The BEM for nonhomogeneous bodies

Katsikadelis, JT

dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T02:43:34Z
dc.date.available	2014-03-01T02:43:34Z
dc.date.issued	2005	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31483
dc.subject	Analog equation	en
dc.subject	Boundary element method	en
dc.subject	Meshless	en
dc.subject	Nonhomogeneous bodies	en
dc.subject	Partial differential equations	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Computer software	en
dc.subject.other	Differential equations	en
dc.subject.other	Function evaluation	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Analog equation	en
dc.subject.other	Meshless	en
dc.subject.other	Nonhomogeneous bodies	en
dc.subject.other	Variable coefficients	en
dc.subject.other	Materials science	en
dc.title	The BEM for nonhomogeneous bodies	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1007/s00419-005-0390-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-005-0390-9	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The boundary element method (BEM) is developed for nonhomogeneous bodies. The static or steady-state response of such bodies leads to boundary value problems for partial differential equations (PDEs) of elliptic type with variable coefficients. The conventional BEM can be employed only if the fundamental solution of the governing equation is known or can be established. This is, however, out of question for differential equations with variable coefficients. The presented method uses simple, known fundamental solutions for homogeneous isotropic bodies to establish the integral equation. An additional field function is introduced, which is determined from a supplementary domain integral boundary equation. The latter is converted to a boundary integral by employing a domain meshless technique based on global approximation by radial basis function series. Then the solution is evaluated from its integral representation based on the known fundamental solution. The presented method maintains the pure boundary character of the BEM, since the discretization into elements and the integrations are limited only to the boundary. Without restricting its generality, the method is illustrated for problems described by second-order differential equations. Therefore, the employed fundamental solution is that of the Laplace equation. Several problems are studied. The obtained numerical results demonstrate the effectiveness and accuracy of the method. A significant advantage of the proposed method is that the same computer program is utilized to obtain numerical results regardless of the specific form of the governing differential operator.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-005-0390-9	en
dc.identifier.isi	ISI:000233634700008	en
dc.identifier.volume	74	en
dc.identifier.issue	11-12	en
dc.identifier.spage	780	en
dc.identifier.epage	789	en