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Finite element methods for compressible Stokes equations with inflow boundary condition

Published online by Cambridge University Press:  17 April 2009

Jae Ryong Kweon
Jae Ryong Kweon
Affiliation:
Department of Mathematics, College of Natural Science, Pusan Women's University, Pusan 617–736, Korea
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Abstract

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A finite element method for solving the compressible viscous Stokes equation with an inflow boundary condition is presented. The unique existence of the solution of the discrete problem is established, and an error analysis is given. It is shown that the error in pressure is dominated by the one in velocity and an error at the inflow portion of the boundary.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 217 - 225
Copyright
Copyright © Australian Mathematical Society 1997

References

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[5]Kweon, J.R., Kellogg, R.B., ‘Compressible Navier-Stokes Equations in a bounded domain with inflow boundary condition’, SIAM J. Math. Anal. 28 (1997), 94–108.CrossRefGoogle Scholar