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- Title
An augmented velocity-vorticity-pressure formulation for the Brinkman equations.
- Authors
Anaya, Verónica; Gatica, Gabriel N.; Mora, David; Ruiz‐Baier, Ricardo
- Abstract
This paper deals with the analysis of a new augmented mixed finite element method in terms of vorticity, velocity, and pressure, for the Brinkman problem with nonstandard boundary conditions. The approach is based on the introduction of Galerkin least-squares terms arising from the constitutive equation relating the aforementioned unknowns and from the incompressibility condition. We show that the resulting augmented bilinear form is continuous and elliptic, which, thanks to the Lax-Milgram theorem, and besides proving the well-posedness of the continuous formulation, ensures the solvability and stability of the Galerkin scheme with any finite element subspace of the continuous space. In particular, Raviart-Thomas elements of any order
- Subjects
AUGMENTED reality; VORTEX motion; PRESSURE; BOUNDARY value problems; MILGRAM experiment; FINITE element method
- Publication
International Journal for Numerical Methods in Fluids, 2015, Vol 79, Issue 3, p109
- ISSN
0271-2091
- Publication type
Article
- DOI
10.1002/fld.4041