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math.NA2024★ 1 cited
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…
math.NA2024★ 1 cited
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…
math.NA2024
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…