A relaxed non-linear inexact Uzawa algorithm for stokes problem | Zendy

Shaoqing Zheng | Zendy; Junfeng Lu | Zendy

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A relaxed non-linear inexact Uzawa algorithm for stokes problem

Author(s) -

Shaoqing Zheng,

Junfeng Lu

Publication year - 2019

Publication title -

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) , mathematics , stokes problem , finite element method , algorithm , saddle , point (geometry) , mathematical optimization , geometry , physics , 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.

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