Numerical Computations with H(div)-Finite Elements for the Brinkman Problem
Numerical Analysis
2011-10-11 v2
Abstract
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.
Cite
@article{arxiv.1103.5338,
title = {Numerical Computations with H(div)-Finite Elements for the Brinkman Problem},
author = {Juho Könnö and Rolf Stenberg},
journal= {arXiv preprint arXiv:1103.5338},
year = {2011}
}
Comments
Minor clarifications, added references. Reordering of some figures. To appear in Computational Geosciences, final article available at http://www.springerlink.com