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Finite element error estimates for subsonic flow

Published online by Cambridge University Press:  17 February 2009

S. S. Chow  and
G. F. Carey
S. S. Chow
Affiliation:
Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas, U.S.A..
G. F. Carey
Affiliation:
Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas, U.S.A..
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Abstract

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Error estimates are derived for a finite element analysis of plane steady subsonic flows described by the full potential equation. The analysis is based on the use of the theory of variational inequalities to accomodate the subsonic flow constraint and leads to a suboptimal estimate relative to that obtained for linear potential flow. We then consider an alternative dual formulation of the problem and obtain an optimal estimate subject to reasonable regularity assumptions.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 1 , July 1987 , pp. 88 - 102
Copyright
Copyright © Australian Mathematical Society 1987

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