Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations
<|reference_start|>Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations: In this note, we extend the analysis for the residual-based a posteriori error estimators in the energy norm defined for the algebraic flux correction (AFC) schemes [Jha20.CAMWA] to the newly proposed algebraic stabilization schemes [JK21.NM, Kn23.NA]. Numerical simulations on adaptively refined grids are performed in two dimensions showing the higher efficiency of an algebraic stabilization with similar accuracy compared with an AFC scheme.<|reference_end|>
@article{jha2024residual-based,
    title={Residual-Based a Posteriori Error Estimators for Algebraic
  Stabilizations},
    author={Abhinav Jha},
    journal={arXiv preprint arXiv:2404.02804},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.02804},
    primaryClass={math.NA cs.NA}
}