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A Non-Overlapping Domain Decomposition Method for the Stokes Problem

[+] Author Affiliations
Attila Zsaki, Marius Paraschivoiu

University of Toronto, Toronto, ON, Canada

Paper No. FEDSM2002-31368, pp. 579-586; 8 pages
doi:10.1115/FEDSM2002-31368
From:
  • ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
  • Volume 2: Symposia and General Papers, Parts A and B
  • Montreal, Quebec, Canada, July 14–18, 2002
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-3616-9 | eISBN: 0-7918-3600-2
  • Copyright © 2002 by ASME

abstract

A domain decomposition method for the Stokes problem using Lagrange multipliers is described. The dual system associated with the Lagrange multipliers is solved based on an iterative procedure using the two-level finite element tearing and interconnecting (FETI) method. Numerical tests are performed by solving the driven cavity problem. An analysis of the number of outer iterations and an evaluation of the cost of the inner iterations are reported. Comparison with the well-known Uzawa algorithm shows a reduction in the floating point operations count of the inner iterations while achieving the same number of outer iterations.

Copyright © 2002 by ASME

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