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A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains

dc.contributor.authorTsangaris, Then
dc.contributor.authorSmyrlis, Yiorgos-Sokratisen
dc.contributor.authorKarageorghis, Andreasen
dc.creatorTsangaris, Then
dc.creatorSmyrlis, Yiorgos-Sokratisen
dc.creatorKarageorghis, Andreasen
dc.date.accessioned2019-12-02T10:38:35Z
dc.date.available2019-12-02T10:38:35Z
dc.date.issued2006
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57705
dc.description.abstractIn this work we apply the Method of Fundamental Solutions (MFS) with fixed singularities and boundary collocation to certain axisymmetric harmonic and biharmonic problems. By exploiting the block circulant structure of the coefficient matrices appearing when the MFS is applied to such problems, we develop efficient matrix decomposition algorithms for their solution. The algorithms are tested on several examples. © 2006 Springer Science+Business Media, Inc.en
dc.sourceJournal of Scientific Computingen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33746594581&doi=10.1007%2fs10915-005-9006-3&partnerID=40&md5=8592ccd67f679d02a19a08964df6c9e4
dc.subjectProblem solvingen
dc.subjectAlgorithmsen
dc.subjectMatrix algebraen
dc.subjectHarmonic analysisen
dc.subjectMethod of fundamental solutionsen
dc.subjectLaplace transformsen
dc.subjectLaplace equationen
dc.subjectBiharmonic equationen
dc.subjectFast Fourier transformsen
dc.subjectCirculant matricesen
dc.subjectMethod of fundamental solutions (MFS)en
dc.subjectFast Fourier transformen
dc.subjectHollow axisymmetric domainsen
dc.titleA matrix decomposition MFS algorithm for problems in hollow axisymmetric domainsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1007/s10915-005-9006-3
dc.description.volume28
dc.description.issue1
dc.description.startingpage31
dc.description.endingpage50
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :7</p>en
dc.source.abbreviationJ.Sci.Comput.en
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.contributor.orcidSmyrlis, Yiorgos-Sokratis [0000-0001-9126-2441]
dc.gnosis.orcid0000-0002-8399-6880|0000-0001-9126-2441


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