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The analysis of a finite element method for the Navier–Stokes equations with compressibility

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Summary.

A finite element formulation is developed for the two dimensional nonlinear time dependent compressible Navier–Stokes equations on a bounded domain. The existence and uniqueness of the solution to the numerical formulation is proved. An error estimate for the numerical solution is obtained.

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Authors and Affiliations

  1. IPST, University of Maryland, College Park, MD 20742, USA, , , , , , US

    Bruce Kellogg

  2. Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA; e-mail: bliu@math.uri.edu, , , , , , US

    Biyue Liu

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  1. Bruce Kellogg
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  2. Biyue Liu
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Received September 9, 1997 / Revised version received August 12, 1999 / Published online July 12, 2000

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Kellogg, B., Liu, B. The analysis of a finite element method for the Navier–Stokes equations with compressibility. Numer. Math. 87, 153–170 (2000). https://doi.org/10.1007/s002110000172

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  • DOI: https://doi.org/10.1007/s002110000172

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