3 citations · 4 across the 4 of their papers we have counts for
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math.NA2020
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…
math.NA2020
An adaptive finite element approach for lifted branched transport problems
Carolin Dirks, Benedikt Wirth
We consider so-called branched transport and variants thereof in two space dimensions. In these models one seeks an optimal transportation network for a given mass transportation t…
math.NA2019
Consistent Curvature Approximation on Riemannian Shape Spaces
Alexander Effland, Behrend Heeren, Martin Rumpf +1
We describe how to approximate the Riemann curvature tensor as well as sectional curvatures on possibly infinite-dimensional shape spaces that can be thought of as Riemannian manif…