9 citations · 16 across the 6 of their papers we have counts for
10 papers
Two-Scale Finite Element Approximation of a Homogenized Plate Model
Martin Rumpf, Stefan Simon, Christoph Smoch
This paper studies the discretization of a homogenization and dimension reduction model for the elastic deformation of microstructured thin plates proposed by Hornung, Neukamm, and…
Two-scale elastic shape optimization for additive manufacturing
Sergio Conti, Martin Rumpf, Stefan Simon
In this paper, a two-scale approach for elastic shape optimization of fine-scale structures in additive manufacturing is investigated. To this end, a free material optimization is…
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces
Martin Rumpf, Stefan Simon, Christoph Smoch
In this paper, the numerical approximation of isometric deformations of thin elastic shells is discussed. To this end, for a thin shell represented by a parametrized surface, it is…
On Material Optimisation for Nonlinearly Elastic Plates and Shells
Peter Hornung, Martin Rumpf, Stefan Simon
This paper investigates the optimal distribution of hard and soft material on elastic plates. In the class of isometric deformations stationary points of a Kirchhoff plate function…
Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering
Patrick Dondl, Patrina S. P. Poh, Martin Rumpf +1
This paper deals with the simulateneous optimization of a subset of some domain and its complement both co…
Computation of Optimal Transport on Discrete Metric Measure Spaces
Matthias Erbar, Martin Rumpf, Bernhard Schmitzer +1
In this paper we investigate the numerical approximation of an analogue of the Wasserstein distance for optimal transport on graphs that is defined via a discrete modification of t…
Generalized optimal transport with singular sources
Jan Maas, Martin Rumpf, Stefan Simon
We present a generalized optimal transport model in which the mass-preserving constraint for the -Wasserstein distance is relaxed by introducing a source term in the continuit…
Material Optimization for Nonlinearly Elastic Planar Beams
Peter Hornung, Martin Rumpf, Stefan Simon
We consider the problem of an optimal distribution of soft and hard material for nonlinearly elastic planar beams. We prove that under gravitational force the optimal distribution…
A generalized model for optimal transport of images including dissipation and density modulation
Jan Maas, Martin Rumpf, Carola Schönlieb +1
In this paper the optimal transport and the metamorphosis perspectives are combined. For a pair of given input images geodesic paths in the space of images are defined as minimizer…
Bézier curves in the space of images
Alexander Effland, Martin Rumpf, Stefan Simon +2
Bézier curves are a widespread tool for the design of curves in Euclidian space. This paper generalizes the notion of Bézier curves to the infinite-dimensional space of images. To…