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 language | English |
|---|---|
| Pages (from-to) | 122-135 |
| Number of pages | 14 |
| Journal | Computer Methods in Materials Science |
| Volume | 17 |
| Issue number | 2 |
| Publication status | Published - 2017 Jan 1 |
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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 journal › Article
}
TY - JOUR
T1 - Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow
AU - Ishiwata, Tetsuya
AU - Yazaki, Shigetoshi
PY - 2017/1/1
Y1 - 2017/1/1
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.
AB - 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.
KW - Accurate numerical computation
KW - Area-preserving crystalline curvature flow
KW - Convexification
KW - Iteration
KW - Negative crystal
KW - Structure-preserving
UR - http://www.scopus.com/inward/record.url?scp=85043363726&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85043363726&partnerID=8YFLogxK
M3 - Article
VL - 17
SP - 122
EP - 135
JO - Computer Methods in Materials Science
JF - Computer Methods in Materials Science
SN - 1641-8581
IS - 2
ER -