4 papers · 1 filter
Odd behaviour of even geometries: an explanation for superconvergent geometric consistency errors
Hanne Hardering, Simon Praetorius, Gentian Zavalani
Piecewise polynomial surface approximations used in surface finite element methods often seem to behave better than their standard approximation properties suggest if their polynom…
Surface Minkowski tensors to characterize shapes on curved surfaces
Lea Happel, Hanne Hardering, Simon Praetorius +1
We introduce surface Minkowski tensors to characterize rotational symmetries of shapes embedded in curved surfaces. The definition is based on a modified vector transport of the sh…
Parametric Finite Element Discretization of the Surface Stokes Equations
Hanne Hardering, Simon Praetorius
We study a higher-order surface finite element (SFEM) penalty-based discretization of the tangential surface Stokes problem. Several discrete formulations are investigated which ar…
Quartic -convergence of cubic Riemannian splines
Hanne Hardering, Benedikt Wirth
We prove quartic convergence of cubic spline interpolation for curves into Riemannian manifolds as the grid size of the interpolation grid tends to zero. In contrast to cubic splin…