Geodesic
Second order numerical scheme for motion of polygonal curves with constant area speed
Michal Beneš1 ; Masato Kimura2 ; Shigetoshi Yazaki3
1Charles University, Praha, Czech Republic
2Kanazawa University, Japan
3Meiji University, Kanagawa, Japan
Interfaces and free boundaries, Tome 11 (2009) no. 4, pp. 515-536

Voir la notice de l'article provenant de la source EMS Press

DOI

We study polygonal analogues of several moving boundary problems and their time discretization which preserves the constant area speed property. We establish various polygonal analogues of geometric formulas for moving boundaries and make use of the geometric formulas for our numerical scheme to analyse general constant area speed motion of polygons. Accuracy and efficiency of our numerical scheme are checked through numerical simulations for several polygonal motions such as motion by curvature and area-preserving advected flow etc.
DOI : 10.4171/ifb/221
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Motion of polygons, moving boundary problem, crystalline motion, crystalline curvature, motion by curvature, constant area speed motion, area-preserving numerical scheme, second order scheme

Michal Beneš  1   ; Masato Kimura  2   ; Shigetoshi Yazaki  3

1 Charles University, Praha, Czech Republic
2 Kanazawa University, Japan
3 Meiji University, Kanagawa, Japan 
Michal Beneš; Masato Kimura; Shigetoshi Yazaki. Second order numerical scheme for motion of polygonal curves with constant area speed. Interfaces and free boundaries, Tome 11 (2009) no. 4, pp. 515-536. doi: 10.4171/ifb/221
@article{10_4171_ifb_221,
     author = {Michal Bene\v{s} and Masato Kimura and Shigetoshi Yazaki},
     title = {Second order numerical scheme for motion of polygonal curves with constant area speed},
     journal = {Interfaces and free boundaries},
     pages = {515--536},
     year = {2009},
     volume = {11},
     number = {4},
     doi = {10.4171/ifb/221},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/221/}
}
TY  - JOUR
AU  - Michal Beneš
AU  - Masato Kimura
AU  - Shigetoshi Yazaki
TI  - Second order numerical scheme for motion of polygonal curves with constant area speed
JO  - Interfaces and free boundaries
PY  - 2009
SP  - 515
EP  - 536
VL  - 11
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/221/
DO  - 10.4171/ifb/221
ID  - 10_4171_ifb_221
ER  - 
%0 Journal Article
%A Michal Beneš
%A Masato Kimura
%A Shigetoshi Yazaki
%T Second order numerical scheme for motion of polygonal curves with constant area speed
%J Interfaces and free boundaries
%D 2009
%P 515-536
%V 11
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/221/
%R 10.4171/ifb/221
%F 10_4171_ifb_221

Cité par Sources :