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The Finite Element Method for the Navier-Stokes Equations for a Viscous Heat Conducting Gas

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

A boundary value problem for the Navier-Stokes equations for a viscous heat conducting gas in a finite computational domain is considered. The space approximation is constructed with the use of the Bubnov-Galerkin method combined with the method of lines.

This work was supported by Russian Foundation of Basic Research (grant N 02-01-00523)

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References

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  3. Karepova, E.D., Shaidurov, V.V.: The numerical solution of the Navier-Stokes equations for a viscous heat conducting gas. In: Part II. Space approximation by the finite element method. – Krasnoyarsk: Institute of Computational Modeling of Russian Academy of Sciences, 70 p. (2004) (Deposited in VINITI 13.01.04, 58–B2004)

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© 2005 Springer-Verlag Berlin Heidelberg

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Karepova, E.D., Malyshev, A.V., Shaidurov, V.V., Shchepanovskaya, G.I. (2005). The Finite Element Method for the Navier-Stokes Equations for a Viscous Heat Conducting Gas. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_6

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

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