Resolution of Brinkman Equations with a New Boundary Condition by Using Mixed Finite Element Method

  • Omar El MouteaEmail author
  • Hassan El Amri
  • Abdeslam Elakkad
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1076)


This paper considers numerical methods for solving Brinkman equations with a new boundary condition summing Dirichlet and Neumann conditions. We develop here a robust stabilized mixed finite element method (MFEM), and two types of a posteriori error indicator are introduced to give global error estimates; there are equivalent to the true error. We present numerical simulations.


Brinkman equations \( C_{a, \mu ^{*}} \) boundary Mixed finite element methods Residual error estimator Numerical simulations 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Omar El Moutea
    • 1
    Email author
  • Hassan El Amri
    • 1
    • 2
  • Abdeslam Elakkad
    • 2
  1. 1.Laboratory of Mathematics and ApplicationsENS - Hassan II UniversityCasablancaMorocco
  2. 2.Centre Régional des Métiers d’Education et de Formation (CRMEF)FesMorocco

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