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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation
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A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation

机译：A Priori and a Posteriori Error Estimates of a WOPSIP DG Method for the Heat Equation

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摘要

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.

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