Optimum Cell Size for High Order Singular Basis Functions At Geometric Corners
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Optimum Cell Size for High Order Singular Basis Functions At Geometric CornersAbstract
Both low-order and high-order singular basis functions have been previously proposed for modeling edge singularities in the current and charge densities at geometric corners in electromagnetic integral equation formulations. This paper attempts to identify an optimum dimension for the cells adjacent to corners, as a function of the polynomial degree of the representation used away from the corner cells. The residual error obtained via the solution of an over-determined system of equations is used to judge the relative accuracy of various approaches.
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