Boundary element method for nonlinear problems

Katsikadelis, JT; Nerantzaki, MS

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Nerantzaki, MS	en
dc.date.accessioned	2014-03-01T01:15:17Z
dc.date.available	2014-03-01T01:15:17Z
dc.date.issued	1999	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13414
dc.subject	boundary element	en
dc.subject	nonlinear problems	en
dc.subject	analog equation method	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Differential equations	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Analog equation method	en
dc.subject.other	Collocation points	en
dc.subject.other	Nonlinear problems	en
dc.subject.other	Boundary element method	en
dc.title	Boundary element method for nonlinear problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(98)00093-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(98)00093-9	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this paper a boundary-only boundary element method (BEM) is developed for solving nonlinear problems. The presented method is based on the analog equation method (AEM). According Co this method the nonlinear governing equation is replaced by an equivalent nonhomogeneous linear one with known fundamental solution and under the same boundary conditions. The solution of the substitute equation is obtained as a sum of the homogeneous solution and a particular one of the nonhomogeneous. The nonhomogeneous term, which is an unknown fictitious domain source distribution, is approximated by a truncated series of radial base functions. Then, using BEM the field function and its derivatives involved in the governing equation are expressed in terms of the unknown series coefficients, which are established by collocating the equation at discrete points in the interior of the domain. Thus, the presented method becomes a boundary only method in the sense that only boundary discretization is required. The additional collocation points inside the domain do not spoil the purr BEM character of the method. Numerical results for certain classical nonlinear problems are presented, which validate the effectiveness and the accuracy of the proposed method. (C) 1999 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	Elsevier Science Ltd, Exeter, United Kingdom	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/S0955-7997(98)00093-9	en
dc.identifier.isi	ISI:000079532300002	en
dc.identifier.volume	23	en
dc.identifier.issue	5	en
dc.identifier.spage	365	en
dc.identifier.epage	373	en