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An Uzawa-type algorithm for the coupled Stokes equations

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  • 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 date: 2020-03-08

  Revised date: 2020-03-24

  Online published: 2020-07-03

Supported by

Project supported by the National Natural Science Foundation of China (No. 11861067)

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.

Cite this article

Pengzhan HUANG, Yinnian HE . An Uzawa-type algorithm for the coupled Stokes equations[J]. Applied Mathematics and Mechanics, 2020 , 41(7) : 1095 -1104 . DOI: 10.1007/s10483-020-2623-7

References

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