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Analysis of finite element methods for the Brinkman problem

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Systems Analysis, Helsinki University of Technology (TKK), P.O. Box 1100, 02015, Espoo, Finland

    Mika Juntunen & Rolf Stenberg

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  1. Mika Juntunen
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  2. Rolf Stenberg
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Correspondence to Rolf Stenberg.

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Juntunen, M., Stenberg, R. Analysis of finite element methods for the Brinkman problem. Calcolo 47, 129–147 (2010). https://doi.org/10.1007/s10092-009-0017-6

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  • DOI: https://doi.org/10.1007/s10092-009-0017-6

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