On the use of divergence balanced H(div)-L2 pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes–Darcy and Brinkman problems-Reference-Cited by-同舟云学术

On the use of divergence balanced H(div)-L2 pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes–Darcy and Brinkman problems

Published:2020-04 Issue: Volume:170 Page:51-78
ISSN:0378-4754
Container-title:Mathematics and Computers in Simulation
language:en
Short-container-title:Mathematics and Computers in Simulation

Author:

Carvalho Pablo G.S.,Devloo Philippe R.B.^ORCID,Gomes Sônia M.

Funder

CAPES — Brazilian Federal Agency for Post-graduate Education

CNPq — the Brazilian Research Council

FAPESP — Research Foundation of the State of São Paulo, Brazil

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference47 articles.

1. Unified analysis of discontinuous Galerkin methods for elliptic problems;Arnold;SIAM J. Numer. Anal.,2002

2. Boundary conditions at a naturally permeable wall;Beavers;J. Fluid Mech.,1967

3. A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits;Botti;Comput. Methods Appl. Mech. Engrg.,2018

4. Two families of mixed finite elements for second order elliptic problems;Brezzi;Numer. Math.,1985

5. Mixed and Hybrid Finite Element Methods;Brezzi,1991

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