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Multigrid and Krylov Subspace Methods for the Discrete Stokes EquationsDiscretization 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: variants of the Uzawa, preconditioned conjugate gradient, preconditioned conjugate residual, and multigrid methods, for solving several two-dimensional model problems. The results indicate that where it is applicable, 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 both independent of iteration parameters and widely applicable.
Document ID
19970006878
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
Elman, Howard C.
(Maryland Univ. College Park, MD United States)
Date Acquired
August 17, 2013
Publication Date
September 1, 1996
Publication Information
Publication: Seventh Copper Mountain Conference on Multigrid Methods
Issue: Part 1
Subject Category
Numerical Analysis
Accession Number
97N13771
Funding Number(s)
CONTRACT_GRANT: DAAL-0392-G-0016
CONTRACT_GRANT: NSF ASC-89-58544
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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