@Article{EAJAM-15-29,
author = {Zhao , JingjunLv , Zhiqiang and Xu , Yang},
title = {A Weak Galerkin Method for the Coupled Darcy-Stokes Problem with a Nonstandard Transmission Condition on the Stokes Boundary},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {1},
pages = {29--52},
abstract = {<p style="text-align: justify;">In this paper, we study a coupled problem of Darcy’s law and Stokes equation
with nonlinear slip boundary conditions. We derive a variational inequality for the coupled problem in detail. Then we introduce and analyze a weak Galerkin method to solve
the coupled problem numerically. Under proper regularity assumptions, we obtain the
optimal error estimate $\mathscr{O}(h)$ in newly defined $h$-norms. Finally, we give some numerical
results to support the theoretical conclusions.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2023-034.260923 },
url = {http://global-sci.org/intro/article_detail/eajam/23740.html}
}