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math.NA2023★ 1 cited
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…
math.NA2023★ 2 cited
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…