ISSN:
0271-2091

Keywords:
Stokes
;
multigrid
;
Krylov subspace
;
conjugate gradient
;
conjugate residual
;
Uzawa
;
Engineering
;
Engineering General

Source:
Wiley InterScience Backfile Collection 1832-2000

Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes:
Discretization of the Stokes equations produces a symmetric indefinite system of linear equations. For stable discretizations a variety of numerical methods have been proposed that have rates of convergence independent of the mesh size used in the discretization. In this paper we compare the performance of four such methods, namely variants of the Uzawa, preconditioned conjugate gradient, preconditioned conjugate residual and multigrid methods, for solving several two-dimensional model problems. The results indicate that multigrid with smoothing based on incomplete factorization is more efficient than the other methods, but typically by no more than a factor of two. The conjugate residual method has the advantage of being independent of iteration parameters.

Additional Material:
5 Ill.

Type of Medium:
Electronic Resource

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