29 citations · 113 across the 18 of their papers we have counts for
6 papers · 1 filter
Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit
Michal Benes, Miroslav Kolar, Jan M. Sischka +1
We consider formal matched asymptotics to show the convergence of a degenerate area preserving surface Allen-Cahn equation to its sharp interface limit of area preserving geodesic…
Convergence of the Finite Volume Method on Unstructured Meshes for a 3D Phase Field Model of Solidification
Aleš Wodecki, Pavel Strachota, Michal Beneš
We present a convergence result for the finite volume method applied to a particular phase field problem suitable for simulation of pure substance solidification. The model consist…
Computational studies of conserved mean-curvature flow
Miroslav Kolar, Michal Benes, Daniel Sevcovic
The paper presents the results of numerical solution of the evolution law for the constrained mean-curvature flow. This law originates in the theory of phase transitions for crysta…
Analytical and numerical aspects on motion of polygonal curves with constant area speed
Michal Benes, Masato Kimura, Shigetoshi Yazaki
General area-preserving motion of polygonal curves is formulated as a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to the admi…
Application of a curvature adjusted method in image segmentation
M. Benes, M. Kimura, P. Paus +3
This article deals with flow of plane curves driven by the curvature and external force. We make use of such a geometric flow for the purpose of image segmentation. A parametric mo…
Comparison study for Level set and Direct Lagrangian methods for computing Willmore flow of closed planar curves
Michal Benes, Karol Mikula, Tomas Oberhuber +1
The main goal of this paper is to present results of comparison study for the level set and direct Lagrangian methods for computing evolution of the Willmore flow of embedded plana…