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dc.contributor.authorBernardi, C.en
dc.contributor.authorKarageorghis, Andreasen
dc.creatorBernardi, C.en
dc.creatorKarageorghis, Andreasen
dc.description.abstractThis paper is devoted to the spectral element discretization of the Laplace equation in a disk when provided with discontinuous boundary data. Relying on an appropriate variational formulation, we propose a discrete problem and prove its convergence. The use of weighted Sobolev spaces to treat the discontinuity of the boundary conditions also allows for improving the order of convergence. The results of the numerical experiments we present are in agreement with the theoretical ones.en
dc.sourceSIAM Journal on Numerical Analysisen
dc.subjectCircular driven cavityen
dc.subjectSpectral element methodsen
dc.titleSpectral element discretization of the circular driven cavity, part I: The Laplace equationen
dc.description.endingpage1465Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied SciencesΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.description.notes<p>Cited By :3</p>en
dc.source.abbreviationSIAM J Numer Analen
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]

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