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

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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


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