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Numerical computations with H(div)-finite elements for the Brinkman problem

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The H(div)-conforming approach for the Brinkman equation is studied numerically, verifying the theoretical a priori and a posteriori analysis in Könnö and Stenberg (2010; Math Models Methods Appl Sci, 2011). Furthermore, the results are extended to cover a non-constant permeability. A hybridization technique for the problem is presented, complete with a convergence analysis and numerical verification. Finally, the numerical convergence studies are complemented with numerical examples of applications to domain decomposition and adaptive mesh refinement.

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Authors and Affiliations

  1. Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, 00076 AALTO, Espoo, Finland

    Juho Könnö & Rolf Stenberg

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  1. Juho Könnö
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  2. Rolf Stenberg
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Correspondence to Juho Könnö.

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Könnö, J., Stenberg, R. Numerical computations with H(div)-finite elements for the Brinkman problem. Comput Geosci 16, 139–158 (2012). https://doi.org/10.1007/s10596-011-9259-x

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