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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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)

Název v anglickém jazyce

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

Popis výsledku anglicky

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)

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

1872-7166

Svazek periodika

166

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

17

Strana od-do

266-282

Kód UT WoS článku

000483333300017

EID výsledku v databázi Scopus

2-s2.0-85067204736