5 papers
Consistent and convergent discretizations of Helfrich-type energies on general meshes
Vincent Degrooff, Peter Gladbach, Heiner Olbermann
We show that integral curvature energies on surfaces of the type have discrete versions for triangular complexes, where t…
Asymptotic meshes from -variational adaptation methods for static problems in one dimension
Darith Hun, Nicolas Moës, Heiner Olbermann
We consider the minimization of integral functionals in one dimension and their approximation by -adaptive finite elements. Including the grid of the FEM approximation as a vari…
Phase separation on varying surfaces and convergence of diffuse interface approximations
Heiner Olbermann, Matthias Röger
In this paper we consider phase separations on (generalized) hypersurfaces in Euclidian space. We consider a diffuse surface area (line tension) energy of Modica-Mortola type and p…
Interacting phase fields yielding phase separation on surfaces
Benjamin Lledos, Roberta Marziani, Heiner Olbermann
In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on defined by two c…
Connecting disclinations by ridges
Peter Gladbach, Heiner Olbermann
We consider a thin elastic sheet with a finite number of disclinations in a variational framework in the Föppl-von Kármán approximation. Under the non-physical assumption that t…