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math.NA2026
A -Based Semi-Smooth Newton Method for TV-Minimization
Sören Bartels, Alex Kaltenbach
In this paper, we devise a -based semi-smooth Newton method for the non-differentiable TV-minimization problem. To this end, the primal-dual optimality conditi…
math.NA2025
Error analysis for a Crouzeix-Raviart approximation of the obstacle problem
Sören Bartels, Alex Kaltenbach
In the present paper, we study a Crouzeix-Raviart approximation of the obstacle problem, which imposes the obstacle constraint in the midpoints (i.e., barycenters) of the elements…
math.NA2024
Variational problems with gradient constraints: and error identities
Harbir Antil, Sören Bartels, Sören Bartels +2
In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an error identity for arbitrary conforming approximations of a…