Evaluation and integration of the thin wire kernel

New approaches for numerically computing the thin wire kernel and wire potential integrals are presented. The singular behavior of the kernel integral is removed by transforming the integration variable to produce a smooth integrand. Subsequent integration of the kernel to obtain potential integrals uses quadrature schemes catering to its behavior. This technique allows standard algorithms for numerical quadrature to be used with updated integration weights that account for the transformed behavior, obviating the need for singularity subtraction techniques. The result is a procedure for evaluating the potential integrals that is independent of the basis functions.