Meshless Eigenvalue analysis for resonant structures based on the radial point interpolation method

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dc.contributor.authorKaufmann, T.
dc.contributor.authorFumeaux, C.
dc.contributor.authorEngstrom, C.
dc.contributor.authorVahldieck, R.
dc.contributor.conferenceAsia-Pacific Microwave Conference (2009 : Singapore)
dc.date.issued2009
dc.description.abstractMeshless methods are a promising field of numerical methods recently introduced to computational electromagnetics. The potential of conformal and multi-scale modeling and the possibility of dynamic grid refinements are very attractive features that appear more naturally in meshless methods than in classical methods. The Radial Point Interpolation Method (RPIM) uses radial basis functions for the approximation of spatial derivatives. In this publication an eigenvalue solver is introduced for RPIM in electromagnetics. Eigenmodes are calculated on the example of a cylindrical resonant cavity. It is demonstrated that the computed resonance frequencies converge to the analytical values for increasingly fine spatial discretization. The computation of eigenmodes is an important tool to support research on a timedomain implementation of RPIM. It allows a characterization of the method’s accuracy and to investigate stability issues caused by the possible occurrence of non-physical solutions.
dc.description.statementofresponsibilityThomas Kaufmann, Christophe Fumeaux, Christian Engstrom and Ruediger Vahldieck
dc.identifier.citationProceedings of the Asia-Pacific Microwave Conference (APMC 2009), 2009: pp.818-821
dc.identifier.doi10.1109/APMC.2009.5384278
dc.identifier.isbn9781424428021
dc.identifier.orcidFumeaux, C. [0000-0001-6831-7213]
dc.identifier.urihttp://hdl.handle.net/2440/58319
dc.language.isoen
dc.publisherIEEE
dc.publisher.placeUSA
dc.rights©2009 IEEE
dc.source.urihttps://doi.org/10.1109/apmc.2009.5384278
dc.subjectMeshless Methods
dc.subjectEigenvalues and eigenfunctions
dc.subjectRadial Basis Functions
dc.subjectRadial Point Interpolation Method.
dc.titleMeshless Eigenvalue analysis for resonant structures based on the radial point interpolation method
dc.typeConference paper
pubs.publication-statusPublished

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