method for multiple scattering problems (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Daisuke Koyama (The University of Electro-Communications)
The DtN finite element method and the Schwarz method for multiple scattering problems (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/05/08
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Motofumi Hattori (Kanagawa Institute of Technology )
Pressure Oscillation Problem of MPS time evolution scheme for incompressible Navier-Stokes equation (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Motofumi Hattori (Kanagawa Institute of Technology )
Pressure Oscillation Problem of MPS time evolution scheme for incompressible Navier-Stokes equation (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/04/24
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Hideaki Ishikawa (Semiconductor Leading Edge Technologies, Inc.)
Quantum mechanics and numerical analysis (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Hideaki Ishikawa (Semiconductor Leading Edge Technologies, Inc.)
Quantum mechanics and numerical analysis (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/01/24
16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Takeshi Takaishi (Hiroshima Kokusai Gakuin University)
Phasefield model for crack simulation and its application (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Takeshi Takaishi (Hiroshima Kokusai Gakuin University)
Phasefield model for crack simulation and its application (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
2012/01/17
17:00-18:00 Room #123 (Graduate School of Math. Sci. Bldg.)
Daisuke Tagami (Kyushu University)
Numerical computations of flow problems with the moving boundary by an area-preserving scheme (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
Daisuke Tagami (Kyushu University)
Numerical computations of flow problems with the moving boundary by an area-preserving scheme (JAPANESE)
[ Reference URL ]
http://www.infsup.jp/utnas/
