Cauchy-type integrals and integral equations with logarithmic singularities

Theocaris, PS; Chrysakis, AC; Ioakimidis, NI

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Chrysakis, AC	en
dc.contributor.author	Ioakimidis, NI	en
dc.date.accessioned	2014-03-01T01:05:44Z
dc.date.available	2014-03-01T01:05:44Z
dc.date.issued	1979	en
dc.identifier.issn	0022-0833	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8954
dc.subject	Integral Equation	en
dc.subject	Weight Function	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	ELASTICITY	en
dc.subject.other	MATERIALS - Crack Propagation	en
dc.subject.other	CAUCHY-TYPE INTEGRALS	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	Cauchy-type integrals and integral equations with logarithmic singularities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00042797	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00042797	en
heal.language	English	en
heal.publicationDate	1979	en
heal.abstract	The Gauss-type quadrature methods with a logarithmic weight function can be extended to the evaluation of Cauchy-type integrals and to the solution of Cauchy-type integral equations by reduction of the latter to a linear system of algebraic equations. This system is obtained by applying the integral equation at properly selected collocation points. The poles of the integrand lying in the integration interval were treated as lying outside this interval. The efficiency of the method, both in evaluating integrals and solving integral equations, is exhibited by a numerical example. Finally, an application of the method to a crack problem of plane elasticity is made. © 1979 Sijthoff & Noordhoff International Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Journal of Engineering Mathematics	en
dc.identifier.doi	10.1007/BF00042797	en
dc.identifier.isi	ISI:A1979GM06100006	en
dc.identifier.volume	13	en
dc.identifier.issue	1	en
dc.identifier.spage	63	en
dc.identifier.epage	74	en