TY - JOUR
T1 - The Weak Galerkin Finite Element Method for the Dual-Porosity-Stokes Model
AU - Yang , Lin
AU - Mu , Wei
AU - Peng , Hui
AU - Wang , Xiuli
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 587
EP - 608
PY - 2024
DA - 2024/06
SN - 21
DO - http://doi.org/10.4208/ijnam2024-1023
UR - https://global-sci.org/intro/article_detail/ijnam/23203.html
KW - Dual-porosity-Stokes model, weak Galerkin finite element method, discrete weak gradient, discrete weak divergence.
AB - <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>