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Published in 2021 at "Computational Geosciences"
DOI: 10.1007/s10596-021-10048-z
Abstract: The Stokes-Brinkman equations model fluid flow in highly heterogeneous porous media. In this paper, we consider the numerical solution of the Stokes-Brinkman equations with stochastic permeabilities, where the permeabilities in subdomains are assumed to be…
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Keywords:
application adaptive;
stokes brinkman;
reduced basis;
adaptive anova ... See more keywords
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Published in 2023 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2023016
Abstract: The steady state Stokes-Brinkman equations in a thin tube structure is considered. The Brinkman term differs from zero only in small balls near the ends of the tubes. The boundary conditions are: given pressure at…
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Keywords:
pressure;
stokes brinkman;
thin tube;
boundary conditions ... See more keywords
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Published in 2019 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/drz053
Abstract: This work proposes and analyzes a residual a posteriori error estimator for the Multiscale Hybrid-Mixed (MHM) method for the Stokes and Brinkman equations. The error estimator relies on the multi-level structure of the MHM method…
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Keywords:
brinkman equations;
stokes brinkman;
estimator;
posteriori error ... See more keywords