Combined Finite Element and Spectral Approximation of the Navier-Stokes Equations.
Y. Maday, A. Quarteroni, C. Canuto (1984)
Numerische Mathematik
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Displaying similar documents to “Spectral Tau Approximation of the Two-Dimensional Stokes Problem.”
Combined Finite Element and Spectral Approximation of the Navier-Stokes Equations.
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Y. Maday, Ch. Bernardi, B. Métivet (1987)
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Spectral discretization of Darcy equations coupled with Navier-Stokes equations by vorticity-velocity-pressure formulation
Yassine Mabrouki, Jamil Satouri (2022)
Applications of Mathematics
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We consider a model coupling the Darcy equations in a porous medium with the Navier-Stokes equations in the cracks, for which the coupling is provided by the pressure's continuity on the interface. We discretize the coupled problem by the spectral element method combined with a nonoverlapping domain decomposition method. We prove the existence of solution for the discrete problem and establish an error estimation. We conclude with some numerical tests confirming the results of our analysis. ...
Conforming finite element approximation of the Stokes problem
Michal Křížek (1990)
Banach Center Publications
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P. LeTallec (1980)
Numerische Mathematik
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Rüdiger Verfürth (1986/87)
Numerische Mathematik
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R. Verfürth (1991)
Numerische Mathematik
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Soren Jensen (1991)
Numerische Mathematik
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Jie Shen (1992)
Numerische Mathematik
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An Analysis of a Mixed Finite Element Method for the Navier-Stokes Equations.
V. Girault, P.A. Raviart (1979)
Numerische Mathematik
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Error Estimates for MAC-Like Approximations to the Linear Navier-Stokes Equations.
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A new formulation of the Stokes problem in a cylinder, and its spectral discretization
Nehla Abdellatif, Christine Bernardi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We analyze a new formulation of the Stokes equations in three-dimensional axisymmetric geometries, relying on Fourier expansion with respect to the angular variable: the problem for each Fourier coefficient is two-dimensional and has six scalar unknowns, corresponding to the vector potential and the vorticity. A spectral discretization is built on this formulation, which leads to an exactly divergence-free discrete velocity. We prove optimal error estimates.