THE SCOTT-VOGELIUS METHOD FOR THE STOKES PROBLEM ON ANISOTROPIC MESHES

被引：0

作者：

Kean, Kiera ^{[1
]}

Neilan, Michael ^{[1
]}

Schneier, Michael ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15213 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2022年 / 19卷 / 2-3期

关键词：

Divergence free finite elements; anisotropic meshes; inf-sup stability; FINITE-ELEMENT METHODS; MIXED HP-FEM; ORDER; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. We explore the behavior of the inf-sup stability constant with respect to the aspect ratio on meshes generated with a standard barycenter mesh refinement strategy, as well as a newly introduced incenter refinement strategy. Numerical experiments are presented which support the theoretical results.

引用

页码：157 / 174

页数：18

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