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An analysis for the compressible Stokes equations by first‐order system of least‐squares finite element method
Author(s) -
Kim Sang Dong,
Lee EunJung
Publication year - 2001
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1035
Subject(s) - mathematics , finite element method , mathematical analysis , compressibility , least squares function approximation , flux (metallurgy) , partial differential equation , order (exchange) , mixed finite element method , element (criminal law) , physics , mechanics , chemistry , law , thermodynamics , statistics , political science , economics , organic chemistry , finance , estimator
This article applies the first‐order system least‐squares ( fosls ) finite element method developed by Cai, Manteuffel and McCormick to the compressible Stokes equations. By introducing a new dependent velocity flux variable, we recast the compressible Stokes equations as a first‐order system. Then it is shown that the ellipticity and continuity hold for the least‐squares functionals employing the mixture of H −1 and L 2 , so that the fosls finite element methods yield best approximations for the velocity flux and velocity. © 2001 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:689–699, 2001
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