Geodesic
A Dual–Mixed Finite Element Method for the Brinkman Problem
Howell, Jason S.1 ; Neilan, Michael2 ; Walkington, Noel J.3
1 Department of Mathematics, College of Charleston, Charleston, SC 29424
2 Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260
3 Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213
The SMAI Journal of computational mathematics, Tome 2 (2016), pp. 1-17

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A mixed variational formulation of the Brinkman problem is presented which is uniformly well–posed for degenerate (vanishing) coefficients under the hypothesis that a generalized Poincaré inequality holds. The construction of finite element schemes which inherit this property is then considered.

Publié le :
DOI : 10.5802/smai-jcm.7
Classification : 65N30, 65N12
Keywords: Brinkman, Stokes, Darcy, mixed methods

Howell, Jason S. 1 ; Neilan, Michael 2 ; Walkington, Noel J. 3

1 Department of Mathematics, College of Charleston, Charleston, SC 29424
2 Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260
3 Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 
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Howell, Jason S.; Neilan, Michael; Walkington, Noel J. A Dual–Mixed Finite Element Method for the Brinkman Problem. The SMAI Journal of computational mathematics, Tome 2 (2016), pp. 1-17. doi: 10.5802/smai-jcm.7

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