Second order numerical scheme for motion of polygonal curves with constant area speed
Numerical Analysis
2008-05-30 v1 Differential Geometry
Abstract
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 and its analysis of 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.
Cite
@article{arxiv.0805.4469,
title = {Second order numerical scheme for motion of polygonal curves with constant area speed},
author = {M. Benes and M. Kimura and S. Yazaki},
journal= {arXiv preprint arXiv:0805.4469},
year = {2008}
}
Comments
25 pages, 8 figures, 2 tables, 17 references