Fast Fourier-boundary element method for axisymmetric potential and elasticity problems with arbitrary boundary conditions

Provatidis, C

dc.contributor.author	Provatidis, C	en
dc.date.accessioned	2014-03-01T01:14:18Z
dc.date.available	2014-03-01T01:14:18Z
dc.date.issued	1999	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12984
dc.subject	Boundary Condition	en
dc.subject	Boundary Element	en
dc.subject	Boundary Element Method	en
dc.subject	Fundamental Solution	en
dc.subject	Fast Fourier Transform	en
dc.subject	Time Domain	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Computational methods	en
dc.subject.other	Elasticity	en
dc.subject.other	Fast Fourier transforms	en
dc.subject.other	Frequency domain analysis	en
dc.subject.other	Numerical methods	en
dc.subject.other	Time domain analysis	en
dc.subject.other	Elastodynamics	en
dc.subject.other	Boundary value problems	en
dc.title	Fast Fourier-boundary element method for axisymmetric potential and elasticity problems with arbitrary boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660050407	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660050407	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	This paper presents a new methodology, based on the Fast Fourier Transform (FFT), to solve axisymmetric potential and elasticity problems with arbitrary (non-axisymmetric) boundary conditions using the Boundary Element Method (BEM). The proposed technique is highly effective in cases where a large number of harmonics is required. The new feature concerns the efficient and reliable computation of the axisymmetric fundamental solutions. The methodology is applicable to any type of boundary elements, either continuous or discontinuous, for both direct and indirect BEM formulations. Numerical results are presented for constant boundary elements for typical potential and elasticity problems. Although the method is presented for static problems, it is general and can be applied to a wider class of boundary value axisymmetric problems, such as acoustics and elastodynamics in the frequency or the time domain.	en
heal.publisher	Springer-Verlag GmbH & Company KG, Berlin, Germany	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660050407	en
dc.identifier.isi	ISI:000080293400005	en
dc.identifier.volume	23	en
dc.identifier.issue	3	en
dc.identifier.spage	258	en
dc.identifier.epage	270	en