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Multiscale hybrid-mixed method for the Stokes and Brinkman equations—The method

  • Published:2017-09 Issue: Volume:324 Page:29-53
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Araya Rodolfo,Harder Christopher,Poza Abner H.,Valentin Frédéric

Funder

CONICYT/Chile

CNPq/Brazil

MCTI/RNP-Brazil

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference40 articles.

1. Generalized finite element methods: Their performance and their relation to mixed methods;Babuska;SIAM J. Numer. Anal.,1983

2. Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients;Hou;Math. Comp.,1999

3. The heterogeneous multi-scale method for homogenization problems;Weinan,2005

4. Localization of elliptic multiscale problems;Malqvist;Math. Comp.,2014

5. Stabilization techniques and subgrid scales capturing;Brezzi,1997

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1. A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields;International Journal for Numerical Methods in Engineering;2023-10-03

2. Mixed Isogeometric Analysis of the Brinkman Equation;Mathematics;2023-06-17

3. A polytopal method for the Brinkman problem robust in all regimes;Computer Methods in Applied Mechanics and Engineering;2023-05

4. Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions;Journal of Computational and Applied Mathematics;2023-05

5. Recursive formulation and parallel implementation of multiscale mixed methods;Journal of Computational Physics;2023-01
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