69 citations · 79 across the 11 of their papers we have counts for
17 papers
A surface finite element scheme for a stochastic PDE on an evolving curve
Paola Pozzi, Björn Stinner
In this paper we consider an ESFEM method for the advection and diffusion of a scalar quantity on a moving closed curve. The diffusion process is controlled by a forcing term that…
On a phase field model for binary mixtures of micropolar fluids with non-matched densities and moving contact lines
Kin Shing Chan, Baoli Hao, Kei Fong Lam +1
We introduce a new phase field model for binary mixtures of incompressible micropolar fluids, which are among the simplest categories of fluids exhibiting internal rotations. The m…
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…
On the sharp interface limit of a phase field model for near-spherical two phase biomembranes
Charles M. Elliott, Luke Hatcher, Björn Stinner
We consider sharp interface asymptotics for a phase field model of two phase near spherical biomembranes involving a coupling between the local mean curvature and the local composi…
A surface finite element method for computational modelling of cell blebbing
Björn Stinner, Andreas Dedner, Adam Nixon
Cell blebs are protrusions of the cell membrane and can be instrumental for cell migration. We derive a continuum model for the mechanical and geometrical aspects of the onset of b…
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…