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

Tetsuya Ishiwata, Shigetoshi Yazaki

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)122-135
Number of pages14
JournalComputer Methods in Materials Science
Volume17
Issue number2
Publication statusPublished - 2017 Jan 1

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Crystalline materials

Keywords

  • Accurate numerical computation
  • Area-preserving crystalline curvature flow
  • Convexification
  • Iteration
  • Negative crystal
  • Structure-preserving

ASJC Scopus subject areas

  • Computer Science Applications
  • Materials Science(all)

Cite this

Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow. / Ishiwata, Tetsuya; Yazaki, Shigetoshi.

In: Computer Methods in Materials Science, Vol. 17, No. 2, 01.01.2017, p. 122-135.

Research output: Contribution to journalArticle

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