44 citations · 58 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
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…
Elastic flow interacting with a lateral diffusion process: The one-dimensional graph case
Paola Pozzi, Björn Stinner
A finite element approach to the elastic flow of a curve coupled with a diffusion equation on the curve is analysed. Considering the graph case, the problem is weakly formulated an…
Curve shortening flow coupled to lateral diffusion
Paola Pozzi, Bjorn Stinner
We present and analyze a semi-discrete finite element scheme for a system consisting of a geometric evolution equation for a curve and a parabolic equation on the evolving curve. M…
A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow
Ricardo Perl, Paola Pozzi, Martin Rumpf
A variational time discretization of anisotropic Willmore flow combined with a spatial discretization via piecewise affine finite elements is presented. Here, both the energy and t…