Abstract

We present an a posteriori error analysis of the fully discretized time-dependent Darcy and Stokes equations, that models laminar fluid flow over a porous medium in two- or three-dimensional connected open domains which are coupled via appropriate matching conditions on the interface. The problem is discretized by the backward Euler scheme in time and finite elements in space.

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Year of Publication
2018
Journal
Computers & Mathematics with Applications
Volume
76
Start Page
340-360
Issue
2
Number of Pages
20
Date Published
15/7/2018
Type of Article
Original research article
URL
https://www.sciencedirect.com/science/article/pii/S0898122118302190?ref=pdf_download&fr=RR-2&rr=8e37e00259267896
DOI
https://doi.org/10.1016/j.camwa.2018.04.021
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A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations

Assistant professor of Mathematics

Citation: 1.Bernardi AOC. A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations. Computers & Mathematics with Applications. 2018;76(2):20. doi:https://doi.org/10.1016/j.camwa.2018.04.021

In: Computers & Mathematics with Applications

Published by: Christine Bernardi, Ajmia Younes Orfi , 2018

2018.pdf (591.6 KB)

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