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math.NA2025
A posteriori and a priori error estimates for linearized thin sheet folding
Harbir Antil, Sean P. Carney, Rohit Khandelwal
We describe a posteriori error analysis for a discontinuous Galerkin method for a fourth order elliptic interface problem that arises from a linearized model of thin sheet folding.…
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…
math.NA2024
Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities
Harbir Antil, Rohit Khandelwal
Elliptic reconstruction property, originally introduced by Makridakis and Nochetto for linear parabolic problems, is a well-known tool to derive optimal a posteriori error estimate…