@article{Bao2025, 
author = {Xiaobing Bao and Lei Xu and Yong Zhang},
title = {Supercloseness of the NIPG method on Bakhvalov-type meshes for a system of singularly perturbed reaction-diffusion equations},
year = {2025},
journal = {Networks and Heterogeneous Media},
volume = {20},
number = {4},
pages = {1230-1250},
keywords = {singularly perturbed, the NIPG method, Bakhvalov-type mesh, balanced norm, supercloseness},
url = {https://www.sciopen.com/article/10.3934/nhm.2025053},
doi = {10.3934/nhm.2025053},
abstract = {In this paper, a higher order nonsymmetric interior penalty Galerkin (NIPG) method on a Bakhvalov mesh is developed for a weakly coupled system of singularly perturbed reaction-diffusion equations. At first, by selecting special penalty parameters at different mesh points, the supercloseness of the    k  +      1    2   order of our proposed method is derived, where    k is the degree of polynomials space. Then, an optimal order of uniform convergence analysis in a balanced norm is performed. Finally, some numerical experiments are given to support our theoretical findings.}
}