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Potential field based geometric modelling using the method of fundamental solutions

dc.contributor.authorTankelevich, R.en
dc.contributor.authorFairweather, G.en
dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorSmyrlis, Yiorgos-Sokratisen
dc.creatorTankelevich, R.en
dc.creatorFairweather, G.en
dc.creatorKarageorghis, Andreasen
dc.creatorSmyrlis, Yiorgos-Sokratisen
dc.date.accessioned2019-12-02T10:38:29Z
dc.date.available2019-12-02T10:38:29Z
dc.date.issued2006
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57679
dc.description.abstractWe propose a new geometric modelling method based on the so-called potential field (PF) modelling technique. The harmonic problem associated with this technique is solved numerically using the method of fundamental solutions (MFS). We investigate the applicability of the proposed approach to parametrically defined curves of varying complexity. Based on the MFS, we also provide definitions of the Boolean operations associated with the geometric modelling. Finally, we give practical applications of the method to computer-aided design and manufacturing problems. Copyright 2006 John Wiley & Sons, Ltd.en
dc.sourceInternational Journal for Numerical Methods in Engineeringen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33845926030&doi=10.1002%2fnme.1763&partnerID=40&md5=eabfdf730b8415727dd0355b41cffdf5
dc.subjectMathematical modelsen
dc.subjectComputational complexityen
dc.subjectNumerical methodsen
dc.subjectBoolean functionsen
dc.subjectComputer aided designen
dc.subjectComputational geometryen
dc.subjectMethod of fundamental solutionsen
dc.subjectPotential field methoden
dc.subjectComputer-aided design (CAD)en
dc.subjectComputer-aided geometric modellingen
dc.subjectEquipotential curvesen
dc.subjectImplicit geometric modellingen
dc.subjectLevel setsen
dc.titlePotential field based geometric modelling using the method of fundamental solutionsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1002/nme.1763
dc.description.volume68
dc.description.issue12
dc.description.startingpage1257
dc.description.endingpage1280
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 :18</p>en
dc.source.abbreviationInt J Numer Methods Engen
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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