@Article{IJNAM-21-315,
author = {Oliveira , Hermenegildo Borges De and Lopes , Nuno David},
title = {Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {3},
pages = {315--352},
abstract = {<p style="text-align: justify;">In this work, a stationary 2d Navier-Stokes problem with nonlinear feedback forces
field is considered in the stream-function formulation. We use the Continuous/Discontinuous Finite Element Method (CD-FEM), with interior penalty terms, to numerically solve the associated
boundary-value problem. For the associated continuous and discrete problems, we prove the existence of weak solutions and establish the conditions for their uniqueness. Consistency, stability
and convergence of the method are also shown analytically. To validate the numerical model
regarding its applicability and robustness, several test cases are carried out.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1013},
url = {http://global-sci.org/intro/article_detail/ijnam/23127.html}
}