A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem

被引：0

作者：

Gang Wang

Ying Wang

Yinnian He

机构：

[1] Northwestern Polytechnical University,School of Mathematics and Statistics

[2] Xi’an University of Architecture and Technology,School of Science

[3] Xi’an Jiaotong University,School of Mathematics and Statistics

来源：

Journal of Scientific Computing | 2020年 / 84卷

关键词：

Stokes problem; Virtual element method; A posteriori error estimate; Polygonal meshes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper presents a residual-type a posteriori error estimator for the virtual element method for the Stokes problem. It is proved that the a posteriori error estimator is reliable and efficient. The virtual element method allows the use of very general polygonal meshes and handles the hanging nodes naturally. Consequently, the local post-processing of locally adapted mesh can be avoided, which simplifies the adaptive procedure. A series of numerical examples are reported to show the effectiveness of adaptive mesh refinement driven by this estimator.

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