A modified Gauss quadrature formula with special integration points for evaluation of Quasi-singular integrals

Theotokoglou, EE; Tsamasphyros, G

dc.contributor.author	Theotokoglou, EE	en
dc.contributor.author	Tsamasphyros, G	en
dc.date.accessioned	2014-03-01T01:23:25Z
dc.date.available	2014-03-01T01:23:25Z
dc.date.issued	2006	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16962
dc.subject	Boundary element method	en
dc.subject	Cauchy type integrals	en
dc.subject	Elasticity	en
dc.subject	Lagrangian interpolation	en
dc.subject	Nearby poles	en
dc.subject	Numerical integration	en
dc.subject	Quadrature formula	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Integration	en
dc.subject.other	Interpolation	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Numerical methods	en
dc.subject.other	Polynomials	en
dc.subject.other	Stresses	en
dc.subject.other	Cauchy type integrals	en
dc.subject.other	Lagrangian interpolation	en
dc.subject.other	Nearby poles	en
dc.subject.other	Numerical integration	en
dc.subject.other	Quadrature formula	en
dc.subject.other	Boundary element method	en
dc.title	A modified Gauss quadrature formula with special integration points for evaluation of Quasi-singular integrals	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.enganabound.2006.05.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.enganabound.2006.05.001	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	It is well known in the boundary element method that integration rules fail when the integrand presents a nearby singularity. This drawback arises when the field point is near the source point, i.e. in the case of a domain with very narrow boundaries or when the field point where we try to calculate stresses or any other field variables, is near the boundaries. In the present paper a quadrature formulas for l isolated singularities near the integration interval, based on ordinary or special Langrange interpolatory polynomials, is obtained. This interpolatory formulas present similarities with known formulas for the numerical evaluation of singular integrals. Quadrature formulas for regular and singular integrals with conjugate poles are also derived. Numerical examples are given and the proposed quadrature rules present the expected polynomial accuracy. (C) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/j.enganabound.2006.05.001	en
dc.identifier.isi	ISI:000241092400004	en
dc.identifier.volume	30	en
dc.identifier.issue	9	en
dc.identifier.spage	758	en
dc.identifier.epage	766	en