Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations
Numerical Analysis
2024-04-04 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2404.02804,
title = {Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations},
author = {Abhinav Jha},
journal= {arXiv preprint arXiv:2404.02804},
year = {2024}
}