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Error estimates for an upstream nonconforming finite element method to stationary linearized Navier-Stokes equations

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Abstract

In this paper we consider the numerical analysis of the stationary linearized Navier-Stokes equations using the linear nonconforming finite element method and the technique of upstream. We give the error estimates for the velocity and the pressure in the energy norm andL 2-norm, respectively.

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Authors and Affiliations

  1. Department of Information Engineering, Toyama Mercantile Marine College, Ebie-Neriya, 933-02, Shinminato-shi, Toyama, Japan

    Katsushi Ohmori

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  1. Katsushi Ohmori
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Dedicated to Professor Katsuya Nakashima on His 60th Birthday

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Ohmori, K. Error estimates for an upstream nonconforming finite element method to stationary linearized Navier-Stokes equations. Japan J. Appl. Math. 5, 187–203 (1988). https://doi.org/10.1007/BF03167872

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  • DOI: https://doi.org/10.1007/BF03167872

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