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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… Click to show full abstract
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.
Keywords:
error;
method;
heat equation;
error estimates;
posteriori error
Journal Title: Mathematical Problems in Engineering
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematical Problems in Engineering
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!