4 citations · 7 across the 6 of their papers we have counts for
12 papers
On an elastic flow for parametrized curves in suitable for numerical purposes
Paola Pozzi
In arXiv:2205.02920 a variant of the classical elastic flow for closed curves in was introduced, that is more suitable for numerical purposes. Here we investigate…
Convergence of a scheme for elastic flow with tangential mesh movement
Paola Pozzi, Björn Stinner
Elastic flow for closed curves can involve significant deformations. Mesh-based approximation schemes require tangentially redistributing vertices for long-time computations. We pr…
Anisotropic curvature flow of immersed networks
Heiko Kroener, Matteo Novaga, Paola Pozzi
We consider motion by anisotropic curvature of a network of three curves immersed in the plane meeting at a triple junction and with the other ends fixed. We show existence, unique…
Elastic flow of networks: short-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
In this paper we study the -gradient flow of the penalized elastic energy on networks of -curves in for . Each curve is fixed at one end-point and at the…
A converging finite element scheme for motion by curvature of a network with a triple junction
Paola Pozzi, Björn Stinner
A new semi-discrete finite element scheme for the evolution of three parametrized curves by curvature flow that are connected by a triple junction is presented and analyzed. In thi…
A second order gradient flow of p-elastic planar networks
Matteo Novaga, Paola Pozzi
We consider a second order gradient flow of the p-elastic energy for a planar theta-network of three curves with fixed lengths. We construct a weak solution of the flow by means of…