%0 Journal Article
%T A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation
%A Liang
%A Fen
%A Wen
%A Kunwen
%A Zeng
%A Yuping
%A Zhu
%A Huijian
%J -
%D 2020
%R https://doi.org/10.1155/2020/7525676
%X We introduce and analyze a weakly overpenalized symmetric interior penalty method for solving the heat equation. We first provide optimal a priori error estimates in the energy norm for the fully discrete scheme with backward Euler time-stepping. In addition, we apply elliptic reconstruction techniques to derive a posteriori error estimators, which can be used to design adaptive algorithms. Finally, we present two numerical experiments to validate our theoretical analysis
%U https://www.hindawi.com/journals/mpe/2020/7525676/