Article ID Journal Published Year Pages File Type
841259 Nonlinear Analysis: Theory, Methods & Applications 2009 11 Pages PDF
Abstract

The main aim of this paper is to study the error estimates of a rectangular nonconforming finite element for the stationary Navier–Stokes equations under anisotropic meshes. That is, the nonconforming rectangular element is taken as approximation space for the velocity and the piecewise constant element for the pressure. The convergence analysis is presented and the optimal error estimates both in a broken H1H1-norm for the velocity and in an L2L2-norm for the pressure are derived on anisotropic meshes.

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Physical Sciences and Engineering Engineering Engineering (General)
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