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

页数：7

共 6 条

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