A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN
2006 ◽
Vol 16
(02)
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pp. 233-263
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Keyword(s):
A Priori
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We consider the Stokes problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian domain. We propose a discretization of this problem which combines Fourier truncation and finite element methods applied to each of the two-dimensional systems. We give the detailed a priori and a posteriori analyses of the discretization and present some numerical experiments which are in good agreement with the analysis.
2009 ◽
Vol 43
(6)
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pp. 1185-1201
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2006 ◽
Vol 44
(5)
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pp. 1903-1920
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1998 ◽
Vol 96
(2)
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pp. 99-116
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Keyword(s):
1995 ◽
Vol 29
(3)
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pp. 367-389
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Keyword(s):
2009 ◽
Vol 19
(07)
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pp. 1139-1183
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