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. (C) 2000 John Wiley & Sons, Inc.
机构:
Virginia Tech, Dept Math, Blacksburg, VA 24060 USA
Virginia Tech, Acad Data Sci, Blacksburg, VA USA
Emory Univ, Dept Math, Atlanta, GA USAVirginia Tech, Dept Math, Blacksburg, VA 24060 USA
Chung, Matthias
Krueger, Justin
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Virginia Tech, Dept Math, Blacksburg, VA 24060 USAVirginia Tech, Dept Math, Blacksburg, VA 24060 USA
Krueger, Justin
Liu, Honghu
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Virginia Tech, Dept Math, Blacksburg, VA 24060 USAVirginia Tech, Dept Math, Blacksburg, VA 24060 USA
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Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China