Analysis of Numerical Integration Accuracy of Singular Integrals in Moment Method of TDEFIE

The area coordinates, relative coordinates, domain decomposition and general Duffy coordinate transformations are employed to transform the singular integrals (the supports of the basis and test functions have common facet, common edge or common one vertex) of the time-domain electric field integral equation (TDEFIE) into non-singular integrals, which allows to be accurately evaluated. With different temporal basis function (continuous and non-continuous derivative) and different time step size, the comparisons of the accuracy of the proposed method and traditional numerical integral methods are also presented