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

被引：16

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.

引用

页数：14

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