A Posteriori Error Analysis of the Hybrid High-Order Method for the Stokes Problem

被引：2
|
作者：
Zhang, Yongchao [1 ]
Mei, Liquan [2 ]
Wang, Gang [3 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710069, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[3] Northwestern Polytech Univ, Sch Math & Stat, Xian 710062, Shaanxi, Peoples R China
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2023年 / 96卷 / 03期
关键词：
Hybrid High-Order method; Stokes problem; A posteriori error analysis; General meshes; DISCONTINUOUS GALERKIN METHODS; FINITE-ELEMENT METHODS; APPROXIMATION; ESTIMATORS;
D O I：
10.1007/s10915-023-02291-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a residual-based a posteriori error estimator for the Hybrid High-Order (HHO) method for the Stokes model problem. Both the proposed HHO method and error estimator are valid in two and three dimensions and support arbitrary approximation orders on fairly general meshes. The upper bound and lower bound of the error estimator are proved, in which proof, the key ingredient is a novel stabilizer employed in the discrete scheme. By using the given estimator, adaptive algorithm of HHO method is designed to solve model problem. Finally, the expected theoretical results are numerically demonstrated on a variety of meshes for model problem.
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页数：31
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