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A Priori Error Analysis For A Penalty Finite Element Method

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.

Identiferoai:union.ndltd.org:kaust.edu.sa/oai:repository.kaust.edu.sa:10754/676498
Date04 April 2022
CreatorsZerbinati, Umberto
ContributorsBoffi, Daniele, Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division, Zampini, Stefano, Tzavaras, Athanasios, Tempone, Raul
Source SetsKing Abdullah University of Science and Technology
LanguageEnglish
Detected LanguageEnglish
TypeThesis

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