On the selection of collocation points for the numerical solution of singular integral equations with generalized kernels appearing in elasticity problems

Ioakimidis, NI; Theocaris, PS

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:50Z
dc.date.available	2014-03-01T01:05:50Z
dc.date.issued	1980	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9028
dc.subject	Numerical Solution	en
dc.subject	Singular Integral Equation	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.title	On the selection of collocation points for the numerical solution of singular integral equations with generalized kernels appearing in elasticity problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7949(80)90079-6	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7949(80)90079-6	en
heal.language	English	en
heal.publicationDate	1980	en
heal.abstract	A modification of the collocation method for the numerical solution of Cauchy type singular integral equations with generalized kernels is proposed. In accordance with this modification, although the abscissas and weights used in the numerical integration rule for the approximation of the integrals of the integral equation remain unaltered, yet the collocation points are selected in such a way that the poles of the integrands due not only to the Cauchy principal value part of the kernel, but also to the singularities of the generalized part of the kernel are taken into account. This modification assures the convergence of the method to the correct results since the error terms, usually neglected for the collocation points nearest to the end-points of the integration interval and generally tending to infinity, are now taken into consideration for the selection of the collocation points. The method was applied to the singular integral equations derived for the antiplane and plane elasticity problems of a crack terminating at a bimaterial interface. © 1980.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/0045-7949(80)90079-6	en
dc.identifier.isi	ISI:A1980JV50500005	en
dc.identifier.volume	11	en
dc.identifier.issue	4	en
dc.identifier.spage	289	en
dc.identifier.epage	295	en