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dc.contributor.advisorGürel, Leventen_US
dc.contributor.authorKılınç, Seçilen_US
dc.date.accessioned2016-01-08T18:24:14Z
dc.date.available2016-01-08T18:24:14Z
dc.date.issued2010
dc.identifier.urihttp://hdl.handle.net/11693/15761
dc.descriptionAnkara : The Department of Electrical and Electronics Engineering and the Institute of Engineering and Sciences of Bilkent University, 2010.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2010.en_US
dc.descriptionIncludes bibliographical references leaves 91-94.en_US
dc.description.abstractThe locally corrected Nystr¨om (LCN) method is used to solve integral equations with high accuracy and efficiency. Unlike commonly used methods, the LCN method employs high-order basis functions on high-order surfaces. Hence, the number of unknowns in the electromagnetic problem decreases substantially, this also reduces the total solution time of the problem. In this thesis, electromagnetic scattering problems for arbitrary, three-dimensional, and conducting geometries are solved with the LCN method. Both the electric-field integral equation (EFIE) and the magnetic-field integral equation (MFIE) are implemented. The solution time for Duffy integrals is reduced significantly by modifying the Duffy transform. Then, mixed-order basis functions are implemented to accurately represent the charge density for EFIE. Finally, both the accuracy and the efficiency (in terms of solutions times and the number of unknowns) of the LCN method are compared with the method of moments and the multilevel fast multipole algorithm.en_US
dc.description.statementofresponsibilityKılınç, Seçilen_US
dc.format.extentxvii, 98 leaves, illustrations, tablesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectThe locally corrected Nystr¨om (LCN) methoden_US
dc.subjectelectromagnetic scatteringen_US
dc.subjectsurface integral equationsen_US
dc.subjecthigh-order geometry modelingen_US
dc.subjecthigh-order basis functionsen_US
dc.subjectthe Duffy transformen_US
dc.subjectradar cross sectionen_US
dc.subject.lccTA347.I5 K55 2010en_US
dc.subject.lcshIntegral equations.en_US
dc.subject.lcshElectromagnetic waves--Scattering--Mathematics.en_US
dc.subject.lcshElectromagnetism--Mathematics.en_US
dc.titleSolution of electromagnetic scattering problems with the locally corrected Nyström methoden_US
dc.typeThesisen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US


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