Abstract
It is difficult to evaluate the near-singular four-dimensional integrals in the Galerkin magnetic-field integral equations (MFIE), especially for the curvilinear elements. This communication presents a hyperbolic transformation to cancel the near singularities in the 1/R <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> kernel on curved quadrilateral elements, which is addressed theoretically and numerically. This method has a much simpler formula than the so-called DIRECTFN method, and its convergence rate may be much faster than the latter. This is demonstrated by evaluating the near-singular integral of a sharp-edged structure composed of two curvilinear quadrilaterals.
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