@Article{AAMM-10-2,
author = {Younes, Orfi, Ajmia and Yakoubi, Driss},
title = {A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {2},
pages = {301--321},
abstract = {<p style="text-align: justify;">We consider the time dependent Darcy problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian domain. We propose a discretization of these equations in the case of general solution. This discretization relies on a backward Euler&#39;s scheme for the time variable and finite elements for the space variables. We prove a priori error estimates both for the time steps and the meshes.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0055},
url = {https://global-sci.com/article/73176/a-priori-error-analysis-of-an-euler-implicit-finite-element-approximation-of-the-unsteady-darcy-problem-in-an-axisymmetric-domain}
}