A FICTITIOUS DOMAIN / DOMAIN DECOMPOSITION METHOD AND ITS APPLICATIONS
Keyword(s):
In this article, the combination of fictitious domain and domain decomposition has been presented. First, we construct an equivalent variational formulation for the Dirichlet problem of linear elliptic operators and discuss the space approximation. Then the approach is applied to the incompressible Navier-Stokes equations, including construction of the variational formulation and time discretization by operator splitting. Finally, some numerical results are presented to validate our approach.
2000 ◽
Vol 37
(5)
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pp. 1455-1480
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2005 ◽
Vol 55
(1)
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pp. 100-124
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2015 ◽
Vol 36
(8)
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pp. 1073-1090
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2000 ◽
Vol 7
(6)
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pp. 449-472
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