Highly Accurate Implementations of Methods for Handling Singularities on a Planar Patch
Keywords:
Green’s function singularity, singularity extraction, Duffy transformation, arcsinh transformation, integral equation, method of moments, high order, and boundary element method.Abstract
Three methods for evaluating integrals containing the Green’s function singularity are studied from the standpoint of numerical accuracy at levels required in high order calculations. A significant source of potential error was found to be common to all methods. Suggestions for improving the accuracy of all three are proposed.
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