TY - JOUR
T1 - Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations
JO - Communications in Computational Physics
VL - 2-4
SP - 498
EP - 514
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7746.html
KW - 
AB - <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>