A posteriori error estimates and adaptive mesh refinement for the Stokes–Brinkman problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F19%3A00348311" target="_blank" >RIV/68407700:21220/19:00348311 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.matcom.2019.05.015" target="_blank" >https://doi.org/10.1016/j.matcom.2019.05.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2019.05.015" target="_blank" >10.1016/j.matcom.2019.05.015</a>

Result language
angličtina
Original language name
A posteriori error estimates and adaptive mesh refinement for the Stokes–Brinkman problem
Original language description
The Stokes–Brinkman equations model flow in heterogeneous porous media by combining the Stokes and Darcy models of flow into a single system of equations. With suitable parameters, the equations can model either flow without detailed knowledge of the interface between the two regions. Thus, the Stokes–Brinkman equations provide an alternative to coupled Darcy–Stokes models. After a brief review of the Stokes–Brinkman problem and its discretization using Taylor–Hood finite elements, we present a residual-based a posteriori error estimate and use it to drive an adaptive mesh refinement process. We compare several strategies for the mesh refinement, and demonstrate its effectiveness by numerical experiments in both 2D and 3D. 2019 International Association for Mathematics and Computers in Simulation (IMACS)
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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