@Article{EAJAM-15-770,
author = {Liao , Yige and Luo , Xianbing},
title = {Convergence of a Discontinuous Galerkin Method on Bakhvalov-Type Meshes for Singularly Perturbed Volterra Integro-Differential Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {4},
pages = {770--786},
abstract = {<p style="text-align: justify;">A discontinuous Galerkin (DG) method on Bakhvalov-type (B-type) meshes
for singularly perturbed Volterra integro-differential equations (SPVIDEs) is proposed.
We derive abstract error bounds of the DG method for the SPVIDEs in the $L^2$-norm. It is
shown that the approximate solution generated by the DG method on B-type meshes has
optimal convergence rate $k + 1$ in the $L^2$-norm, when using the piecewise polynomial
space of degree $k.$ Numerical simulations demonstrate the validity of the theoretical
results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2024-075.140824},
url = {http://global-sci.org/intro/article_detail/eajam/24196.html}
}