@Article{IJNAM-21-587,
author = {Yang , LinMu , WeiPeng , Hui and Wang , Xiuli},
title = {The Weak Galerkin Finite Element Method for the Dual-Porosity-Stokes Model},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {4},
pages = {587--608},
abstract = {<p style="text-align: justify;">In this paper, we introduce a weak Galerkin finite element method for the dual-porosity-Stokes model. The dual-porosity-Stokes model couples the dual-porosity equations with
the Stokes equations through four interface conditions. In this method, we define several weak
Galerkin finite element spaces and weak differential operators. We provide the weak Galerkin
scheme for the model, and establish the well-posedness of the numerical scheme. The optimal
convergence orders of errors in the energy norm are derived. Finally, we verify the effectiveness of
the numerical method with different weak Galerkin elements on different meshes.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1023},
url = {http://global-sci.org/intro/article_detail/ijnam/23203.html}
}