A least squares Petrov-Galerkin finite element method for the stationary Navier-Stokes equations-Reference-Cited by-同舟云学术

A least squares Petrov-Galerkin finite element method for the stationary Navier-Stokes equations

Published:1993 Issue:202 Volume:60 Page:531-543
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Zhou Tian Xiao,Feng Min Fu

Abstract

In this paper, a Galerkin/least squares-type finite element method is proposed and analyzed for the stationary Navier-Stokes equations. The method is consistent and stable for any combination of discrete velocity and pressure spaces (without requiring a Babuška-Brezzi stability condition). The existence, uniqueness and convergence (at optimal rate) of the discrete solution is proved in the case of sufficient viscosity (or small data).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1993-60-202/S0025-5718-1993-1164127-6/S0025-5718-1993-1164127-6.pdf

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