A Two-Grid Finite Element Method for Time-Dependent Incompressible Navier-Stokes Equations with Non-Smooth Initial Data
2015 ◽
Vol 8
(4)
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pp. 549-581
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Keyword(s):
AbstractWe analyze here, a two-grid finite element method for the two dimensional time-dependent incompressible Navier-Stokes equations with non-smooth initial data. It involves solving the non-linear Navier-Stokes problem on a coarse grid of size H and solving a Stokes problem on a fine grid of size h, h « H. This method gives optimal convergence for velocity in H1-norm and for pressure in L2-norm. The analysis mainly focuses on the loss of regularity of the solution at t = 0 of the Navier-Stokes equations.
2009 ◽
Vol 215
(1)
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pp. 85-99
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2010 ◽
Vol 31
(7)
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pp. 861-874
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2007 ◽
Vol 76
(257)
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pp. 115-137
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2018 ◽
Vol 333
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pp. 55-73
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2015 ◽
Vol 41
(1)
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pp. 207-230
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1984 ◽
Vol 4
(6)
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pp. 557-598
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Keyword(s):
1984 ◽
Vol 4
(7)
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pp. 619-640
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Keyword(s):