@Article{CiCP-5-498,
author = {E. Burman and B. Stamm},
title = {Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {498--514},
abstract = {<p style="text-align: justify;">We extend the results on minimal stabilization of Burmanand Stamm [J. Sci. Comp., 33 (2007), pp. 183-208] to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum. Stability in the form of a discrete inf-sup condition is proved and optimal convergence follows. Some numerical examples using high order approximation spaces illustrate the theory.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7746.html}
}