On finite-difference approximations to steady-state solutions of the Navier-Stokes equations
A. Krzywicki (1968)
Colloquium Mathematicae
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A. Krzywicki (1968)
Colloquium Mathematicae
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Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub
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We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
R. Glowinski, O. Pironneau (1978)
Publications mathématiques et informatique de Rennes
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Zubelevich, Oleg (2005)
Lobachevskii Journal of Mathematics
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E. Fernandez-Cara, Mercedes M. Beltran (1987)
Numerische Mathematik
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Matania Ben-Artzi, Dalia Fishelov, Shlomo Trachtenberg (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two dimensional case. We provide numerical...
Cristescu, I.A. (2000)
APPS. Applied Sciences
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R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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Claus Gerhardt (1979)
Mathematische Zeitschrift
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