
Summary: This paper is concerned with the application of the Overhauser \(C^1\) continuous boundary element method to the calculation of electromagnetic scattering. The method preserves \(C^1\) continuity of the smooth parts of the surface of a scatterer and of the unknown functions which are defined on it. Results for a perfectly conducting sphere have been compared with those obtained from Mie theory and the \(C^0\) formulation. They show that the \(C^1\) version requires fewer surface nodes and significantly less computer time for higher frequencies to provide results of equivalent accuracy. Some results from an ogive have also been calculated and compared using the \(C^0\) and \(C^1\) formulations.
Boundary element methods for boundary value problems involving PDEs, Boundary element methods applied to problems in optics and electromagnetic theory, Diffraction, scattering
Boundary element methods for boundary value problems involving PDEs, Boundary element methods applied to problems in optics and electromagnetic theory, Diffraction, scattering
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