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dc.contributor.authorGarcia-Castillo L.E.
dc.contributor.authorPardo D.
dc.contributor.authorDemkowicz L.F.
dc.date.accessioned2017-02-21T08:19:30Z
dc.date.available2017-02-21T08:19:30Z
dc.date.issued2008-12-31
dc.identifier.issn0018-9480
dc.identifier.urihttp://hdl.handle.net/20.500.11824/640
dc.description.abstractThe finite-element method (FEM) enables the use of adapted meshes. The simultaneous combination of h (local variations in element size) and p (local variations in the polynomial order of approximation) refinements, i.e., hp-adaptivity, is the most powerful and flexible type of adaptivity. In this paper, two versions of a fully automatic hp-adaptive FEM for electromagnetics are presented. The first version is based on minimizing the energy-norm of the error. The second, namely the goal oriented strategy, is based on minimizing the error of a given (user-prescribed) quantity of interest. The adaptive strategy delivers exponential convergence rates for the error, even in the presence of singularities. The hp adaptivity is presented in the context of 2-D analysis of H -plane rectangular waveguide discontinuities. Stabilized variational formulations and H(curl) FEM discretizations in terms of quadrilaterals of variable order of approximation supporting anisotropy and hanging nodes are used. Comparison of energy-norm and goal-oriented hp-adaptive strategies in the context of waveguiding problems is provided. Specifically, the scattering parameters of the discontinuity are used as goal. © 2006 IEEE.
dc.formatapplication/pdf
dc.languageeng
dc.publisherIEEE Transactions on Microwave Theory and Techniques
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectFinite-element methods (FEMs)
dc.subjectRectangular waveguides
dc.subjectWaveguide discontinuities
dc.titleEnergy-norm-based and goal-oriented automatic hp adaptivity for electromagnetics: Application to waveguide Discontinuities
dc.typeinfo:eu-repo/semantics/conferenceObject
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1109/TMTT.2008.2007096
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-57849130755&doi=10.1109%2fTMTT.2008.2007096&partnerID=40&md5=ed6b12626763e93f4a0a1525cc12f039


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