1 citations · 1 across the 7 of their papers we have counts for
14 papers
Structural changes in nonlocal denoising models arising through bi-level parameter learning
Elisa Davoli, Rita Ferreira, Carolin Kreisbeck +1
We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regu…
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
Carolin Kreisbeck, Antonella Ritorto, Elvira Zappale
Motivated by the direct method in the calculus of variations in , our main result identifies the notion of convexity characterizing the weakly lower semicontinuity…
On the interplay of anisotropy and geometry for polycrystals in single-slip crystal plasticity
Dominik Engl, Carolin Kreisbeck
In this paper, we investigate a variational polycrystalline model in finite crystal plasticity with one active slip system and rigid elasticity. The task is to determine inner and…
On static and evolutionary homogenization in crystal plasticity for stratified composites
Elisa Davoli, Carolin Kreisbeck
The starting point for this work is a static macroscopic model for a high-contrast layered material in single-slip finite crystal plasticity, identified in [Christowiak & Kreisbeck…
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy
Dominik Engl, Carolin Kreisbeck, Antonella Ritorto
We identify the restricted class of attainable effective deformations in a model of reinforced composites with parallel, long, and fully rigid fibers embedded in an elastic body. I…
Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation
Carolin Kreisbeck, Hidde Schönberger
Based on recent developments in the theory of fractional Sobolev spaces, an interesting new class of nonlocal variational problems has emerged in the literature. These problems, wh…