%0 Journal Article %1 jha2024residualbased %A Jha, Abhinav %D 2024 %J Applied Mathematics Letters %K myown nmh ians nmh-preprint-published %P 109192 %R 10.1016/j.aml.2024.109192 %T Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations %U https://doi.org/10.1016/j.aml.2024.109192 %V 157 %X 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 (Jha, 2021) to the newly proposed algebraic stabilization schemes (John and Knobloch, 2022; Knobloch, 2023). 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

@article{jha2024residualbased, 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 (Jha, 2021) to the newly proposed algebraic stabilization schemes (John and Knobloch, 2022; Knobloch, 2023). 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}, added-at = {2024-06-12T11:20:17.000+0200}, author = {Jha, Abhinav}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/28bc00d26afcf12f7865d2e4c9ae222e1/mathematik}, doi = {10.1016/j.aml.2024.109192}, interhash = {a70ffd00616d4ef475298dd423f0ba71}, intrahash = {8bc00d26afcf12f7865d2e4c9ae222e1}, journal = {Applied Mathematics Letters}, keywords = {myown nmh ians nmh-preprint-published}, month = {June}, pages = 109192, timestamp = {2024-06-12T11:20:17.000+0200}, title = {Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations}, url = {https://doi.org/10.1016/j.aml.2024.109192}, volume = 157, year = 2024 }