A Dual–mixed Finite Element Method for the Brinkman Problem

Abstract

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.

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Cite this paper

@inproceedings{Howell2015ADF, title={A Dual–mixed Finite Element Method for the Brinkman Problem}, author={Jason S. Howell and Michael Neilan and Noel J. Walkington}, year={2015} }