Approximation on the hexagonal grid of the Dirichlet problem for Laplace's equation

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dc.contributor.authorDosiyev, Adiguzel A.
dc.contributor.authorCeliker, Emine
dc.date.accessioned2026-02-06T18:53:00Z
dc.date.issued2014
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThe fourth order matching operator on the hexagonal grid is constructed. Its application to the interpolation problem of the numerical solution obtained by hexagonal grid approximation of Laplace's equation on a rectangular domain is investigated. Furthermore, the constructed matching operator is applied to justify a hexagonal version of the combined Block-Grid method for the Dirichlet problem with corner singularity. Numerical examples are illustrated to support the analysis made.
dc.identifier.doi10.1186/1687-2770-2014-73
dc.identifier.issn1687-2770
dc.identifier.orcid0000-0003-4988-7901
dc.identifier.orcid0000-0001-9154-8116
dc.identifier.scopus2-s2.0-84900344807
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/1687-2770-2014-73
dc.identifier.urihttps://hdl.handle.net/11129/15782
dc.identifier.wosWOS:000333623800002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeropen
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectLaplace's equation
dc.subjectDirichlet boundary value problem
dc.subjecthexagonal grids
dc.subjectmatching operator
dc.subjectinterpolation for harmonic functions
dc.subjectsingularity
dc.subjectBlock-Grid method
dc.titleApproximation on the hexagonal grid of the Dirichlet problem for Laplace's equation
dc.typeArticle

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