On computing the pressure by the p version of the finite element method for Stokes problem.
Soren Jensen (1991)
Numerische Mathematik
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Displaying similar documents to “A numerical algorithm for the Stokes problem based on an integral equation for the pressure via conformal mappings.”
On computing the pressure by the p version of the finite element method for Stokes problem.
The Convergence of two Numerical Schemes for the Navier-Stokes Equations.
E. Fernandez-Cara, Mercedes M. Beltran (1987)
Numerische Mathematik
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Mulit-Grid Methods for Stokes and Navier-Stokes Equations. Transforming Smoothers: Algorithms and Numerical Results.
G. Wittum (1989)
Numerische Mathematik
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Vorticity dynamics and numerical Resolution of Navier-Stokes Equations
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...
Quasisolenoidal Velocity-Pressure Finite Element Methods for the Three-Dimensional Stokes Problem.
Vitoriano Ruas (1985)
Numerische Mathematik
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On Numerical Methods for the Stokes Problem
R. Glowinski, O. Pironneau (1978)
Publications mathématiques et informatique de Rennes
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On finite-difference approximations to steady-state solutions of the Navier-Stokes equations
A. Krzywicki (1968)
Colloquium Mathematicae
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Some New Families of Finite Elements for the Stokes Equations.
Rolf Stenberg (1989/90)
Numerische Mathematik
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Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method
Luís Borges, Adélia Sequeira (2008)
Banach Center Publications
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In this paper we apply a domain decomposition method to approach the solution of a non-Newtonian viscoelastic Oldroyd-B model. The numerical scheme is based on a fixed-point argument applied to the original non-linear system of partial differential equations decoupled into a Navier-Stokes system and a tensorial transport equation. Using a modified Schwarz algorithm, involving block preconditioners for the Navier-Stokes equations, the decoupled problems are solved iteratively. Numerical...
On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations.
Jie Shen (1992)
Numerische Mathematik
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Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
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.