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International Journal of Advanced Research in Engineering and Technology
(IJARET)
Volume 6, Issue 3, March, 2015, pp. 62-69, Article ID: IJARET_06_03_007
Available online at
http://www.iaeme.com/IJARET/issues.asp?JTypeIJARET&VType=6&IType=3
ISSN Print: 0976-6480 and ISSN Online: 0976-6499
© IAEME Publication
_____________________________________________________________________
ITERATIVE METHODS FOR THE
SOLUTION OF SADDLE POINT PROBLEM
Ndzana Benoît
Senior Lecturer, National Advanced School of Engineering,
University of Yaounde I, Cameroon
Biya Motto
Frederic, Senior Lecturer, Faculty of Sciences,
University of Yaounde I, Cameroon
Lekini Nkodo Claude Bernard
P.H.D. Student; National Advanced School of Engineering,
University of Yaounde I, Cameroon
ABSTRACT
Some new iterative methods for numerical solution of mixed finite element
approximation of Stokes problem are presented. The idea is the use of proper
preconditioning for the conjugate gradient algorithm. A particular case gives
a variant of the Arrow-Hurwicz method.
Keywords: Iterative method, Stokes problem, Arrow-Hurwicz method
Cite this Article: Benoît, N., Motto, B. and Bernard, L. N. C. Iterative
Methods for the Solution of Saddle Point Problem International Journal of
Advanced Research in Engineering and Technology, 6(3), 2015, pp. 62-69.
http://www.iaeme.com/IJARET/issues.asp?JType=IJARET&VType=6&IType=3
_____________________________________________________________________
1. STATEMENT OF THE PROBLEM
Let us consider a polygonal domain Ω ⊂
(n=2 or 3) of regular boundary Ω = Γ.
Let us denote = ∈ 1Ω
, =
Ω, =
,
and
=
[
!
"
+
"
!
] (1.1)
The Stokes problem for fluid flow is
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