@Article{IJNAM-21-4,
author = {Kai, He and Junjie, Chen and Zhang, Li and Ran, Maohua},
title = {A Stabilizer-Free Weak Galerkin Finite Element Method for the Darcy-Stokes Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {4},
pages = {459--475},
abstract = {<p style="text-align: justify;">In this paper, we propose a new method for the Darcy-Stokes equations based on
the stabilizer-free weak Galerkin finite element method. In the proposed method, we remove the
stabilizer term by increasing the degree of polynomial approximation space of the weak gradient
operator. Compared with the classical weak Galerkin finite element method, it will not increase
the size of global stiffness matrix. We show that the new algorithm not only has a simpler formula,
but also reduces the computational complexity. Optimal order error estimates are established for
the corresponding numerical approximation in various norms. Finally, we numerically illustrate
the accuracy and convergence of this method.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1018},
url = {https://global-sci.com/article/91065/a-stabilizer-free-weak-galerkin-finite-element-method-for-the-darcy-stokes-equations}
}