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A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits

  • Published:2020-06 Issue: Volume:364 Page:112986
  • 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:

Zhao Lina,Chung Eric,Lam Ming Fai

Funder

Hong Kong RGC

CUHK, Hong Kong

NSFC/RGC Joint Research Scheme, Hong Kong

Publisher

Elsevier BV

Subject

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

Reference43 articles.

1. A robust finite element method for Darcy-Stokes flow;Mardal;SIAM J. Numer. Anal.,2002

2. Computations with finite element methods for the Brinkman problem;Hannukainen;Comput. Geosci.,2011

3. H(div)-Conforming finite elements for the Brinkman problem;Könnö;Math. Models Methods Appl. Sci.,2011

4. Stabilized Crouzeix–Raviart element for the Darcy-Stokes problem;Burman;Numer. Methods Partial Differential Equations,2005

5. A unified stabilized method for Stokes’ and Darcy’s equations;Burman;J. Comput. Appl. Math.,2007

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1. A discontinuous Galerkin method for the Brinkman–Darcy-transport problem;Journal of Computational and Applied Mathematics;2025-01

2. A discontinuous Galerkin method for a coupled Stokes–Biot problem;Journal of Computational and Applied Mathematics;2024-12

3. The stabilized nonconforming virtual element method for the Darcy–Stokes problem;Communications in Nonlinear Science and Numerical Simulation;2024-11

4. The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits;Mathematics of Computation;2024-08-16

5. A Uniform and Pressure-Robust Enriched Galerkin Method for the Brinkman Equations;Journal of Scientific Computing;2024-03-28
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