Residual-based a posteriori error estimators for algebraic stabilizations

被引：0
|
作者：
Jha, Abhinav [1 ]
机构：
[1] Univ Stuttgart, Inst Appl Anal & Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 157卷
关键词：
Steady-state convection diffusion reaction equations; Algebraically stabilized finite element methods; A posteriori estimator; Adaptive grid refinement;
D O I：
10.1016/j.aml.2024.109192
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：7
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