A Non-Overlapping Domain Decomposition Method for the Stokes Problem
Keyword(s):
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.
2010 ◽
Vol 45
(4)
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pp. 675-696
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2007 ◽
Vol 70
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pp. 322-350
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2004 ◽
Vol 42
(2)
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pp. 667-685
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2007 ◽
Vol 204
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pp. 282-291
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2019 ◽
Vol 18
(9)
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pp. 1731-1735
2014 ◽
Vol 18
(1)
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pp. 17-26