Kılınç, Seçil2016-01-082016-01-082010http://hdl.handle.net/11693/15761Ankara : The Department of Electrical and Electronics Engineering and the Institute of Engineering and Sciences of Bilkent University, 2010.Thesis (Master's) -- Bilkent University, 2010.Includes bibliographical references leaves 91-94.The 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.xvii, 98 leaves, illustrations, tablesEnglishinfo:eu-repo/semantics/openAccessThe locally corrected Nystr¨om (LCN) methodelectromagnetic scatteringsurface integral equationshigh-order geometry modelinghigh-order basis functionsthe Duffy transformradar cross sectionTA347.I5 K55 2010Integral equations.Electromagnetic waves--Scattering--Mathematics.Electromagnetism--Mathematics.Thesis