A Priori Error Analysis For A Penalty Finite Element Method

  • Umberto Zerbinati (King Abdullah University of Science and Technology (KAUST) (Creator)



Partial differential equations on domains presenting point singularities have always been of interest for applied mathematicians; this interest stems from the difficulty to prove regularity results for non-smooth domains, which has important consequences in the numerical solution of partial differential equations. In my thesis I address those consequences in the case of conforming and penalty finite element methods. The main results here contained concerns a priori error estimates for conforming and penalty finite element methods with respect to the energy norm, the $\mathcal{L}^2(\Omega)$ norm in both the standard and weighted setting.
Date made available2022
PublisherKAUST Research Repository

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