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Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems

dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorSmyrlis, Yiorgos-Sokratisen
dc.creatorKarageorghis, Andreasen
dc.creatorSmyrlis, Yiorgos-Sokratisen
dc.date.accessioned2019-12-02T10:36:12Z
dc.date.available2019-12-02T10:36:12Z
dc.date.issued2008
dc.identifier.issn0010-485X
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57086
dc.description.abstractIn this work, we use conformal mapping to transform harmonic Dirichlet problems of Laplace's equation which are defined in simply-connected domains into harmonic Dirichlet problems that are defined in the unit disk. We then solve the resulting harmonic Dirichlet problems efficiently using the method of fundamental solutions (MFS) in conjunction with fast fourier transforms (FFTs). This technique is extended to harmonic Dirichlet problems in doubly-connected domains which are now mapped onto annular domains. The solution of the resulting harmonic Dirichlet problems can be carried out equally efficiently using the MFS with FFTs. Several numerical examples are presented. © 2008 Springer-Verlag.en
dc.sourceComputing (Vienna/New York)en
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-52349122722&doi=10.1007%2fs00607-008-0012-9&partnerID=40&md5=47377330600c2b68d141ac1265e0be6c
dc.subjectDifferential equationsen
dc.subjectMathematical transformationsen
dc.subjectDirichlet problemsen
dc.subjectConformal mappingen
dc.subjectBoundary value problemsen
dc.subjectBoundary conditionsen
dc.subjectSolutionsen
dc.subjectHarmonic analysisen
dc.subjectFourier transformsen
dc.subjectInitial value problemsen
dc.subjectMethod of fundamental solutionsen
dc.subjectLaplace transformsen
dc.subjectLaplace equationen
dc.subjectFast Fourier transformsen
dc.subjectCirculant matricesen
dc.subjectConnected domainsen
dc.subjectDirichlet boundary-value problemsen
dc.subjectLaplace's equationsen
dc.subjectNumerical examplesen
dc.titleConformal mapping for the efficient MFS solution of Dirichlet boundary value problemsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1007/s00607-008-0012-9
dc.description.volume83
dc.description.issue1
dc.description.startingpage1
dc.description.endingpage24
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 :3</p>en
dc.source.abbreviationComput Vienna New Yorken
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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