Second order numerical scheme for motion of polygonal curves with constant area speed
نویسندگان
چکیده
منابع مشابه
Second order numerical scheme for motion of polygonal curves with constant area speed
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 sch...
متن کامل2 9 M ay 2 00 8 Second order numerical scheme for motion of polygonal curves with constant area speed ∗
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 o...
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The first purpose of this paper is to propose a formulation of general area-preserving motion of polygonal curves by using a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to admissible class used in the so-called crystalline curvature flow. Actually, if the initial curve is a convex polygon, then our polygonal flow is nothing but the crystall...
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ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2009
ISSN: 1463-9963
DOI: 10.4171/ifb/221