@Article{NMTMA-17-956,
author = {Wang , Xiaojuan and Xie , Xiaoping},
title = {Robust Globally Divergence-Free Weak Galerkin Methods for Stationary Incompressible Convective Brinkman-Forchheimer Equations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2024},
volume = {17},
number = {4},
pages = {956--995},
abstract = {<p style="text-align: justify;">This paper develops a class of robust weak Galerkin methods for stationary incompressible convective Brinkman-Forchheimer equations. The methods
adopt piecewise polynomials of degrees $m (m ≥ 1)$ and $m−1$ respectively for the
approximations of velocity and pressure variables inside the elements and piecewise
polynomials of degrees $k $$(k=m−1, m),$ and $m$ respectively for their numerical
traces on the interfaces of elements, and are shown to yield globally divergence-free
velocity approximation. Existence and uniqueness results for the discrete schemes,
as well as optimal a priori error estimates, are established. A convergent linearized
iterative algorithm is also presented. Numerical experiments are provided to verify
the performance of the proposed methods.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2024-0007},
url = {http://global-sci.org/intro/article_detail/nmtma/23648.html}
}