A relaxed non-linear inexact Uzawa algorithm for stokes problem

In this paper, we consider a Stokes problem arising in fluid dynamics and thermal science, which can be transformed to a symmetric saddle point problem by using the mixed finite element approximation. A relaxed non-linear inexact Uzawa algorithm is proposed for solving the problem, and the convergen...

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Bibliographic Details
Published inThermal science Vol. 23; no. 4; pp. 2323 - 2331
Main Authors Zheng, Shao-Qing, Lu, Jun-Feng
Format Journal Article
LanguageEnglish
Published Belgrade Society of Thermal Engineers of Serbia 2019
Subjects
Algorithms
Computational fluid dynamics
Mathematical analysis
Saddle points
Uzawa's algorithm
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Summary:In this paper, we consider a Stokes problem arising in fluid dynamics and thermal science, which can be transformed to a symmetric saddle point problem by using the mixed finite element approximation. A relaxed non-linear inexact Uzawa algorithm is proposed for solving the problem, and the convergence of this algorithm is also considered. Numerical experiments are presented to show the efficiency of relaxed non-linear inexact Uzawa algorithm. nema
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI1904323Z