An adaptive element division algorithm for accurate evaluation of singular and near singular integrals in 3D

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dc.authorscopusid56508352600
dc.authorscopusid15831218000
dc.authorscopusid8514029100
dc.contributor.authorBayindir,H.
dc.contributor.authorBaranoğlu,B.
dc.contributor.authorYazici,A.
dc.contributor.otherSoftware Engineering
dc.contributor.otherManufacturing Engineering
dc.date.accessioned2024-07-05T15:46:04Z
dc.date.available2024-07-05T15:46:04Z
dc.date.issued2021
dc.departmentAtılım Universityen_US
dc.department-tempBayindir H., Network Technologies Department, TÜBITAK ULAKBIM, Ankara, Turkey; Baranoğlu B., Metal Forming Center of Excellence, Atılım University, Ankara, Turkey; Yazici A., Department of Software Engineering, Faculty of Engineering, Atılım University, Ankara, Turkeyen_US
dc.description.abstractAn adaptive algorithm for evaluation of singular and near singular integrals in 3D is presented. The algorithm is based on successive adaptive/selective subdivisions of the element until a prescribed error criteria is met. For evaluating the integrals in each subdivision, Gauss quadrature is applied. The method is computationally simple, memory efficient and can be applied for both triangular and quadrilateral elements, including the elements with nonplanar and/or curved surfaces. To assess the method, several examples are discussed. It has shown that the algorithm performs well for singular and near-singular integral examples presented in the paper and evaluates the integrals with very high accuracy. © TÜBİTAKen_US
dc.identifier.citation0
dc.identifier.doi10.3906/ELK-1911-57
dc.identifier.endpage1206en_US
dc.identifier.issn1300-0632
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85104787770
dc.identifier.scopusqualityQ3
dc.identifier.startpage1187en_US
dc.identifier.urihttps://doi.org/10.3906/ELK-1911-57
dc.identifier.urihttps://hdl.handle.net/20.500.14411/4011
dc.identifier.volume29en_US
dc.identifier.wosqualityQ4
dc.institutionauthorYazıcı, Ali
dc.institutionauthorBaranoğlu, Besim
dc.language.isoenen_US
dc.publisherTurkiye Kliniklerien_US
dc.relation.ispartofTurkish Journal of Electrical Engineering and Computer Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject3Den_US
dc.subjectBoundary element methoden_US
dc.subjectNear-singular integralen_US
dc.subjectTriangular elementsen_US
dc.titleAn adaptive element division algorithm for accurate evaluation of singular and near singular integrals in 3Den_US
dc.typeArticleen_US
dspace.entity.typePublication
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