On the condition number of integral equations in linear elasticity using the modified green's function

Argyropoulos, E; Gintides, D; Kiriaki, K

dc.contributor.author	Argyropoulos, E	en
dc.contributor.author	Gintides, D	en
dc.contributor.author	Kiriaki, K	en
dc.date.accessioned	2014-03-01T01:19:21Z
dc.date.available	2014-03-01T01:19:21Z
dc.date.issued	2003	en
dc.identifier.issn	1446-1811	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15443
dc.subject	Boundary Integral Equation	en
dc.subject	Condition Number	en
dc.subject	Fundamental Solution	en
dc.subject	Linear Elasticity	en
dc.subject	Neumann Problem	en
dc.subject	Optimality Condition	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	EXTERIOR	en
dc.title	On the condition number of integral equations in linear elasticity using the modified green's function	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S1446181100008129	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S1446181100008129	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this work the modified Green's function technique for an exterior Dirichlet and Neumann problem in linear elasticity is investigated. We introduce a modification of the fundamental solution in order to remove the lack of uniqueness for the solution of the boundary integral equations describing the problems, and to simultaneously minimise their condition number. In view of this procedure the cases of the sphere and perturbations of the sphere are examined. Numerical results that demonstrate the effect of increasing the number of coefficients in the modification on the optimal condition number are also presented. © Australian Mathematical Society 2003.	en
heal.publisher	AUSTRALIAN MATHEMATICS PUBL ASSOC INC	en
heal.journalName	ANZIAM Journal	en
dc.identifier.doi	10.1017/S1446181100008129	en
dc.identifier.isi	ISI:000181742400008	en
dc.identifier.volume	44	en
dc.identifier.issue	3	en
dc.identifier.spage	431	en
dc.identifier.epage	436	en