16 citations · 22 across the 6 of their papers we have counts for
8 papers
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…
Tangential Errors of Tensor Surface Finite Elements
Hanne Hardering, Simon Praetorius
We discretize a tangential tensor field equation using a surface-finite element approach with a penalization term to ensure almost tangentiality. It is natural to measure the quali…
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…
Sparips
Bernhard Brehm, Hanne Hardering
Persistent homology of the Rips filtration allows to track topological features of a point cloud over scales, and is a foundational tool of topological data analysis. Unfortunately…
Projection-Based Finite Elements for Nonlinear Function Spaces
Philipp Grohs, Hanne Hardering, Oliver Sander +1
We introduce a novel type of approximation spaces for functions with values in a nonlinear manifold. The discrete functions are constructed by piecewise polynomial interpolation in…
The Aubin--Nitsche Trick for Semilinear Problems
Hanne Hardering
The Aubin--Nitsche trick is a common tool to show -error estimates for discretizations of -elliptic linear partial differential equations arising for example as Euler--La…