3 papers
math.AT2026
A discrete wedge product on general polygonal meshes
Lenka Ptackova
Discrete exterior calculus offers a coordinate--free discretization of exterior calculus especially suited for computations on meshes over curved manifolds. The discretization of t…
math.NA2026
Domain Decomposition for Mean Curvature Flow of Surface Polygonal Meshes
Lenka Ptackova, Michal Outrata
We examine the use of domain decomposition for potentially more efficient mean curvature flow of surface meshes, whose faces are arbitrary simple polygons. We first test traditiona…
math.NA2024
Bézier curves and the Takagi function
Lenka Ptackova, Franco Vivaldi
We consider Bézier curves with complex parameters, and we determine explicitly the affine iterated function system (IFS) corresponding to the de Casteljau subdivision algorithm, t…