Residual-based a posteriori error estimators for algebraic stabilizations

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-06-07 DOI:10.1016/j.aml.2024.109192

Abhinav Jha

引用次数: 0

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.

查看原文本刊更多论文

基于残差的代数稳定后验误差估计器

在本论文中，我们将对代数通量校正（AFC）方案（Jha, 2021）定义的能量规范中基于残差的后验误差估计器的分析，扩展到新提出的代数稳定方案（John 和 Knobloch, 2022; Knobloch, 2023）。在自适应细化网格上进行的二维数值模拟显示，与 AFC 方案相比，代数稳定方案的效率更高，且精度相似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.

文献相关原料

公司名称	产品信息	采购帮参考价格