Error estimate of Gauge-Uzawa methods for incompressible flows with variable density

被引：14
|
作者：
Chen, Hongtao [1 ,2 ]
Mao, Jingjing [1 ,2 ]
Shen, Jie [1 ,2 ,3 ]
机构：
[1] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[3] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 364卷
基金：
中国国家自然科学基金;
关键词：
Gauge-Uzawa method; Variable density; Error estimates; Finite element method; Stability; MIXED FINITE-ELEMENTS;
D O I：
10.1016/j.cam.2019.06.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct a positivity-preserving Gauge-Uzawa method for the semi-discrete-in-time scheme of incompressible viscous flows with variable density, and establish its stability and error estimates. We also construct and implement a fully discrete scheme with finite elements in space and derive its positivity-preserving and stability result. (C) 2019 Elsevier B.V. All rights reserved.
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页数：14
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