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A least‐squares finite element approximation for the compressible Stokes equations
Author(s) -
Cai Zhiqiang,
Ye Xiu
Publication year - 2000
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/(sici)1098-2426(200001)16:1<62::aid-num5>3.0.co;2-g
Subject(s) - mathematics , finite element method , compressibility , mathematical analysis , mixed finite element method , least squares function approximation , partial differential equation , stokes problem , partial derivative , extended finite element method , physics , mechanics , thermodynamics , statistics , estimator
This article studies a least‐squares finite element method for the numerical approximation of compressible Stokes equations. Optimal order error estimates for the velocity and pressure in the H 1 are established. The choice of finite element spaces for the velocity and pressure is not subject to the inf‐sup condition. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 62–70, 2000