THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Shao-Qing Zheng

,

Jun-Feng Lu

A RELAXED NON-LINEAR INEXACT UZAWA ALGORITHM FOR STOKES PROBLEM

ABSTRACT
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.
KEYWORDS
Stokes problem, saddle point problem, Uzawa algorithm, convergence
PAPER SUBMITTED: 2018-03-02
PAPER REVISED: 2018-11-20
PAPER ACCEPTED: 2018-11-22
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904323Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2323 - 2331]
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A relaxed non-linear inexact Uzawa algorithm for stokes problem

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