@Article{IJNAM-11-3,
author = {},
title = {Energy Norm Error Estimates for Averaged Discontinuous Galerkin Methods in 1 Dimension},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {3},
pages = {567--586},
abstract = {<p style="text-align: justify;">Numerical solution of one-dimensional elliptic problems is investigated using an averaged discontinuous discretization. The corresponding numerical method can be performed using
the favorable properties of the discontinuous Galerkin (dG) approach, while for the average an
error estimation is obtained in the $H^1$-seminorm. We point out that this average can be regarded
as a lower order modification of the average of a well-known overpenalized symmetric interior
penalty (IP) method. This allows a natural derivation of the overpenalized IP methods.</p>},
issn = {2617-8710},
doi = {https://doi.org/2014-IJNAM-542},
url = {https://global-sci.com/article/83363/energy-norm-error-estimates-for-averaged-discontinuous-galerkin-methods-in-1-dimension}
}