Boundary element method for nonlinear problems

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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 http://hdl.handle.net/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

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