Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow

Tetsuya Ishiwata, Shigetoshi Yazaki

研究成果: Article

抄録

The presented numerical scheme preserves variational structure of a generalized area-preserving crystalline curvature flow. The scheme is based on an iteration and a projection method. Several numerical examples will verify that the enclosed area is preserved in numerical computation with high accuracy in the sense of double precision. Numerical computations realize theoretical convexification results starting from almost convex polygon, and are extended to a general setting starting from nonconvex polygon.

元の言語English
ページ(範囲)122-135
ページ数14
ジャーナルComputer Methods in Materials Science
17
発行部数2
出版物ステータスPublished - 2017 1 1

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Crystalline materials

ASJC Scopus subject areas

  • Computer Science Applications
  • Materials Science(all)

これを引用

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N2 - The presented numerical scheme preserves variational structure of a generalized area-preserving crystalline curvature flow. The scheme is based on an iteration and a projection method. Several numerical examples will verify that the enclosed area is preserved in numerical computation with high accuracy in the sense of double precision. Numerical computations realize theoretical convexification results starting from almost convex polygon, and are extended to a general setting starting from nonconvex polygon.

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KW - Iteration

KW - Negative crystal

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