Elektromanyetik saçılım problemlerinin lokal olarak düzeltilmiş nytsröm yöntemiyle çözümü

The locally corrected Nystr¨om (LCN) method is used to solve integral equationswith high accuracy and efficiency. Unlike commonly used methods, the LCNmethod employs high-order basis functions on high-order surfaces. Hence, thenumber of unknowns in the electromagnetic problem decreases substantially, thisalso reduces the total solution time of the problem. In this thesis, electromagneticscattering problems for arbitrary, three-dimensional, and conducting geometriesare solved with the LCN method. Both the electric-field integral equation (EFIE)and the magnetic-field integral equation (MFIE) are implemented. The solutiontime for Duffy integrals is reduced significantly by modifying the Duffy transform.Then, mixed-order basis functions are implemented to accurately represent thecharge density for EFIE. Finally, both the accuracy and the efficiency (in termsof solutions times and the number of unknowns) of the LCN method are comparedwith the method of moments and the multilevel fast multipole algorithm.