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A singular function boundary integral method for laplacian problems with boundary singularities

dc.contributor.authorXenophontos, Christos A.en
dc.contributor.authorElliotis, Miltiades C.en
dc.contributor.authorGeorqiou, Georgios E.en
dc.creatorXenophontos, Christos A.en
dc.creatorElliotis, Miltiades C.en
dc.creatorGeorqiou, Georgios E.en
dc.date.accessioned2019-12-02T10:38:52Z
dc.date.available2019-12-02T10:38:52Z
dc.date.issued2006
dc.identifier.issn1064-8275
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57781
dc.description.abstractA singular function boundary integral method for Laplacian problems with boundary singularities is analyzed. In this method, the solution is approximated by the truncated asymptotic expansion for the solution near the singular point and the Dirichlet boundary conditions are weakly enforced by means of Lagrange multiplier functions. The resulting discrete problem is posed and solved on the boundary of the domain, away from the point of singularity. The main result of this paper is the proof of convergence of the methoden
dc.description.abstractin particular, we show that the method approximates the generalized stress intensity factors, i.e., the coefficients in the asymptotic expansion, at an exponential rate. A numerical example illustrating the convergence of the method is also presented. © 2006 Society for Industrial and Applied Mathematics.en
dc.sourceSIAM Journal on Scientific Computingen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33846824036&doi=10.1137%2f050622742&partnerID=40&md5=c903f4cb1ecc52d5fc5a658848d682b7
dc.subjectProblem solvingen
dc.subjectApproximation theoryen
dc.subjectIntegral equationsen
dc.subjectFunctionsen
dc.subjectConvergence of numerical methodsen
dc.subjectBoundary conditionsen
dc.subjectLagrange multipliersen
dc.subjectLaplace equationen
dc.subjectStress intensity factorsen
dc.subjectBoundary singularitiesen
dc.subjectBoundary approximation methodsen
dc.titleA singular function boundary integral method for laplacian problems with boundary singularitiesen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1137/050622742
dc.description.volume28
dc.description.issue2
dc.description.startingpage517
dc.description.endingpage532
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 :15</p>en
dc.source.abbreviationSiam J.Sci.Comput.en
dc.contributor.orcidElliotis, Miltiades C. [0000-0002-7671-2843]
dc.contributor.orcidXenophontos, Christos A. [0000-0003-0862-3977]
dc.gnosis.orcid0000-0002-7671-2843
dc.gnosis.orcid0000-0003-0862-3977


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