A non-conforming least-squares finite element method for incompressible fluid flow problems

SUMMARYIn this paper, we develop least‐squares finite element methods (LSFEMs) for incompressible fluid flows with improved mass conservation. Specifically, we formulate a new locally conservative LSFEM for the velocity–vorticity–pressure Stokes system, which uses a piecewise divergence‐free basis f...

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Bibliographic Details
Published in:	International journal for numerical methods in fluids Vol. 72; no. 3; pp. 375 - 402
Main Authors:	Bochev, Pavel, Lai, James, Olson, Luke
Format:	Journal Article
Language:	English
Published:	Bognor Regis Blackwell Publishing Ltd 30.05.2013 Wiley Subscription Services, Inc
Subjects:	Boundary conditions Computational fluid dynamics Conservation discontinuous elements Finite element analysis Finite element method Fluid flow Least squares method least-squares finite element methods mass conservation Mathematical analysis Mathematical models piecewise divergence-free velocity pressure Stokes and Navier-Stokes equations Stokes law (fluid mechanics) stream function Studies vorticity
ISSN:	0271-2091, 1097-0363
Online Access:	Get full text
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