Numerical Computations with H(div)-Finite Elements for the Brinkman Problem

Details Numerical Computations with H(div)-Finite Elements for the Brinkman Problem Numerical Computations with H(div)-Finite Elements for the Brinkman Problem

2011-03-28

arxiv.org/abs/1103.5338v2

Mathematics

Numerical Analysis

Minor clarifications, added references. Reordering of some figures. To appear in Computational Geosciences, final article avai

Scientific paper

10.1007/s10596-011-9259-x

The H(div)-conforming approach for the Brinkman equation is studied numerically, verifying the theoretical a priori and a posteriori analysis in previous work of the authors. 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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