A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes
نویسندگان
چکیده
منابع مشابه
A Stabilized Finite Element Scheme for the Navier-stokes Equations on Quadrilateral Anisotropic Meshes
It is well known that the classical local projection method as well as residual-based stabilization techniques, as for instance streamline upwind Petrov-Galerkin (SUPG), are optimal on isotropic meshes. Here we extend the local projection stabilization for the Navier-Stokes system to anisotropic quadrilateral meshes in two spatial dimensions. We describe the new method and prove an a priori err...
متن کاملA stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier–Stokes equations
Recently, Douglas et al. [4] introduced a new, low-order, nonconforming rectangular element for scalar elliptic equations. Here, we apply this element in the approximation of each component of the velocity in the stationary Stokes and Navier–Stokes equations, along with a piecewiseconstant element for the pressure. We obtain a stable element in both cases for which optimal error estimates for t...
متن کاملA Stabilized Nonconforming Quadrilateral Finite Element Method for the Generalized Stokes Equations
In this paper, we study a local stabilized nonconforming finite element method for the generalized Stokes equations. This nonconforming method is based on two local Gauss integrals, and uses the equal order pairs of mixed finite elements on quadrilaterals. Optimal order error estimates are obtained for velocity and pressure. Numerical experiments performed agree with the theoretical results.
متن کاملStabilized Spectral Element Approximation for the Navier Stokes Equations
The conforming spectral element methods are applied to solve the linearized Navier–Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the high accuracy of the method as well as its robustness. c © 1998 John Wiley & Sons, Inc. Numer Metho...
متن کاملStabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations
This paper provides an error analysis for the Crank–Nicolson extrapolation scheme of time discretization applied to the spatially discrete stabilized finite element approximation of the two-dimensional time-dependent Navier–Stokes problem, where the finite element space pair (Xh,Mh) for the approximation (uh, p n h) of the velocity u and the pressure p is constructed by the low-order finite ele...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2008
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2008032