@Article{IJNAM-18-6,
author = {Nattaporn, Chuenjarern and Wuttanachamsri, Kanognudge and Yang, Yang},
title = {Stability Analysis and Error Estimates of Local Discontinuous Galerkin Method for Convection-Diffusion Equations on Overlapping Mesh with Non-Periodic Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2021},
volume = {18},
number = {6},
pages = {788--810},
abstract = {<p style="text-align: justify;">A new local discontinuous Galerkin (LDG) method for convection-diffusion equations
on overlapping meshes with periodic boundary conditions was introduced in [14]. With the new
method, the primary variable $u$ and the auxiliary variable $p = u_x$ are solved on different meshes. In
this paper, we will extend the idea to convection-diffusion equations with non-periodic boundary
conditions, i.e. Neumann and Dirichlet boundary conditions. The main difference is to adjust
the boundary cells. Moreover, we study the stability and suboptimal error estimates. Finally,
numerical experiments are given to verify the theoretical findings.</p>},
issn = {2617-8710},
doi = {https://doi.org/2021-IJNAM-19950},
url = {https://global-sci.com/article/83001/stability-analysis-and-error-estimates-of-local-discontinuous-galerkin-method-for-convection-diffusion-equations-on-overlapping-mesh-with-non-periodic-boundary-conditions}
}