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.
引用
收藏
页数：7
相关论文
共 50 条
12345