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A posteriori error estimates for the Brinkman–Darcy–Forchheimer problem

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Abstract

In this paper, we study the a posteriori error estimate corresponding to the Brinkman–Darcy–Forchheimer problem. We introduce the variational formulation discretized by using the finite element method. Then, we establish an a posteriori error estimation with two types of error indicators related to the discretization and to the linearization. Finally, numerical investigations are shown and discussed.

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Authors and Affiliations

  1. Laboratoire de “Mathématiques et applications”, Unité de recherche “Mathématoqies et Modélisation”, CAR, Faculté des sciences, Université Saint-Joseph, Beirut, Lebanon

    Toni Sayah

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  1. Toni Sayah
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Correspondence to Toni Sayah.

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Communicated by Abimael Loula.

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Sayah, T. A posteriori error estimates for the Brinkman–Darcy–Forchheimer problem. Comp. Appl. Math. 40, 256 (2021). https://doi.org/10.1007/s40314-021-01647-8

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  • DOI: https://doi.org/10.1007/s40314-021-01647-8

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