A posteriori and a priori error estimates for linearized thin sheet folding
Numerical Analysis
2025-07-02 v1 Numerical Analysis
Abstract
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. The primary contribution is a local efficiency bound for an estimator that measures the extent to which the interface conditions along the fold are satisfied, which is accomplished by constructing a novel edge bubble function. We subsequently conduct a medius analysis to obtain improved a priori error estimates under the minimal regularity assumption on the exact solution. The performance of the method is illustrated by numerical experiments.
Cite
@article{arxiv.2507.00807,
title = {A posteriori and a priori error estimates for linearized thin sheet folding},
author = {Harbir Antil and Sean P. Carney and Rohit Khandelwal},
journal= {arXiv preprint arXiv:2507.00807},
year = {2025}
}