Soren Bartels

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20242026

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math.NA2024

Variational problems with gradient constraints: $A priori$ and $a posteriori$ error identities

Harbir Antil, SÃ¶ren Bartels, Sören Bartels +2

In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an $a posteriori$ error identity for arbitrary conforming approximations of a…

math.NA2024

$A priori$ and $a posteriori$ error identities for the scalar Signorini problem

SÃ¶ren Bartels, Thirupathi Gudi, Alex Kaltenbach

In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an $a posteriori$ 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

SÃ¶ren 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…

Variational problems with gradient constraints: A priori and a posteriori error identities

A priori and a posteriori error identities for the scalar Signorini problem

Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction

Variational problems with gradient constraints: $A priori$ and $a posteriori$ error identities

$A priori$ and $a posteriori$ error identities for the scalar Signorini problem