On DR/BEM for eigenvalue analysis of 2-D acoustics

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dc.contributor.author Provatidis, CG en
dc.date.accessioned 2014-03-01T11:44:38Z
dc.date.available 2014-03-01T11:44:38Z
dc.date.issued 2004 en
dc.identifier.issn 0178-7675 en
dc.identifier.uri http://hdl.handle.net/123456789/37051
dc.subject Acoustics en
dc.subject Blending-function interpolation en
dc.subject DR/BEM en
dc.subject Eigenvalue problem en
dc.subject Multiquadratics en
dc.subject RBF (radial basis functions) en
dc.subject Thin plate spline en
dc.subject.classification Mathematics, Interdisciplinary Applications en
dc.subject.classification Mechanics en
dc.subject.other Boundary element method en
dc.subject.other Eigenvalues and eigenfunctions en
dc.subject.other Functions en
dc.subject.other Interpolation en
dc.subject.other Problem solving en
dc.subject.other Radial basis function networks en
dc.subject.other Two dimensional en
dc.subject.other Blending-function interpolation en
dc.subject.other Dual reciprocity method (DRM) en
dc.subject.other Eigenvalue problems en
dc.subject.other Multiquadratics en
dc.subject.other Radial basis functions (RBF) en
dc.subject.other Thin plate splines en
dc.subject.other Acoustics en
dc.title On DR/BEM for eigenvalue analysis of 2-D acoustics en
heal.type other en
heal.identifier.primary 10.1007/s00466-004-0600-2 en
heal.identifier.secondary http://dx.doi.org/10.1007/s00466-004-0600-2 en
heal.language English en
heal.publicationDate 2004 en
heal.abstract This paper discusses the efficiency of several DR/BEM formulations and other boundary techniques for the eigenvalue extraction of two-dimensional acoustic cavities. First, the paper shows that the well-known conical radial basis functions lead to extremely ill conditioning results in cases that the height of the cone is not properly chosen. Moreover, the accuracy of other known high-degree basis functions is tested. Second, the use of Pascal's triangle is proposed as a better approximation of the inertial forces at least for the case of rectangular domains. Using Gordon's blending-function formula, a systematic procedure is proposed for the selection of the proper monomials. Third, it is shown that the aforementioned functional set can be also used to establish an alternative boundary-type method where both inertial and static terms are treated in a consistent manner. The solution quality of these formulations is investigated by calculating the eigenvalues of a rectangular and a circular acoustic cavity where analytical solutions are known. en
heal.publisher SPRINGER en
heal.journalName Computational Mechanics en
dc.identifier.doi 10.1007/s00466-004-0600-2 en
dc.identifier.isi ISI:000225523900005 en
dc.identifier.volume 35 en
dc.identifier.issue 1 en
dc.identifier.spage 41 en
dc.identifier.epage 53 en

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