A multipoint vorticity mixed finite element method for incompressible Stokes flow

被引：4

作者：

Boon, Wietse M. ^{[1
]}

Fumagalli, Alessio ^{[1
]}

机构：

[1] Politecn Milan, MOX Modeling & Sci Comp, Piazza Leonardo da Vinci 32, Milan, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 137卷

关键词：

Multipoint vorticity; Mixed finite element method; Stokes flow; Hybridization;

D O I：

10.1016/j.aml.2022.108498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a mixed finite element method for Stokes flow with one degree of freedom per element and facet of simplicial grids. The method is derived by considering the vorticity-velocity-pressure formulation and eliminating the vorticity locally through the use of a quadrature rule. The discrete solution is pointwise divergence-free and the method is pressure robust. The theoretically derived convergence rates are confirmed by numerical experiments.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

共 9 条

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