@Article{IJNAM-20-4,
author = {Rim, Aldbaissy and Nancy, Chalhoub and K., J., Djoko and Toni, Sayah},
title = {Full Discretisation of the Time Dependent Navier-Stokes Equations with Anisotropic Slip Boundary Condition},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2023},
volume = {20},
number = {4},
pages = {497--517},
abstract = {<p style="text-align: justify;">In this work, we study theoretically and numerically the non-stationary Navier-Stokes’s equations under power law slip boundary condition. We establish existence of a unique
solution by using a semi-discretization in time combined with the weak convergence approach.
Next, we formulate and analyze the discretization in time and the finite element approximation
in space associated to the continuous problem. We derive optimal convergence in time and space
provided that the solution is regular enough on the slip zone. Iterative schemes for solving the
nonlinear problems is formulated and convergence is studied. Numerical experiments presented
confirm the theoretical findings.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2023-1021},
url = {https://global-sci.com/article/82903/full-discretisation-of-the-time-dependent-navier-stokes-equations-with-anisotropic-slip-boundary-condition}
}