2 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
Variational problems with gradient constraints: and error identities
Harbir Antil, Sören Bartels, Alex Kaltenbach +1
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…
and error identities for the scalar Signorini problem
Sören Bartels, Thirupathi Gudi, Alex Kaltenbach
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 th…
Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction
Sören Bartels, Alex Kaltenbach
A posteriori error estimates are an important tool to bound discretization errors in terms of computable quantities avoiding regularity conditions that are often difficult to estab…
Explicit a posteriori error representation for variational problems and application to TV-minimization
Sören Bartels, Alex Kaltenbach
In this paper, we propose a general approach for explicit a posteriori error representation for convex minimization problems using basic convex duality relations. Exploiting discre…
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…