Open AccessA relaxed non-linear inexact Uzawa algorithm for stokes problem
Author(s) -
Shihui Zheng,
Junfeng Lu
Publication year - 2019
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1904323z
Subject(s) - saddle point , convergence (economics) , stokes problem , finite element method , mathematics , saddle , algorithm , point (geometry) , linear system , computer science , mathematical optimization , mathematical analysis , physics , geometry , economics , thermodynamics , economic growth
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.