A recurrence formula for the direct solution of singular integral equations

Tsamasphyros, G; Theocaris, PS

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:03Z
dc.date.available	2014-03-01T01:06:03Z
dc.date.issued	1982	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9127
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0020159585&partnerID=40&md5=9480e57d0ca9e042fbfc16cd4c7b4fad	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	ELASTICITY	en
dc.subject.other	MATHEMATICAL TECHNIQUES - INTEGRAL EQUATIONS	en
dc.title	A recurrence formula for the direct solution of singular integral equations	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1982	en
heal.abstract	An iterative method for the solution of singular integral equations is given in this paper by developing a recurrence formula. Discretizing the above formula, by using appropriate quadrature rules, the solution of the singular integral equation is given in an extremely simple form. The number of numerical operations required for such a solution is considerably reduced, when compared to the number of operations required for a classical type of solution. Illustrative examples are given, indicating the efficiency of the method. It is shown that the number of operations in this procedure is only half the number of the operations for a typical numerical method. The convergence of the method is studied in the space of Hölder continuous functions. In the particular case of plane elasticity more efficient bounds are given. In the same case it is proved that the procedure is equivalent to the Schwarz's alternating method and convergence is assured [18]. © 1982.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.isi	ISI:A1982PF14700006	en
dc.identifier.volume	31	en
dc.identifier.issue	1	en
dc.identifier.spage	79	en
dc.identifier.epage	89	en