Direct Field and Mixed Potential Integral Equation Solutions by Fast Fourier Transform Accelerated Multilevel Green’s Function Interpolation for Conducting and Impedance Boundary Objects
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Direct Field and Mixed Potential Integral Equation Solutions by Fast Fourier Transform Accelerated Multilevel Green’s Function Interpolation for Conducting and Impedance Boundary ObjectsAbstract
A fast solver based on multilevel Lagrange interpolation of homogenous space electric and magnetic field Green’s functions is discussed. Broadband applications are possible due to a wavelength adaptive multilevel scheme. By an FFT-technique, the pertinent translation operators are diagonalized. An impedance boundary condition (IBC) is employed considering electric and magnetic currents for the approximate treatment of non-metallic objects. The common mixedpotential integral equation and a direct field formulation are both discussed. In general, the direct field formulation leads to more accurate results in conjunction with interpolated Green’s functions, especially for low frequency problems. The efficiency of the algorithm is shown in several numerical examples.
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