EDDDGE EDDDGE

Event

Seminar・Research meetings・Other events

Seminar

5th Ito CREST ED3GE Seminar
Date
October 12th (Monday) 15:00 - 16:00
Venue
Online (Zoom)
Speaker
Wayne Rossman (Kobe University)
Title
Darboux Flow and Semi-Discrete mKdV Equation
Abstract
We connect smooth isoperimetric flows of discrete planar curves with (discrete) Darboux transformations of smooth planar curves, by switching the roles of the discrete and smooth parameters involved. In doing so, we define Darboux flows that include isoperimetric flows, and also give an alternate geometric interpretation for establishing the discrete potential mKdV equation.
1st Kyoto CREST ED3GE Lecture
Date
July 15th (Wednesday) 15:00 - 17:00
Venue
Online (Zoom)
Speaker
Masaaki Miki (The University of Tokyo)
Title
Interaction between discrete and smooth versions of Graphic Statics
Abstract
Recent years have observed a revival of Graphic Statics in structural mechanics. While its discrete version that can be used for trusses and grid shells is mainly discussed, its smooth version does exist at the same time. This lecture will go through the relation of discrete and smooth versions of Graphic Statics.
1st Kyoto CREST ED3GE Seminar (postponed)
This seminar has been postponed to October, 2020. The detailed information will be announced here.
Date
April 22th (Wednesday) 15:00 - 17:00
Venue
C2-102 Lecture room, Kyoto University Katsura Campus
Speaker
Seonho Cho (Seoul National University)
Title
Isogeometric optimal design of structures
Abstract
TBA
Speaker
Takuya Terahara (Waseda University)
Title
Space–time computational methods for high-fidelity heart valve flow analysis with leaflet contact
Abstract
TBA
4th Ito CREST ED3GE Seminar (postponed)
This seminar has been postponed because of COVID-19.
Date
March 25th (Wednesday) 14:30 - 15:30
Venue
C716 Seminar room, 7F C block, West No.1 Building, Kyushu University Ito Campus
Speaker
Yuika Kajihara (Graduate School of Informatics, Kyoto University)
Title
Variational proof of the existence of six types of periodic orbits in the planar circular three-body problem
Abstract
Though the n-body problem is non-integrable except for n=2, Chenciner and Montgomery showed the existence of the periodic orbit named figure-eight in the three-body problem with a variational approach in 2000. Their work has led to many results in this field. In this talk, we introduce famous results in the n-body problem and show the existence of six types of periodic orbits in the planar circular restricted three-body problem. Moreover, we spend the rest of time discussing open problems.
3rd Ito CREST ED3GE Seminar (cancelled)
This seminar has been cancelled because of COVID-19.
Date
March 12th (Thursday) 15:30 - 17:00
Venue
C716 Seminar room, 7F C block, West No.1 Building, Kyushu University Ito Campus
Speaker
James McCoy (The University of Newcastle, Australia)
Title
High order curvature flows of plane curves with generalised Neumann boundary conditions
Abstract
We consider the parabolic polyharmonic diffusion and $L^2$-gradient flows of the $m$-th arclength derivative of curvature for regular closed curves evolving with generalised Neumann boundary conditions. In the polyharmonic case, we prove that if the curvature of the initial curve is small in $L^2$, then the evolving curve converges exponentially in the $C^\infty$ topology to a straight horizontal line segment. The same behaviour is shown for the $L^2$-gradient flows provided the energy of the initial curve is sufficiently small. In each case the smallness conditions depend only on $m$. This is joint work with Glen Wheeler and Yuhan Wu.
2nd Ito CREST ED3GE Seminar
Date
January 30th (Thursday) 13:00 - 15:00
Venue
C716 Seminar room, 7F C block, West No.1 Building, Kyushu University Ito Campus
Speaker
Nozomu Matsuura (Kurume Institute of Technology)
Title
Explicit formula for planar discrete elasticae
Abstract
It is well known that an elastic curve is defined as a critical point of elastic energy and its curvature is given by elliptic functions. Furthermore, the position vector of an elastic curve can also be written in terms of elliptic functions, as Mumford (1994) demonstrated, for example. This is called the explicit formula for elastic curves. On the other hand, Bobenko and Suris (1999) proposed an integrable discrete model of elastic curves. In this talk, I will derive an explicit formula for discrete elastic curves in the Euclidean plane.
1st Ito CREST ED3GE Seminar
Date
October 31st (Thursday) 13:00 - 14:00
Venue
IMI Conference Room, 4F D block, West No.1 Building, Kyushu University Ito Campus
Speaker
Nozomu Matsuura (Kurume Institute of Technology)
Title
Discrete Curvatures of Discrete Surfaces
Abstract
Various definitions of discrete curvature for discrete surfaces have been proposed so far. In this talk, we introduce the discrete Gaussian curvature and the discrete mean curvature based on the Steiner’s formula from the standpoint of the discrete differential geometry. This talk is based on the paper by Tim Hoffmann et al (DOI:10.1093/imrn/rnw015).

Research meetings

JSIAM2020 Organized Session "Geometric Shape Generation"
Date
September 7th, 2020
Venue
Online (Zoom)
Abstract
  • Geometric Shape Generation (1) 9:10-10:30
    1. 同一のcreaseとcrease patternをもつ「紙の曲線折り」について(梅原雅顕(東京工業大学・情報理工学院),佐治健太郎(神戸大学・大学院理学研究科), 直川耕祐(広島工業大学・情報学部情報工学科),本田淳史(横浜国立大学・大学院工学研究院),山田光太郎(東京工業大学・理学院))
    2. Rulingの配置を考慮した三角形分割による曲線折りの近似形状形成(佐々木好祐(筑波大学),三谷純(筑波大学))
    3. rulingを考慮しない四角形メッシュ分割を用いた曲線折りを含む可展面モデル生成(野川成己(筑波大学システム情報工学研究科),三谷純(筑波大学システム情報系))
    4. 三角形のねじり折りを用いたホール問題の解法(山本陽平(筑波大学情報システム研究科),中里陸(筑波大学情報システム研究科),三谷純(筑波大学情報システム系))
  • Geometric Shape Generation (2) 10:40-12:00
    1. Spherical Kaleidocycles on 3-sphere(Park Hyeongki (Kyushu University), Jakub Rondomanski (Free University of Berlin), Kenji Kajiwara (IMI, Kyushu University), Polthier Konrad (Free University of Berlin))
    2. 剛体折紙の折線パターンの最適化と近似曲面形状生成法(早川健太郎(京都大学),大崎純(京都大学))
    3. 曲線折りを有する仮設建造物の提案 -剛体変位による形状決定法と剛性評価-(有村崇(鹿児島大学大学院理工学研究科工学専攻建築プログラム修士1年))
    4. 平面弾性曲線の等周変形の楕円テータ関数による明示公式の構成(重富尚太(九州大学大学院数理学府),梶原健司(九州大学マス・フォア・インダストリ研究所))
  • Geometric Shape Generation (3) 13:20-14:40
    1. カーネル法を用いたデータ点からの曲面の生成法(寒野善博(東京大学))
    2. グラフ曲面による形状表現を用いた連続体シェルの釣り合い形状設計法(堺雄亮(京都大学大学院工学研究科建築学専攻),大崎純(京都大学大学院工学研究科建築学専攻))
    3. Kirchhoffシェル要素を用いた初期曲げによる木質シェル構造の形状最適化(貞廣渉(鹿児島大学大学院理工学研究科工学専攻建築プログラム横須賀研究室))
    4. 測地線による木質グリッドシェル構造の幾何学的非線形解析 -NR法による釣り合い経路の追跡-(中島尚哉(鹿児島大学大学院理工学研究科工学専攻建築プログラム横須賀研究室))
  • Geometric Shape Generation (4) 14:50-16:10
    1. 離散Weierstrass型の表現公式(安本真士(大阪市立大学))
    2. クリスタライン変分問題に対するエネルギー極小解の一意性について(小磯深幸(九州大学マス・フォア・インダストリ研究所),奥田健斗(九州大学数理学府))
    3. 区分的に滑らかな非等方的平均曲率一定超曲面の不安定性について(軸丸芳揮(九州大学マス・フォア・インダストリ研究所),小磯深幸(九州大学マス・フォア・インダストリ研究所))
    4. 三浦の三角形(Miura's Triangle)(三浦憲二郎(静岡大学),Gobithaasan, R. U. (マレーシア大学トレンガヌ校),關根惟敏(静岡大学),臼杵深(静岡大学))
  • Geometric Shape Generation (5) 16:20-17:40
    産業利用のための特別なクラスの曲線・曲面 - 双方向循環型の形状設計プラットフォームに向けて【OS企画公演 80分】
    横須賀洋平(鹿児島大学),三谷純(筑波大学),梶原健司(九州大学),小磯深幸(九州大学),大崎純(京都大学), 鍛冶静雄(九州大学),前川卓(早稲田大学),三浦憲二郎(静岡大学)

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2019 JST CREST Research Area [Mathematical Information Platform] Project Kickoff
International Conference “Evolving Design and Discrete Differential Geometry —
towards Mathematics Aided Geometric Design”
Date
March 6 (Fri.) - March 8 (Sun.), 2020 [Postponement]
Venue
Room 01, Department of Architecture and Architectural Engineering No.2
Building, Korimoto Campus, Kagoshima University
1-21-24 Korimoto, Kagoshima 890-8580, Japan
Abstract
  • March 6th
    AIMaP Session “Fusion of Discrete Differential Geometry and Finite Element Method: Applications to Architecture and CG”
  • March 7th
    AIMaP Session “Fusion of Discrete Differential Geometry and Finite Element Method: Applications to Architecture and CG”
    CREST ED3GE Session
  • March 8th
    CREST ED3GE Session

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Other events

JST CREST “Evolving Design and Discrete Differential Geometry —
towards Mathematics Aided Geometric Design”
First strategy meeting in 2019
Date
2019.12.25(Wed.)15:00 - 12.27(Fri.)17:00
Venue
Katsura Campus, Kyoto University
Saikyo-ku, Kyoto 615-8530, Japan
*This is a private meeting only for project members.