A multipoint vorticity mixed finite element method for incompressible Stokes flow

被引：2
|
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.
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页数：8
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