An Uzawa-type algorithm for the coupled Stokes equations

doi:10.1007/s10483-020-2623-7

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (7): 1095-1104.doi: https://doi.org/10.1007/s10483-020-2623-7

An Uzawa-type algorithm for the coupled Stokes equations

Pengzhan HUANG¹, Yinnian HE²

1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;
2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2020-03-08 修回日期:2020-03-24 发布日期:2020-07-03
通讯作者: Pengzhan HUANG E-mail:hpzh007@yahoo.com
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11861067)

An Uzawa-type algorithm for the coupled Stokes equations

Pengzhan HUANG¹, Yinnian HE²

1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;
2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2020-03-08 Revised:2020-03-24 Published:2020-07-03
Contact: Pengzhan HUANG E-mail:hpzh007@yahoo.com
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11861067)

摘要/Abstract

摘要： An Uzawa-type algorithm is designed for the coupled Stokes equations discretized by the mixed finite element method. The velocity solved by the presented algorithm is weakly divergence-free, which is different from the one solved by the common Uzawa method. Besides, an optimal relaxation parameter of the presented algorithm is provided.

关键词: coupled Stokes equation, Uzawa method, optimal relaxation parameter, weakly divergence-free Chinese Library

Abstract: An Uzawa-type algorithm is designed for the coupled Stokes equations discretized by the mixed finite element method. The velocity solved by the presented algorithm is weakly divergence-free, which is different from the one solved by the common Uzawa method. Besides, an optimal relaxation parameter of the presented algorithm is provided.

Key words: coupled Stokes equation, Uzawa method, optimal relaxation parameter, weakly divergence-free Chinese Library

中图分类号:

65N30
65N12

Pengzhan HUANG, Yinnian HE. An Uzawa-type algorithm for the coupled Stokes equations[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(7): 1095-1104.

参考文献

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An Uzawa-type algorithm for the coupled Stokes equations

An Uzawa-type algorithm for the coupled Stokes equations

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