@Article{AAMM-18-348,
author = {Liu , ShichengMeng , Xiangyun and Zhai , Qilong},
title = {Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {18},
number = {1},
pages = {348--368},
abstract = {<p style="text-align: justify;">In this paper, we propose a weak Galerkin finite element method (WG) for solving singularly perturbed convection-diffusion problems on a Bakhvalov-type mesh in 2D. Our method is flexible and allows the use of discontinuous approximation functions on the mesh. An error estimate is developed in a suitable norm, and the optimal convergence order is obtained. Finally, numerical experiments are conducted to support the theory and to demonstrate the efficiency of the proposed method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2024-0150},
url = {http://global-sci.org/intro/article_detail/aamm/24530.html}
}