Nonconforming Finite Element Method Applied to the Driven Cavity Problem
نویسندگان
چکیده
منابع مشابه
Nonconforming finite element approximations of the Steklov eigenvalue problem
Article history: Received 27 November 2008 Received in revised form 27 March 2009 Accepted 22 April 2009 Available online 3 May 2009 MSC: 65N25 65N30 65N15
متن کاملNonconforming Mixed Finite Element Method for the Stationary Conduction-convection Problem
In this paper, a new stable nonconforming mixed finite element scheme is proposed for the stationary conduction-convection problem, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken as approximation space for the velocity, the piecewise constant element for the pressure and the bilinear element for the temperature, respectively. The convergence analysis i...
متن کاملLow Order Nonconforming Expanded Characteristic- Mixed Finite Element Method for the Convection- Diffusion Problem
A low order nonconforming finite element method is proposed for the convection-diffusion equations with the expanded characteristic-mixed finite element scheme. The method is a combination of characteristic approximation to handle the convection part in time and a expanded nonconforming mixed finite element spatial approximation to deal with the diffusion part. In the process, the interpolation...
متن کاملA Nonconforming Generalized Finite Element Method for Transmission Problems
We obtain “quasi-optimal rates of convergence” for transmission (interface) problems on domains with smooth, curved boundaries using a non-conforming Generalized Finite Element Method (GFEM). More precisely, we study the strongly elliptic problem Pu := − ∑ ∂j(A ∂iu) = f in a smooth bounded domain Ω with Dirichlet boundary conditions. The coefficients Aij are piecewise smooth, possibly with jump...
متن کاملA stabilized nonconforming finite element method for incompressible flow
In this paper we extend the recently introduced edge stabilization method to the case of nonconforming finite element approximations of the linearized Navier-Stokes equation. To get stability also in the convective dominated regime we add a term giving L2-control of the jump in the gradient over element boundaries. An a priori error estimate that is uniform in the Reynolds number is proved and ...
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: Communications in Computational Physics
سال: 2017
ISSN: 1815-2406,1991-7120
DOI: 10.4208/cicp.oa-2016-0039