Discretization error due to the identity operator in surface integral equations

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buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage1752en_US
dc.citation.issueNumber10en_US
dc.citation.spage1746en_US
dc.citation.volumeNumber180en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.date.accessioned2016-02-08T10:02:15Z
dc.date.available2016-02-08T10:02:15Z
dc.date.issued2009-05-03en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.description.abstractWe consider the accuracy of surface integral equations for the solution of scattering and radiation problems in electromagnetics. In numerical solutions, second-kind integral equations involving well-tested identity operators are preferable for efficiency, because they produce diagonally-dominant matrix equations that can be solved easily with iterative methods. However, the existence of the well-tested identity operators leads to inaccurate results, especially when the equations are discretized with low-order basis functions, such as the Rao-Wilton-Glisson functions. By performing a computational experiment based on the nonradiating property of the tangential incident fields on arbitrary surfaces, we show that the discretization error of the identity operator is a major error source that contaminates the accuracy of the second-kind integral equations significantly.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:02:15Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2009en
dc.identifier.doi10.1016/j.cpc.2009.04.020en_US
dc.identifier.issn0010-4655
dc.identifier.urihttp://hdl.handle.net/11693/22600
dc.language.isoEnglishen_US
dc.publisherELSEVIERen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.cpc.2009.04.020en_US
dc.source.titleComputer Physics Communicationsen_US
dc.subjectAccuracy analysisen_US
dc.subjectFirst-kind integral equationsen_US
dc.subjectIdentity operatoren_US
dc.subjectLow-order basis functionsen_US
dc.subjectSecond-kind integral equationsen_US
dc.subjectSurface integral equationsen_US
dc.titleDiscretization error due to the identity operator in surface integral equationsen_US
dc.typeArticleen_US

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