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

Tetsuya Ishiwata, Shigetoshi Yazaki

研究成果: Article査読

1 被引用数 (Scopus)

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.

本文言語English
ページ(範囲)122-135
ページ数14
ジャーナルComputer Methods in Materials Science
17
2
出版ステータスPublished - 2017

ASJC Scopus subject areas

  • Materials Science(all)
  • Computer Science Applications

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