@Article{CiCP-5-498, author = {}, 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 = {

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. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7746.html} }