A quadrature formula for integrals with nearby singularities

Tsamasphyros, G; Theotokoglou, EE

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Theotokoglou, EE	en
dc.date.accessioned	2014-03-01T01:23:30Z
dc.date.available	2014-03-01T01:23:30Z
dc.date.issued	2006	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16984
dc.subject	Boundary element method	en
dc.subject	Elasticity	en
dc.subject	Error estimation	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	Boundary element method	en
dc.subject.other	Elasticity	en
dc.subject.other	Errors	en
dc.subject.other	Estimation	en
dc.subject.other	Integral equations	en
dc.subject.other	Interpolation	en
dc.subject.other	Polynomials	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	Integration	en
dc.subject.other	Boundary element method	en
dc.subject.other	Elasticity	en
dc.subject.other	Errors	en
dc.subject.other	Estimation	en
dc.subject.other	Integral equations	en
dc.subject.other	Integration	en
dc.subject.other	Interpolation	en
dc.subject.other	Polynomials	en
dc.title	A quadrature formula for integrals with nearby singularities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1649	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1649	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The purpose of this paper is to propose a new quadrature formula for integrals with nearby singularities. In the boundary element method, the integrands of nearby singular boundary integrals vary drastically with the distance between the field and the source point. Especially, field variables and their derivatives at a field point near a boundary cannot be computed accurately. In the present paper a quadrature formula for e-isolated singularities near the integration interval, based on Lagrange interpolatory polynomials, is obtained. The error estimation of the proposed formula is also given. Quadrature formulas for regular and singular integrals with conjugate poles are derived. Numerical examples are given and the proposed quadrature rules present the expected polynomial accuracy. Copyright (c) 2006 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1649	en
dc.identifier.isi	ISI:000239878000003	en
dc.identifier.volume	67	en
dc.identifier.issue	8	en
dc.identifier.spage	1082	en
dc.identifier.epage	1093	en