The Applications Of BCG and PBCG Methods On Stokes Problem Solved By Finite Element Method

المؤلفون

  • Omar Ali Aleyan Mathematics Department, Faculty Of Education, AL Asmarya Islamic University

DOI:

https://doi.org/10.59743/jbs.v25i.154

الكلمات المفتاحية:

BCG method، PBCG method، Stokes problem، finite element methods

الملخص

We apply the Biconjugate Gradient method (BCG) and preconditioned
Biconjugate Gradient method (PBCG) for the system Hx  b , that we have
got by discretization of the Stokes equation, we show the number of
iterations and residual on different mesh size for the two methods, and
finally we can compare the results.

المراجع

Aleyan O. A.:The applications of GMRES method on stokes problem

solved by finite element method. 9th International Conference on

Mathematical problems in Engineering and Aerospace Sciences, Vienna,

Austria, July 10 – July 14 , 2012.

Aleyan O. A.: Convergence study of the condition number for some

preconditioners to the Stokes problem. 8th International Conference on

Mathematical problems in Engineering and Aerospace Sciences, Sao Jose

dos Campos, Brazil, June 30- July 3, 2010.

Aleyan O. A.: On the preconditioning of the matrices in the Stokes

equation. Conference of topical problems of fluid mechanics 2006. Institute

of Thermomechanics AS CR, Prague, February 22-24, 2006.

Berman, A. and Plemmons, R. Nonnegative matrices in the

mathematical sciences, Academic Press, New York, 1979.

Horn, R.A. and Johnson, C.R. Matrix analysis, Cambridge University

Press, Cambridge, 1986.

Ortega, J.M. and Rheinboldt, W.C. Iterative solution of linear systems,

Plenum Press, New York, 1988.

Miroslav Fiedler., Special matrices and their applications in numerical

mathematics, Kluwer, 1986.

Miroslav Fiedler and VlastimilPtak, On matrices with non-positive off-

diagonal elements and positive principal minors, Czechosl. Math. Journal

(87)12,1962, pp 382-400.

Varga, R.S. Matrix iterative analysis, Prentice Hall, New York, 1962.

Young, D. Iterative solution of large linear systems, Academic Press,

New York, 1977.

Richard L. Burden and J. DonglasFaires. Numerical analysis, third

edition prindle, Weber & Schmidt, Boston, 1985.

التنزيلات

منشور

2014-12-31

إصدار

القسم

مقالات

كيفية الاقتباس

The Applications Of BCG and PBCG Methods On Stokes Problem Solved By Finite Element Method (O. A. Aleyan). (2014). مجلة العلوم الأساسية, 25, 39-32. https://doi.org/10.59743/jbs.v25i.154

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