The Mixed Finite Element Multigrid Method for Stokes Equations
Joint Authors
Muzhinji, K.
Shateyi, Stanford
Motsa, Sandile Sydney
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations.
A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and robust solution techniques.
This paper investigates one of such iterative solvers, the geometric multigrid solver, to find the approximate solution of the indefinite systems.
The main ingredient of the multigrid method is the choice of an appropriate smoothing strategy.
This study considers the application of different smoothers and compares their effects in the overall performance of the multigrid solver.
We study the multigrid method with the following smoothers: distributed Gauss Seidel, inexact Uzawa, preconditioned MINRES, and Braess-Sarazin type smoothers.
A comparative study of the smoothers shows that the Braess-Sarazin smoothers enhance good performance of the multigrid method.
We study the problem in a two-dimensional domain using stable Hood-Taylor Q2-Q1 pair of finite rectangular elements.
We also give the main theoretical convergence results.
We present the numerical results to demonstrate the efficiency and robustness of the multigrid method and confirm the theoretical results.
American Psychological Association (APA)
Muzhinji, K.& Shateyi, Stanford& Motsa, Sandile Sydney. 2015. The Mixed Finite Element Multigrid Method for Stokes Equations. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1078779
Modern Language Association (MLA)
Muzhinji, K.…[et al.]. The Mixed Finite Element Multigrid Method for Stokes Equations. The Scientific World Journal No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1078779
American Medical Association (AMA)
Muzhinji, K.& Shateyi, Stanford& Motsa, Sandile Sydney. The Mixed Finite Element Multigrid Method for Stokes Equations. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1078779
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078779