The Impact of Integration Order and Accuracy on the Stability of Time Domain Integral Equations

The integration rules and orders for the computation of kernel elements directly effect the stability of the discretization of time domain integral equations for electromagnetic analysis. Our previous works examined this effect for closed objects using an analysis based on the combined field integral equation. In this work, we use adaptive quadrature to show the impact of integration accuracy in kernel computation on stability for open structures analyzed with the electric field integral equation. Numerical results show a high integral order does not necessarily bring a high accuracy, and that a higher accuracy in the near field integration can be helpful to achieve stability.