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A posteriori analysis of the Newton method applied to the Navier–Stokes problem

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Abstract

In this paper we study the a posteriori error estimates for the Navier–Stokes equations. The problem is discretized using the finite element method and solved using the Newton iterative algorithm. A posteriori error estimate has been established based on two types of error indicators. Finally, numerical experiments and comparisons with previous works validate the proposed scheme and show the effectiveness of the studied algorithm.

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Authors and Affiliations

  1. Faculté des ingénieurs, Université Saint-Joseph de Beyrouth, Beirut, Lebanon

    Jad Dakroub

  2. Laboratoire de mathématiques et applications, Unité de recherche Mathématiques et modélisation, Faculté des sciences, Université Saint-Joseph de Beyrouth, Beirut, Lebanon

    Joanna Faddoul & Toni Sayah

Authors
  1. Jad Dakroub
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  2. Joanna Faddoul
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  3. Toni Sayah
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Correspondence to Joanna Faddoul.

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Dakroub, J., Faddoul, J. & Sayah, T. A posteriori analysis of the Newton method applied to the Navier–Stokes problem. J. Appl. Math. Comput. 63, 411–437 (2020). https://doi.org/10.1007/s12190-020-01323-w

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  • DOI: https://doi.org/10.1007/s12190-020-01323-w

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