Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition II.
R. Verfürth (1991)
Numerische Mathematik
Similarity:
R. Verfürth (1991)
Numerische Mathematik
Similarity:
P. LeTallec (1980)
Numerische Mathematik
Similarity:
V. Girault, P.A. Raviart (1979)
Numerische Mathematik
Similarity:
R. Glowinski, Y. Achdou, ... (1992)
Numerische Mathematik
Similarity:
Piotr Bogusław Mucha (2004)
Applicationes Mathematicae
Similarity:
We study solutions of the steady Navier-Stokes equations in a bounded 2D domain with the slip boundary conditions admitting flow across the boundary. We show conditions guaranteeing uniqueness of the solution. Next, we examine the structure of the solution considering an approximation given by a natural linearization. Suitable error estimates are also obtained.
M.D. Gunzburger, J.S. Peterson (1983)
Numerische Mathematik
Similarity:
Jiří Neustupa, Patrick Penel (2008)
Banach Center Publications
Similarity:
We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.
Y. Maday, A. Quarteroni, C. Canuto (1984)
Numerische Mathematik
Similarity:
Jason S. Howell, Noel J. Walkington (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.
Christiaan Le Roux (2023)
Applications of Mathematics
Similarity:
This article deals with the solvability of the boundary-value problem for the Navier-Stokes equations with a direction-dependent Navier type slip boundary condition in a bounded domain. Such problems arise when steady flows of fluids in domains with rough boundaries are approximated as flows in domains with smooth boundaries. It is proved by means of the Galerkin method that the boundary-value problem has a unique weak solution when the body force and the variability of the surface friction...
Claes Johnson (1978)
Publications mathématiques et informatique de Rennes
Similarity:
Chérif Amrouche, Patrick Penel, Nour Seloula (2013)
Annales mathématiques Blaise Pascal
Similarity:
This article addresses some theoretical questions related to the choice of boundary conditions, which are essential for modelling and numerical computing in mathematical fluids mechanics. Unlike the standard choice of the well known non slip boundary conditions, we emphasize three selected sets of slip conditions, and particularly stress on the interaction between the appropriate functional setting and the status of these conditions.
T.A. Porsching (1977/1978)
Numerische Mathematik
Similarity:
Michal Křížek (1990)
Banach Center Publications
Similarity:
Rolf Stenberg (1989/90)
Numerische Mathematik
Similarity:
Jie Shen (1992)
Numerische Mathematik
Similarity:
Rainer Picard (2008)
Banach Center Publications
Similarity:
The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.