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A Dual–Mixed Finite Element Method for the Brinkman Problem

Jason S. Howell, Michael Neilan, Noel J. Walkington

Source record

Source: Crossref

Published: Sep 4, 2016

DOI: 10.5802/smai-jcm.7

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Source 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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A Dual–Mixed Finite Element Method for the Brinkman Problem — Mathematical Frontier Network