A posteriori error analysis of hybrid higher order methods for the elliptic obstacle problem
<|reference_start|>A posteriori error analysis of hybrid higher order methods for the elliptic obstacle problem: In this article, a posteriori error analysis of the elliptic obstacle problem is addressed using hybrid high-order methods. The method involve cell unknowns represented by degree-$r$ polynomials and face unknowns represented by degree-$s$ polynomials, where $r=0$ and $s$ is either $0$ or $1$. The discrete obstacle constraints are specifically applied to the cell unknowns. The analysis hinges on the construction of a suitable Lagrange multiplier, a residual functional and a linear averaging map. The reliability and the efficiency of the proposed a posteriori error estimator is discussed, and the study is concluded by numerical experiments supporting the theoretical results.<|reference_end|>
@article{porwal2024a,
    title={A posteriori error analysis of hybrid higher order methods for the
  elliptic obstacle problem},
    author={Kamana Porwal and Ritesh Singla},
    journal={arXiv preprint arXiv:2405.04961},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.04961},
    primaryClass={math.NA cs.NA}
}