TY - JOUR
T1 - Convergence and Quasi-Optimality of an Adaptive Multi-Penalty Discontinuous Galerkin Method
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 51
EP - 86
PY - 2016
DA - 2016/09
SN - 9
DO - http://doi.org/10.4208/nmtma.2015.m1412
UR - https://global-sci.org/intro/article_detail/nmtma/12367.html
KW - 
AB - <p style="text-align: justify;">An adaptive multi-penalty discontinuous Galerkin method (AMPDG) for
the diffusion problem is considered. Convergence and quasi-optimality of the AMPDG
are proved. Compared with the analyses for the adaptive finite element method
or the adaptive interior penalty discontinuous Galerkin method, extra works is done to overcome the difficulties caused by the additional penalty terms.</p>