Corrigenda: Fully Discrete Approximations to the Time-dependent Navier–Stokes Equations with a Projection Method in Time and Grad-div Stabilization (original) (raw)

Abstract

The proof of Lemma 5 in de Frutos et al. (J Sci Comput 80: 1330–1368, 2019) is not correct. An alternative statement of Lemma 5 and its proof is provided. With this new statement the order of convergence of the pressure is reduced by one half order in the spatial mesh size. Changes in the results relying Lemma 5 are also provided.

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References

  1. Constantin, P., Foias, C.: Navier–Stokes Equations. The University of Chicago Press, Chicago (1988)
    Book Google Scholar
  2. de Frutos, J., García-Archilla, B., Novo, J.: Fully discrete approximations to the time-dependent Navier–Stokes equations with a projection method in time and grad-div stabilization. J. Sci. Comput. 80, 1330–1368 (2019)
    Article MathSciNet Google Scholar
  3. Galdi, G.P.: An Introduction to the Mathematical Theory of the Navier–Stokes Equations, vol. I. Springer, New York, Linearized Steady Problems (1994)
  4. Verfürth, R.: A posteriori error estimators for convection? Diffusion equations. Numer. Math. 80, 641–663 (1998)
    Article MathSciNet Google Scholar

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Authors and Affiliations

  1. Instituto de Investigación en Matemáticas (IMUVA), Universidad de Valladolid, Valladolid, Spain
    Javier de Frutos
  2. Departamento de Matemática Aplicada II, Universidad de Sevilla, Sevilla, Spain
    Bosco García-Archilla
  3. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain
    Julia Novo

Authors

  1. Javier de Frutos
  2. Bosco García-Archilla
  3. Julia Novo

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Correspondence toJulia Novo.

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de Frutos, J., García-Archilla, B. & Novo, J. Corrigenda: Fully Discrete Approximations to the Time-dependent Navier–Stokes Equations with a Projection Method in Time and Grad-div Stabilization.J Sci Comput 88, 40 (2021). https://doi.org/10.1007/s10915-021-01551-7

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