Analysis of finite element methods for the Brinkman problem

Author: Juntunen Mika  

Publisher: Springer Publishing Company

ISSN: 0008-0624

Source: CALCOLO, Vol.47, Iss.3, 2010-09, pp. : 129-147

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Abstract

The parameter dependent Brinkman problem, covering a field of problems from the Darcy equations to the Stokes problem, is studied. A mathematical framework is introduced for analyzing the problem. Using this uniform a priori and a posteriori estimates for two families of finite element methods are proved. Nitsche's method for imposing boundary conditions is discussed.